0.439 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.028 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.028 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.028 * * [simplify]: Extracting # 2 : cost 6 inf + 0 0.028 * * [simplify]: Extracting # 3 : cost 6 inf + 42 0.028 * * [simplify]: Extracting # 4 : cost 6 inf + 43 0.029 * * [simplify]: Extracting # 5 : cost 0 inf + 616 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 243 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 inf + 616 0.030 * * [simplify]: Extracting # 1 : cost 2 inf + 616 0.031 * * [simplify]: Extracting # 2 : cost 0 inf + 821 0.031 * * [simplify]: iteration 1 : 17 enodes (cost 243 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 inf + 821 0.034 * * [simplify]: Extracting # 1 : cost 7 inf + 821 0.034 * * [simplify]: Extracting # 2 : cost 0 inf + 1278 0.034 * * [simplify]: iteration 2 : 35 enodes (cost 203 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 inf + 1278 0.041 * * [simplify]: iteration 3 : 46 enodes (cost 203 ) 0.047 * * [simplify]: Extracting # 0 : cost 0 inf + 1278 0.048 * * [simplify]: iteration complete: 46 enodes (cost 203 ) 0.048 * [simplify]: Simplified to: (+ (* y y) (* x (+ x (* 2.0 y)))) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.068 * * * * [pick]: Picked # 0.068 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.130 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.145 * * * [progress]: generating series expansions 0.145 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.146 * [backup-simplify]: Simplify (* x (+ x (* 2.0 y))) into (* x (+ x (* 2.0 y))) 0.146 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [backup-simplify]: Simplify x into x 0.146 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [backup-simplify]: Simplify x into x 0.146 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.146 * [taylor]: Taking taylor expansion of 2.0 in y 0.146 * [backup-simplify]: Simplify 2.0 into 2.0 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.146 * [taylor]: Taking taylor expansion of 2.0 in x 0.146 * [backup-simplify]: Simplify 2.0 into 2.0 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.147 * [taylor]: Taking taylor expansion of 2.0 in x 0.147 * [backup-simplify]: Simplify 2.0 into 2.0 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y) 0.147 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.147 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.149 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.149 * [taylor]: Taking taylor expansion of 2.0 in y 0.149 * [backup-simplify]: Simplify 2.0 into 2.0 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 0.150 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.153 * [backup-simplify]: Simplify 2.0 into 2.0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.161 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (* 2.0 (/ 1 y)))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) 0.161 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.161 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.161 * [taylor]: Taking taylor expansion of 2.0 in y 0.161 * [backup-simplify]: Simplify 2.0 into 2.0 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 x in y 0.162 * [backup-simplify]: Simplify x into x 0.162 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.162 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.162 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.162 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of 2.0 in x 0.163 * [backup-simplify]: Simplify 2.0 into 2.0 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 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 0) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of 2.0 in x 0.164 * [backup-simplify]: Simplify 2.0 into 2.0 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.165 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.165 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.165 * [taylor]: Taking taylor expansion of 2.0 in y 0.166 * [backup-simplify]: Simplify 2.0 into 2.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.166 * [backup-simplify]: Simplify 2.0 into 2.0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) 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)) (* 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 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.177 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (* 2.0 (/ 1 (- y))))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) 0.177 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [backup-simplify]: Simplify x into x 0.177 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.177 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.177 * [taylor]: Taking taylor expansion of 2.0 in y 0.177 * [backup-simplify]: Simplify 2.0 into 2.0 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [backup-simplify]: Simplify x into x 0.177 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.178 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.178 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.178 * [taylor]: Taking taylor expansion of 2.0 in x 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.179 * [taylor]: Taking taylor expansion of 2.0 in x 0.179 * [backup-simplify]: Simplify 2.0 into 2.0 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.179 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.181 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.181 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.181 * [taylor]: Taking taylor expansion of 2.0 in y 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.182 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [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))) 0.195 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.196 * [backup-simplify]: Simplify (+ (* y y) (* x (+ x (* 2.0 y)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.196 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0 0.196 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.196 * [taylor]: Taking taylor expansion of 2.0 in x 0.196 * [backup-simplify]: Simplify 2.0 into 2.0 0.196 * [taylor]: Taking taylor expansion of (* x y) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.197 * [taylor]: Taking taylor expansion of 2.0 in y 0.197 * [backup-simplify]: Simplify 2.0 into 2.0 0.197 * [taylor]: Taking taylor expansion of (* x y) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.197 * [taylor]: Taking taylor expansion of 2.0 in y 0.197 * [backup-simplify]: Simplify 2.0 into 2.0 0.197 * [taylor]: Taking taylor expansion of (* x y) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.198 * [backup-simplify]: Simplify (* x 0) into 0 0.198 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.198 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.198 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.199 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.200 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 0.200 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.200 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.200 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.200 * [taylor]: Taking taylor expansion of 2.0 in x 0.200 * [backup-simplify]: Simplify 2.0 into 2.0 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.202 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [taylor]: Taking taylor expansion of 1 in x 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.205 * [backup-simplify]: Simplify 2.0 into 2.0 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.207 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* 2.0 (/ 1 y))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.207 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.208 * [taylor]: Taking taylor expansion of 2.0 in x 0.208 * [backup-simplify]: Simplify 2.0 into 2.0 0.208 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.208 * [taylor]: Taking taylor expansion of (* x y) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [backup-simplify]: Simplify y into y 0.208 * [backup-simplify]: Simplify (* 0 y) into 0 0.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.209 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [backup-simplify]: Simplify x into x 0.210 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.210 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.211 * [taylor]: Taking taylor expansion of 2.0 in y 0.211 * [backup-simplify]: Simplify 2.0 into 2.0 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.211 * [taylor]: Taking taylor expansion of (* x y) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [backup-simplify]: Simplify x into x 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* x 0) into 0 0.212 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (* 2.0 (/ 1 (* x y))) in y 0.220 * [taylor]: Taking taylor expansion of 2.0 in y 0.220 * [backup-simplify]: Simplify 2.0 into 2.0 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.220 * [taylor]: Taking taylor expansion of (* x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [backup-simplify]: Simplify x into x 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* x 0) into 0 0.221 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.221 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [taylor]: Taking taylor expansion of 1 in x 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.223 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.223 * [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 0.227 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.228 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.228 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.230 * [backup-simplify]: Simplify 2.0 into 2.0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [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 y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.231 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* 2.0 (/ 1 (- y)))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.231 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [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 (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.232 * [taylor]: Taking taylor expansion of 2.0 in x 0.232 * [backup-simplify]: Simplify 2.0 into 2.0 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.232 * [taylor]: Taking taylor expansion of (* x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (* 0 y) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.233 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [backup-simplify]: Simplify x into x 0.234 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.235 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.235 * [taylor]: Taking taylor expansion of 2.0 in y 0.235 * [backup-simplify]: Simplify 2.0 into 2.0 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.235 * [taylor]: Taking taylor expansion of (* x y) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.237 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.237 * [taylor]: Taking taylor expansion of 2.0 in y 0.237 * [backup-simplify]: Simplify 2.0 into 2.0 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.237 * [taylor]: Taking taylor expansion of (* x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [backup-simplify]: Simplify x into x 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* x 0) into 0 0.237 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.238 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [taylor]: Taking taylor expansion of 1 in x 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.240 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.240 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 2.0 in x 0.240 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.244 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 1 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.246 * [backup-simplify]: Simplify 2.0 into 2.0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [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 y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.247 * * * [progress]: simplifying candidates 0.248 * [simplify]: Simplifying: (* x (+ x (* 2.0 y))) (+ (log x) (log (+ x (* 2.0 y)))) (log (* x (+ x (* 2.0 y)))) (exp (* x (+ x (* 2.0 y)))) (* (* (* x x) x) (* (* (+ x (* 2.0 y)) (+ x (* 2.0 y))) (+ x (* 2.0 y)))) (* (cbrt (* x (+ x (* 2.0 y)))) (cbrt (* x (+ x (* 2.0 y))))) (cbrt (* x (+ x (* 2.0 y)))) (* (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* x (+ x (* 2.0 y)))) (sqrt (* x (+ x (* 2.0 y)))) (sqrt (* x (+ x (* 2.0 y)))) (* (sqrt x) (sqrt (+ x (* 2.0 y)))) (* (sqrt x) (sqrt (+ x (* 2.0 y)))) (* x x) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x (* (cbrt (+ x (* 2.0 y))) (cbrt (+ x (* 2.0 y))))) (* x (sqrt (+ x (* 2.0 y)))) (* x 1) (* (cbrt x) (+ x (* 2.0 y))) (* (sqrt x) (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))) (* x (+ (pow x 3) (pow (* 2.0 y) 3))) (* x (- (* x x) (* (* 2.0 y) (* 2.0 y)))) (* (exp (* y y)) (exp (* x (+ x (* 2.0 y))))) (log (+ (* y y) (* x (+ x (* 2.0 y))))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (pow (* y y) 3) (pow (* x (+ x (* 2.0 y))) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* (* y y) (* x (+ x (* 2.0 y)))))) (- (* (* y y) (* y y)) (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))))) (- (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.249 * * [simplify]: Extracting # 0 : cost 34 inf + 0 0.249 * * [simplify]: Extracting # 1 : cost 60 inf + 0 0.249 * * [simplify]: Extracting # 2 : cost 68 inf + 83 0.250 * * [simplify]: Extracting # 3 : cost 55 inf + 870 0.250 * * [simplify]: Extracting # 4 : cost 31 inf + 4805 0.252 * * [simplify]: Extracting # 5 : cost 9 inf + 10584 0.254 * * [simplify]: Extracting # 6 : cost 0 inf + 13382 0.256 * * [simplify]: iteration 0 : 71 enodes (cost 11103 ) 0.295 * * [simplify]: Extracting # 0 : cost 0 inf + 13382 0.297 * * [simplify]: Extracting # 1 : cost 71 inf + 12024 0.300 * * [simplify]: Extracting # 2 : cost 7 inf + 21115 0.303 * * [simplify]: Extracting # 3 : cost 2 inf + 21874 0.306 * * [simplify]: Extracting # 4 : cost 0 inf + 22460 0.310 * * [simplify]: iteration 1 : 237 enodes (cost 8824 ) 0.435 * * [simplify]: Extracting # 0 : cost 0 inf + 22460 0.445 * * [simplify]: Extracting # 1 : cost 294 inf + 21354 0.470 * * [simplify]: Extracting # 2 : cost 11 inf + 68470 0.507 * * [simplify]: Extracting # 3 : cost 3 inf + 69760 0.524 * * [simplify]: Extracting # 4 : cost 0 inf + 70738 0.546 * * [simplify]: iteration 2 : 1019 enodes (cost 8744 ) 0.977 * * [simplify]: Extracting # 0 : cost 0 inf + 70738 1.021 * * [simplify]: Extracting # 1 : cost 1986 inf + 70196 1.144 * * [simplify]: Extracting # 2 : cost 60 inf + 472728 1.320 * * [simplify]: Extracting # 3 : cost 15 inf + 478686 1.507 * * [simplify]: Extracting # 4 : cost 0 inf + 482904 1.653 * * [simplify]: Extracting # 5 : cost 0 inf + 482864 1.824 * * [simplify]: iteration complete: 5006 enodes (cost 8744 ) 1.825 * [simplify]: Simplified to: (* x (+ x (* 2.0 y))) (log (* x (+ x (* 2.0 y)))) (log (* x (+ x (* 2.0 y)))) (exp (* x (+ x (* 2.0 y)))) (* (* x (+ x (* 2.0 y))) (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))))) (* (cbrt (* x (+ x (* 2.0 y)))) (cbrt (* x (+ x (* 2.0 y))))) (cbrt (* x (+ x (* 2.0 y)))) (* (* x (+ x (* 2.0 y))) (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))))) (sqrt (* x (+ x (* 2.0 y)))) (sqrt (* x (+ x (* 2.0 y)))) (* (sqrt x) (sqrt (+ x (* 2.0 y)))) (* (sqrt x) (sqrt (+ x (* 2.0 y)))) (* x x) (* x (* 2.0 y)) (* x x) (* x (* 2.0 y)) (* x (* (cbrt (+ x (* 2.0 y))) (cbrt (+ x (* 2.0 y))))) (* x (sqrt (+ x (* 2.0 y)))) x (* (cbrt x) (+ x (* 2.0 y))) (* (sqrt x) (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))) (* (+ (* x (* x x)) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y))) x) (* x (- (* x x) (* (* 2.0 y) (* 2.0 y)))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (log (+ (* y y) (* x (+ x (* 2.0 y))))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* (* x (+ x (* 2.0 y))) (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))))) (* (* (* y y) (* y y)) (* y y))) (+ (* (* y y) (* y y)) (* (* x (+ x (* 2.0 y))) (- (* x (+ x (* 2.0 y))) (* y y)))) (- (* (* y y) (* y y)) (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))))) (- (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* 2.0 (* x y)) (* x x)) (+ (* 2.0 (* x y)) (* x x)) (+ (* 2.0 (* x y)) (* x x)) (+ (+ (* y y) (* x x)) (* 2.0 (* x y))) (+ (+ (* y y) (* x x)) (* 2.0 (* x y))) (+ (+ (* y y) (* x x)) (* 2.0 (* x y))) 1.828 * * * [progress]: adding candidates to table 2.006 * * [progress]: iteration 2 / 4 2.006 * * * [progress]: picking best candidate 2.009 * * * * [pick]: Picked # 2.010 * * * [progress]: localizing error 2.021 * * * [progress]: generating rewritten candidates 2.021 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.068 * * * [progress]: generating series expansions 2.069 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.069 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.069 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (x y) around 0 2.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 2.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.069 * [taylor]: Taking taylor expansion of y in y 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 2.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.069 * [taylor]: Taking taylor expansion of x in y 2.069 * [backup-simplify]: Simplify x into x 2.069 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.069 * [taylor]: Taking taylor expansion of 2.0 in y 2.069 * [backup-simplify]: Simplify 2.0 into 2.0 2.069 * [taylor]: Taking taylor expansion of (* x y) in y 2.069 * [taylor]: Taking taylor expansion of x in y 2.069 * [backup-simplify]: Simplify x into x 2.069 * [taylor]: Taking taylor expansion of y in y 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 2.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.070 * [taylor]: Taking taylor expansion of y in x 2.070 * [backup-simplify]: Simplify y into y 2.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.070 * [taylor]: Taking taylor expansion of 2.0 in x 2.070 * [backup-simplify]: Simplify 2.0 into 2.0 2.070 * [taylor]: Taking taylor expansion of (* x y) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of y in x 2.070 * [backup-simplify]: Simplify y into y 2.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 2.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.070 * [taylor]: Taking taylor expansion of y in x 2.070 * [backup-simplify]: Simplify y into y 2.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.070 * [taylor]: Taking taylor expansion of 2.0 in x 2.070 * [backup-simplify]: Simplify 2.0 into 2.0 2.070 * [taylor]: Taking taylor expansion of (* x y) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of y in x 2.070 * [backup-simplify]: Simplify y into y 2.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.070 * [backup-simplify]: Simplify (* 0 y) into 0 2.071 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.072 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 2.072 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.072 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.072 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.072 * [taylor]: Taking taylor expansion of 2.0 in y 2.072 * [backup-simplify]: Simplify 2.0 into 2.0 2.072 * [taylor]: Taking taylor expansion of y in y 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.074 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 2.075 * [backup-simplify]: Simplify (+ 1 0) into 1 2.075 * [backup-simplify]: Simplify (+ 0 1) into 1 2.075 * [taylor]: Taking taylor expansion of 1 in y 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.076 * [backup-simplify]: Simplify 2.0 into 2.0 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.077 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 2.077 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 2.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.077 * [taylor]: Taking taylor expansion of y in y 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.078 * [taylor]: Taking taylor expansion of x in y 2.078 * [backup-simplify]: Simplify x into x 2.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.078 * [taylor]: Taking taylor expansion of 2.0 in y 2.078 * [backup-simplify]: Simplify 2.0 into 2.0 2.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.078 * [taylor]: Taking taylor expansion of (* x y) in y 2.078 * [taylor]: Taking taylor expansion of x in y 2.078 * [backup-simplify]: Simplify x into x 2.078 * [taylor]: Taking taylor expansion of y in y 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* x 0) into 0 2.078 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.078 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.078 * [taylor]: Taking taylor expansion of y in x 2.078 * [backup-simplify]: Simplify y into y 2.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (* 1 1) into 1 2.079 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.079 * [taylor]: Taking taylor expansion of 2.0 in x 2.079 * [backup-simplify]: Simplify 2.0 into 2.0 2.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.079 * [taylor]: Taking taylor expansion of (* x y) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [taylor]: Taking taylor expansion of y in x 2.079 * [backup-simplify]: Simplify y into y 2.079 * [backup-simplify]: Simplify (* 0 y) into 0 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.080 * [taylor]: Taking taylor expansion of y in x 2.080 * [backup-simplify]: Simplify y into y 2.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.081 * [taylor]: Taking taylor expansion of 2.0 in x 2.081 * [backup-simplify]: Simplify 2.0 into 2.0 2.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.081 * [taylor]: Taking taylor expansion of (* x y) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [taylor]: Taking taylor expansion of y in x 2.081 * [backup-simplify]: Simplify y into y 2.081 * [backup-simplify]: Simplify (* 0 y) into 0 2.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.081 * [backup-simplify]: Simplify (+ 1 0) into 1 2.082 * [backup-simplify]: Simplify (+ 0 1) into 1 2.082 * [taylor]: Taking taylor expansion of 1 in y 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 2.083 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.083 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 2.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.083 * [taylor]: Taking taylor expansion of 2.0 in y 2.083 * [backup-simplify]: Simplify 2.0 into 2.0 2.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.083 * [taylor]: Taking taylor expansion of y in y 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (* 1 1) into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.087 * [backup-simplify]: Simplify 2.0 into 2.0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.087 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 2.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.087 * [taylor]: Taking taylor expansion of y in y 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.088 * [taylor]: Taking taylor expansion of x in y 2.088 * [backup-simplify]: Simplify x into x 2.088 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.088 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.088 * [taylor]: Taking taylor expansion of 2.0 in y 2.088 * [backup-simplify]: Simplify 2.0 into 2.0 2.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.088 * [taylor]: Taking taylor expansion of (* x y) in y 2.088 * [taylor]: Taking taylor expansion of x in y 2.088 * [backup-simplify]: Simplify x into x 2.088 * [taylor]: Taking taylor expansion of y in y 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (* x 0) into 0 2.089 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.089 * [taylor]: Taking taylor expansion of y in x 2.089 * [backup-simplify]: Simplify y into y 2.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (* 1 1) into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.089 * [taylor]: Taking taylor expansion of 2.0 in x 2.089 * [backup-simplify]: Simplify 2.0 into 2.0 2.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.090 * [taylor]: Taking taylor expansion of (* x y) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [taylor]: Taking taylor expansion of y in x 2.090 * [backup-simplify]: Simplify y into y 2.090 * [backup-simplify]: Simplify (* 0 y) into 0 2.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.090 * [taylor]: Taking taylor expansion of y in x 2.090 * [backup-simplify]: Simplify y into y 2.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.091 * [taylor]: Taking taylor expansion of 2.0 in x 2.091 * [backup-simplify]: Simplify 2.0 into 2.0 2.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.091 * [taylor]: Taking taylor expansion of (* x y) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [backup-simplify]: Simplify y into y 2.091 * [backup-simplify]: Simplify (* 0 y) into 0 2.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.091 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.092 * [backup-simplify]: Simplify (+ 1 0) into 1 2.092 * [backup-simplify]: Simplify (+ 0 1) into 1 2.092 * [taylor]: Taking taylor expansion of 1 in y 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 2.093 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.093 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 2.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.093 * [taylor]: Taking taylor expansion of 2.0 in y 2.093 * [backup-simplify]: Simplify 2.0 into 2.0 2.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.093 * [taylor]: Taking taylor expansion of y in y 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.096 * [taylor]: Taking taylor expansion of y in y 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (* 1 1) into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.097 * [backup-simplify]: Simplify 2.0 into 2.0 2.097 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.098 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.098 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 2.098 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 2.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.098 * [taylor]: Taking taylor expansion of x in y 2.098 * [backup-simplify]: Simplify x into x 2.098 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.098 * [taylor]: Taking taylor expansion of 2.0 in y 2.098 * [backup-simplify]: Simplify 2.0 into 2.0 2.098 * [taylor]: Taking taylor expansion of (* x y) in y 2.098 * [taylor]: Taking taylor expansion of x in y 2.098 * [backup-simplify]: Simplify x into x 2.098 * [taylor]: Taking taylor expansion of y in y 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.098 * [taylor]: Taking taylor expansion of 2.0 in x 2.098 * [backup-simplify]: Simplify 2.0 into 2.0 2.098 * [taylor]: Taking taylor expansion of (* x y) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of y in x 2.098 * [backup-simplify]: Simplify y into y 2.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.098 * [taylor]: Taking taylor expansion of 2.0 in x 2.098 * [backup-simplify]: Simplify 2.0 into 2.0 2.099 * [taylor]: Taking taylor expansion of (* x y) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [taylor]: Taking taylor expansion of y in x 2.099 * [backup-simplify]: Simplify y into y 2.099 * [backup-simplify]: Simplify (* 0 y) into 0 2.099 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [taylor]: Taking taylor expansion of 0 in y 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.100 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 2.100 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.100 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.100 * [taylor]: Taking taylor expansion of 2.0 in y 2.100 * [backup-simplify]: Simplify 2.0 into 2.0 2.100 * [taylor]: Taking taylor expansion of y in y 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 2.102 * [backup-simplify]: Simplify (+ 1 0) into 1 2.102 * [taylor]: Taking taylor expansion of 1 in y 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.103 * [backup-simplify]: Simplify 2.0 into 2.0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [taylor]: Taking taylor expansion of 0 in y 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 2.109 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 2.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.109 * [taylor]: Taking taylor expansion of x in y 2.109 * [backup-simplify]: Simplify x into x 2.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.109 * [taylor]: Taking taylor expansion of 2.0 in y 2.109 * [backup-simplify]: Simplify 2.0 into 2.0 2.109 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.109 * [taylor]: Taking taylor expansion of (* x y) in y 2.109 * [taylor]: Taking taylor expansion of x in y 2.109 * [backup-simplify]: Simplify x into x 2.109 * [taylor]: Taking taylor expansion of y in y 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (* x 0) into 0 2.109 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.109 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.110 * [taylor]: Taking taylor expansion of 2.0 in x 2.110 * [backup-simplify]: Simplify 2.0 into 2.0 2.110 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.110 * [taylor]: Taking taylor expansion of (* x y) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of y in x 2.110 * [backup-simplify]: Simplify y into y 2.110 * [backup-simplify]: Simplify (* 0 y) into 0 2.111 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.111 * [taylor]: Taking taylor expansion of 2.0 in x 2.111 * [backup-simplify]: Simplify 2.0 into 2.0 2.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.111 * [taylor]: Taking taylor expansion of (* x y) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of y in x 2.111 * [backup-simplify]: Simplify y into y 2.111 * [backup-simplify]: Simplify (* 0 y) into 0 2.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.112 * [backup-simplify]: Simplify (+ 1 0) into 1 2.112 * [taylor]: Taking taylor expansion of 1 in y 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 2.113 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.113 * [taylor]: Taking taylor expansion of 2.0 in y 2.113 * [backup-simplify]: Simplify 2.0 into 2.0 2.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.113 * [taylor]: Taking taylor expansion of y in y 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.114 * [backup-simplify]: Simplify 2.0 into 2.0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [taylor]: Taking taylor expansion of 0 in y 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [taylor]: Taking taylor expansion of 0 in y 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [taylor]: Taking taylor expansion of 0 in y 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [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))) 2.132 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 2.132 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.132 * [taylor]: Taking taylor expansion of x in y 2.132 * [backup-simplify]: Simplify x into x 2.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.132 * [taylor]: Taking taylor expansion of 2.0 in y 2.132 * [backup-simplify]: Simplify 2.0 into 2.0 2.132 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.132 * [taylor]: Taking taylor expansion of (* x y) in y 2.132 * [taylor]: Taking taylor expansion of x in y 2.132 * [backup-simplify]: Simplify x into x 2.132 * [taylor]: Taking taylor expansion of y in y 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (* x 0) into 0 2.133 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.133 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [backup-simplify]: Simplify (* 1 1) into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.134 * [taylor]: Taking taylor expansion of 2.0 in x 2.134 * [backup-simplify]: Simplify 2.0 into 2.0 2.134 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.134 * [taylor]: Taking taylor expansion of (* x y) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of y in x 2.134 * [backup-simplify]: Simplify y into y 2.134 * [backup-simplify]: Simplify (* 0 y) into 0 2.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.135 * [taylor]: Taking taylor expansion of 2.0 in x 2.135 * [backup-simplify]: Simplify 2.0 into 2.0 2.135 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.135 * [taylor]: Taking taylor expansion of (* x y) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of y in x 2.136 * [backup-simplify]: Simplify y into y 2.136 * [backup-simplify]: Simplify (* 0 y) into 0 2.136 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.137 * [taylor]: Taking taylor expansion of 1 in y 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 2.138 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.138 * [taylor]: Taking taylor expansion of 2.0 in y 2.138 * [backup-simplify]: Simplify 2.0 into 2.0 2.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.138 * [taylor]: Taking taylor expansion of y in y 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.139 * [backup-simplify]: Simplify 2.0 into 2.0 2.139 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [taylor]: Taking taylor expansion of 0 in y 2.144 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.145 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [taylor]: Taking taylor expansion of 0 in y 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [taylor]: Taking taylor expansion of 0 in y 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [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))) 2.154 * * * [progress]: simplifying candidates 2.155 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 2.155 * * [simplify]: Extracting # 0 : cost 26 inf + 0 2.156 * * [simplify]: Extracting # 1 : cost 48 inf + 0 2.156 * * [simplify]: Extracting # 2 : cost 57 inf + 0 2.156 * * [simplify]: Extracting # 3 : cost 49 inf + 168 2.156 * * [simplify]: Extracting # 4 : cost 34 inf + 2471 2.157 * * [simplify]: Extracting # 5 : cost 13 inf + 8407 2.158 * * [simplify]: Extracting # 6 : cost 3 inf + 11709 2.159 * * [simplify]: Extracting # 7 : cost 0 inf + 12979 2.160 * * [simplify]: iteration 0 : 57 enodes (cost 10844 ) 2.178 * * [simplify]: Extracting # 0 : cost 0 inf + 12979 2.179 * * [simplify]: Extracting # 1 : cost 55 inf + 11664 2.182 * * [simplify]: Extracting # 2 : cost 10 inf + 19597 2.187 * * [simplify]: Extracting # 3 : cost 6 inf + 20023 2.193 * * [simplify]: Extracting # 4 : cost 0 inf + 21659 2.199 * * [simplify]: iteration 1 : 191 enodes (cost 8426 ) 2.345 * * [simplify]: Extracting # 0 : cost 0 inf + 21659 2.355 * * [simplify]: Extracting # 1 : cost 268 inf + 20844 2.381 * * [simplify]: Extracting # 2 : cost 21 inf + 71062 2.414 * * [simplify]: Extracting # 3 : cost 4 inf + 74349 2.447 * * [simplify]: Extracting # 4 : cost 0 inf + 75421 2.483 * * [simplify]: iteration 2 : 963 enodes (cost 8386 ) 3.615 * * [simplify]: Extracting # 0 : cost 0 inf + 75421 3.657 * * [simplify]: Extracting # 1 : cost 1035 inf + 72993 3.803 * * [simplify]: Extracting # 2 : cost 28 inf + 288450 4.012 * * [simplify]: Extracting # 3 : cost 2 inf + 294613 4.240 * * [simplify]: Extracting # 4 : cost 0 inf + 295259 4.409 * * [simplify]: iteration 3 : 4818 enodes (cost 7866 ) 6.163 * * [simplify]: Extracting # 0 : cost 0 inf + 295259 6.325 * * [simplify]: Extracting # 1 : cost 77 inf + 294276 6.488 * * [simplify]: Extracting # 2 : cost 0 inf + 306877 6.665 * * [simplify]: Extracting # 3 : cost 0 inf + 306807 6.841 * * [simplify]: iteration complete: 5000 enodes (cost 7866 ) 6.842 * [simplify]: Simplified to: (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (* (+ (* x x) (* y (+ (* x 2.0) y))) (* (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (* (* y y) (* (* y y) (* y y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y)))) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (- (* y y) (+ (* x x) (* (* x 2.0) y))))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (* y (+ (* x 2.0) y)) (exp (+ (* x x) (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (* (* (* x 2.0) y) (* (* (* x 2.0) y) (* (* x 2.0) y))) (* (* x x) (* (* x x) (* x x)))) (+ (* (* (* x 2.0) y) (- (* (* x 2.0) y) (* x x))) (* (* x x) (* x x))) (* (* x x) (- (* x x) (* (* 2.0 y) (* 2.0 y)))) (- (* x x) (* (* x 2.0) y)) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y)) 6.845 * * * [progress]: adding candidates to table 6.968 * * [progress]: iteration 3 / 4 6.968 * * * [progress]: picking best candidate 6.971 * * * * [pick]: Picked # 6.971 * * * [progress]: localizing error 6.983 * * * [progress]: generating rewritten candidates 6.983 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.998 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 7.024 * * * [progress]: generating series expansions 7.024 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.024 * [backup-simplify]: Simplify (+ (* x x) (* y (+ (* x 2.0) y))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 7.024 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (x y) around 0 7.024 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 7.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.024 * [taylor]: Taking taylor expansion of y in y 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 7.024 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.024 * [taylor]: Taking taylor expansion of x in y 7.024 * [backup-simplify]: Simplify x into x 7.024 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 7.024 * [taylor]: Taking taylor expansion of 2.0 in y 7.024 * [backup-simplify]: Simplify 2.0 into 2.0 7.024 * [taylor]: Taking taylor expansion of (* x y) in y 7.024 * [taylor]: Taking taylor expansion of x in y 7.024 * [backup-simplify]: Simplify x into x 7.024 * [taylor]: Taking taylor expansion of y in y 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 7.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.024 * [taylor]: Taking taylor expansion of y in x 7.024 * [backup-simplify]: Simplify y into y 7.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 7.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.024 * [taylor]: Taking taylor expansion of x in x 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 7.024 * [taylor]: Taking taylor expansion of 2.0 in x 7.024 * [backup-simplify]: Simplify 2.0 into 2.0 7.024 * [taylor]: Taking taylor expansion of (* x y) in x 7.024 * [taylor]: Taking taylor expansion of x in x 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [taylor]: Taking taylor expansion of y in x 7.024 * [backup-simplify]: Simplify y into y 7.024 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 7.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.024 * [taylor]: Taking taylor expansion of y in x 7.025 * [backup-simplify]: Simplify y into y 7.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 7.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.025 * [taylor]: Taking taylor expansion of x in x 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 1 into 1 7.025 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 7.025 * [taylor]: Taking taylor expansion of 2.0 in x 7.025 * [backup-simplify]: Simplify 2.0 into 2.0 7.025 * [taylor]: Taking taylor expansion of (* x y) in x 7.025 * [taylor]: Taking taylor expansion of x in x 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 1 into 1 7.025 * [taylor]: Taking taylor expansion of y in x 7.025 * [backup-simplify]: Simplify y into y 7.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.025 * [backup-simplify]: Simplify (* 0 y) into 0 7.025 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.026 * [backup-simplify]: Simplify (+ 0 0) into 0 7.026 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.026 * [taylor]: Taking taylor expansion of y in y 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.027 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 7.027 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 7.027 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 7.027 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 7.027 * [taylor]: Taking taylor expansion of 2.0 in y 7.027 * [backup-simplify]: Simplify 2.0 into 2.0 7.027 * [taylor]: Taking taylor expansion of y in y 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.028 * [backup-simplify]: Simplify (* 1 1) into 1 7.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 7.029 * [backup-simplify]: Simplify (+ 1 0) into 1 7.029 * [backup-simplify]: Simplify (+ 0 1) into 1 7.029 * [taylor]: Taking taylor expansion of 1 in y 7.029 * [backup-simplify]: Simplify 1 into 1 7.029 * [backup-simplify]: Simplify 1 into 1 7.030 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 7.030 * [backup-simplify]: Simplify 2.0 into 2.0 7.030 * [backup-simplify]: Simplify (* 1 1) into 1 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 7.031 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 7.031 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 7.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 7.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.031 * [taylor]: Taking taylor expansion of y in y 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (* 1 1) into 1 7.032 * [backup-simplify]: Simplify (/ 1 1) into 1 7.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 7.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.032 * [taylor]: Taking taylor expansion of x in y 7.032 * [backup-simplify]: Simplify x into x 7.032 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.032 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.032 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 7.032 * [taylor]: Taking taylor expansion of 2.0 in y 7.032 * [backup-simplify]: Simplify 2.0 into 2.0 7.032 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 7.032 * [taylor]: Taking taylor expansion of (* x y) in y 7.032 * [taylor]: Taking taylor expansion of x in y 7.032 * [backup-simplify]: Simplify x into x 7.032 * [taylor]: Taking taylor expansion of y in y 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 1 into 1 7.032 * [backup-simplify]: Simplify (* x 0) into 0 7.032 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 7.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 7.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.033 * [taylor]: Taking taylor expansion of y in x 7.033 * [backup-simplify]: Simplify y into y 7.033 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 7.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.033 * [taylor]: Taking taylor expansion of x in x 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [backup-simplify]: Simplify (* 1 1) into 1 7.033 * [backup-simplify]: Simplify (/ 1 1) into 1 7.033 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 7.033 * [taylor]: Taking taylor expansion of 2.0 in x 7.033 * [backup-simplify]: Simplify 2.0 into 2.0 7.033 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.033 * [taylor]: Taking taylor expansion of (* x y) in x 7.033 * [taylor]: Taking taylor expansion of x in x 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [taylor]: Taking taylor expansion of y in x 7.033 * [backup-simplify]: Simplify y into y 7.033 * [backup-simplify]: Simplify (* 0 y) into 0 7.034 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.034 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 7.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.034 * [taylor]: Taking taylor expansion of y in x 7.034 * [backup-simplify]: Simplify y into y 7.034 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.034 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 7.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.034 * [taylor]: Taking taylor expansion of x in x 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 1 into 1 7.034 * [backup-simplify]: Simplify (* 1 1) into 1 7.035 * [backup-simplify]: Simplify (/ 1 1) into 1 7.035 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 7.035 * [taylor]: Taking taylor expansion of 2.0 in x 7.035 * [backup-simplify]: Simplify 2.0 into 2.0 7.035 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.035 * [taylor]: Taking taylor expansion of (* x y) in x 7.035 * [taylor]: Taking taylor expansion of x in x 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 1 into 1 7.035 * [taylor]: Taking taylor expansion of y in x 7.035 * [backup-simplify]: Simplify y into y 7.035 * [backup-simplify]: Simplify (* 0 y) into 0 7.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.035 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.035 * [backup-simplify]: Simplify (+ 1 0) into 1 7.036 * [backup-simplify]: Simplify (+ 0 1) into 1 7.036 * [taylor]: Taking taylor expansion of 1 in y 7.036 * [backup-simplify]: Simplify 1 into 1 7.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.037 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 7.037 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 7.037 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 7.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 7.037 * [taylor]: Taking taylor expansion of 2.0 in y 7.037 * [backup-simplify]: Simplify 2.0 into 2.0 7.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.037 * [taylor]: Taking taylor expansion of y in y 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [backup-simplify]: Simplify (/ 1 1) into 1 7.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.039 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 7.039 * [backup-simplify]: Simplify (+ 0 0) into 0 7.040 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.040 * [taylor]: Taking taylor expansion of y in y 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.041 * [backup-simplify]: Simplify (/ 1 1) into 1 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 7.041 * [backup-simplify]: Simplify 2.0 into 2.0 7.041 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 7.042 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 7.042 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 7.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 7.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.043 * [taylor]: Taking taylor expansion of y in y 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify (* 1 1) into 1 7.043 * [backup-simplify]: Simplify (/ 1 1) into 1 7.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 7.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.043 * [taylor]: Taking taylor expansion of x in y 7.044 * [backup-simplify]: Simplify x into x 7.044 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.044 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 7.044 * [taylor]: Taking taylor expansion of 2.0 in y 7.044 * [backup-simplify]: Simplify 2.0 into 2.0 7.044 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 7.044 * [taylor]: Taking taylor expansion of (* x y) in y 7.044 * [taylor]: Taking taylor expansion of x in y 7.044 * [backup-simplify]: Simplify x into x 7.044 * [taylor]: Taking taylor expansion of y in y 7.044 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (* x 0) into 0 7.045 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 7.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 7.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.045 * [taylor]: Taking taylor expansion of y in x 7.045 * [backup-simplify]: Simplify y into y 7.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 7.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.045 * [taylor]: Taking taylor expansion of x in x 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [backup-simplify]: Simplify (* 1 1) into 1 7.046 * [backup-simplify]: Simplify (/ 1 1) into 1 7.046 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 7.046 * [taylor]: Taking taylor expansion of 2.0 in x 7.046 * [backup-simplify]: Simplify 2.0 into 2.0 7.046 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.046 * [taylor]: Taking taylor expansion of (* x y) in x 7.046 * [taylor]: Taking taylor expansion of x in x 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.046 * [taylor]: Taking taylor expansion of y in x 7.046 * [backup-simplify]: Simplify y into y 7.046 * [backup-simplify]: Simplify (* 0 y) into 0 7.047 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.047 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 7.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.047 * [taylor]: Taking taylor expansion of y in x 7.047 * [backup-simplify]: Simplify y into y 7.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 7.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.047 * [taylor]: Taking taylor expansion of x in x 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.048 * [backup-simplify]: Simplify (* 1 1) into 1 7.048 * [backup-simplify]: Simplify (/ 1 1) into 1 7.048 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 7.048 * [taylor]: Taking taylor expansion of 2.0 in x 7.048 * [backup-simplify]: Simplify 2.0 into 2.0 7.048 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 7.048 * [taylor]: Taking taylor expansion of (* x y) in x 7.048 * [taylor]: Taking taylor expansion of x in x 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [taylor]: Taking taylor expansion of y in x 7.049 * [backup-simplify]: Simplify y into y 7.049 * [backup-simplify]: Simplify (* 0 y) into 0 7.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.049 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.050 * [backup-simplify]: Simplify (+ 1 0) into 1 7.050 * [backup-simplify]: Simplify (+ 0 1) into 1 7.050 * [taylor]: Taking taylor expansion of 1 in y 7.050 * [backup-simplify]: Simplify 1 into 1 7.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.052 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 7.052 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 7.052 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 7.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 7.052 * [taylor]: Taking taylor expansion of 2.0 in y 7.052 * [backup-simplify]: Simplify 2.0 into 2.0 7.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.052 * [taylor]: Taking taylor expansion of y in y 7.052 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify 1 into 1 7.052 * [backup-simplify]: Simplify (/ 1 1) into 1 7.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.056 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 7.056 * [backup-simplify]: Simplify (+ 0 0) into 0 7.056 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.056 * [taylor]: Taking taylor expansion of y in y 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (* 1 1) into 1 7.057 * [backup-simplify]: Simplify (/ 1 1) into 1 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 7.057 * [backup-simplify]: Simplify 2.0 into 2.0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 7.057 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 7.058 * [backup-simplify]: Simplify (* y (+ (* x 2.0) y)) into (* (+ (* 2.0 x) y) y) 7.058 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 7.058 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 7.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 7.058 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 7.058 * [taylor]: Taking taylor expansion of 2.0 in x 7.058 * [backup-simplify]: Simplify 2.0 into 2.0 7.058 * [taylor]: Taking taylor expansion of x in x 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of y in x 7.058 * [backup-simplify]: Simplify y into y 7.058 * [taylor]: Taking taylor expansion of y in x 7.058 * [backup-simplify]: Simplify y into y 7.058 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 7.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 7.058 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 7.058 * [taylor]: Taking taylor expansion of 2.0 in y 7.058 * [backup-simplify]: Simplify 2.0 into 2.0 7.058 * [taylor]: Taking taylor expansion of x in y 7.058 * [backup-simplify]: Simplify x into x 7.058 * [taylor]: Taking taylor expansion of y in y 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of y in y 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 7.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 7.058 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 7.058 * [taylor]: Taking taylor expansion of 2.0 in y 7.058 * [backup-simplify]: Simplify 2.0 into 2.0 7.058 * [taylor]: Taking taylor expansion of x in y 7.058 * [backup-simplify]: Simplify x into x 7.058 * [taylor]: Taking taylor expansion of y in y 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of y in y 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 7.058 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 7.058 * [backup-simplify]: Simplify (* (* 2.0 x) 0) into 0 7.058 * [taylor]: Taking taylor expansion of 0 in x 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 7.059 * [backup-simplify]: Simplify (+ 0 1) into 1 7.059 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 1) (* 1 0)) into (* 2.0 x) 7.059 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 7.059 * [taylor]: Taking taylor expansion of 2.0 in x 7.059 * [backup-simplify]: Simplify 2.0 into 2.0 7.059 * [taylor]: Taking taylor expansion of x in x 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 7.061 * [backup-simplify]: Simplify (+ 0 0) into 0 7.061 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 1) (* 0 0))) into 1 7.061 * [taylor]: Taking taylor expansion of 1 in x 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify 1 into 1 7.062 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 7.062 * [backup-simplify]: Simplify 2.0 into 2.0 7.062 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.063 * [backup-simplify]: Simplify (+ 0 0) into 0 7.063 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.063 * [taylor]: Taking taylor expansion of 0 in x 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.065 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.066 * [taylor]: Taking taylor expansion of 0 in x 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2.0 (* x y))) 7.066 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y))) into (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) 7.066 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in (y x) around 0 7.066 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in x 7.066 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) (/ 1 y)) in x 7.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 7.067 * [taylor]: Taking taylor expansion of 2.0 in x 7.067 * [backup-simplify]: Simplify 2.0 into 2.0 7.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.067 * [taylor]: Taking taylor expansion of x in x 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (/ 1 1) into 1 7.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.067 * [taylor]: Taking taylor expansion of y in x 7.067 * [backup-simplify]: Simplify y into y 7.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.067 * [taylor]: Taking taylor expansion of y in x 7.067 * [backup-simplify]: Simplify y into y 7.067 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 7.068 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 7.068 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 7.068 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in y 7.068 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) (/ 1 y)) in y 7.068 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 7.068 * [taylor]: Taking taylor expansion of 2.0 in y 7.068 * [backup-simplify]: Simplify 2.0 into 2.0 7.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.068 * [taylor]: Taking taylor expansion of x in y 7.068 * [backup-simplify]: Simplify x into x 7.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.068 * [taylor]: Taking taylor expansion of y in y 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [backup-simplify]: Simplify (/ 1 1) into 1 7.068 * [taylor]: Taking taylor expansion of y in y 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [backup-simplify]: Simplify (+ 0 1) into 1 7.069 * [backup-simplify]: Simplify (/ 1 1) into 1 7.069 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in y 7.069 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) (/ 1 y)) in y 7.069 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 7.069 * [taylor]: Taking taylor expansion of 2.0 in y 7.069 * [backup-simplify]: Simplify 2.0 into 2.0 7.069 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.069 * [taylor]: Taking taylor expansion of x in y 7.069 * [backup-simplify]: Simplify x into x 7.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.069 * [taylor]: Taking taylor expansion of y in y 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (/ 1 1) into 1 7.069 * [taylor]: Taking taylor expansion of y in y 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (+ 0 1) into 1 7.070 * [backup-simplify]: Simplify (/ 1 1) into 1 7.070 * [taylor]: Taking taylor expansion of 1 in x 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.070 * [backup-simplify]: Simplify (+ (/ 2.0 x) 0) into (* 2.0 (/ 1 x)) 7.071 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 7.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 7.071 * [taylor]: Taking taylor expansion of 2.0 in x 7.071 * [backup-simplify]: Simplify 2.0 into 2.0 7.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.071 * [taylor]: Taking taylor expansion of x in x 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (/ 1 1) into 1 7.071 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 7.071 * [backup-simplify]: Simplify 2.0 into 2.0 7.072 * [backup-simplify]: Simplify 1 into 1 7.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 7.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ 0 0) into 0 7.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 7.074 * [taylor]: Taking taylor expansion of 0 in x 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.075 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.077 * [taylor]: Taking taylor expansion of 0 in x 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (+ 0 0) into 0 7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.082 * [taylor]: Taking taylor expansion of 0 in x 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2.0 (* x y))) 7.082 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) 7.082 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in (y x) around 0 7.082 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in x 7.082 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) (/ 1 y)) in x 7.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 7.082 * [taylor]: Taking taylor expansion of 2.0 in x 7.082 * [backup-simplify]: Simplify 2.0 into 2.0 7.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.082 * [taylor]: Taking taylor expansion of x in x 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 1 into 1 7.086 * [backup-simplify]: Simplify (/ 1 1) into 1 7.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.086 * [taylor]: Taking taylor expansion of y in x 7.086 * [backup-simplify]: Simplify y into y 7.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.086 * [taylor]: Taking taylor expansion of y in x 7.086 * [backup-simplify]: Simplify y into y 7.087 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 7.087 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 7.088 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 7.088 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in y 7.088 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) (/ 1 y)) in y 7.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 7.088 * [taylor]: Taking taylor expansion of 2.0 in y 7.088 * [backup-simplify]: Simplify 2.0 into 2.0 7.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.088 * [taylor]: Taking taylor expansion of x in y 7.088 * [backup-simplify]: Simplify x into x 7.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.088 * [taylor]: Taking taylor expansion of y in y 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [backup-simplify]: Simplify (/ 1 1) into 1 7.088 * [taylor]: Taking taylor expansion of y in y 7.088 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (+ 0 1) into 1 7.090 * [backup-simplify]: Simplify (/ 1 1) into 1 7.090 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 x)) (/ 1 y)) y) in y 7.090 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) (/ 1 y)) in y 7.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 7.090 * [taylor]: Taking taylor expansion of 2.0 in y 7.090 * [backup-simplify]: Simplify 2.0 into 2.0 7.090 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.090 * [taylor]: Taking taylor expansion of x in y 7.090 * [backup-simplify]: Simplify x into x 7.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.090 * [taylor]: Taking taylor expansion of y in y 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.091 * [backup-simplify]: Simplify (/ 1 1) into 1 7.091 * [taylor]: Taking taylor expansion of y in y 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [backup-simplify]: Simplify (+ 0 1) into 1 7.092 * [backup-simplify]: Simplify (/ 1 1) into 1 7.092 * [taylor]: Taking taylor expansion of 1 in x 7.092 * [backup-simplify]: Simplify 1 into 1 7.092 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.093 * [backup-simplify]: Simplify (+ (/ 2.0 x) 0) into (* 2.0 (/ 1 x)) 7.094 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 7.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 7.094 * [taylor]: Taking taylor expansion of 2.0 in x 7.094 * [backup-simplify]: Simplify 2.0 into 2.0 7.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.094 * [taylor]: Taking taylor expansion of x in x 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [backup-simplify]: Simplify (/ 1 1) into 1 7.095 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 7.095 * [backup-simplify]: Simplify 2.0 into 2.0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 7.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.097 * [backup-simplify]: Simplify (+ 0 0) into 0 7.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 7.099 * [taylor]: Taking taylor expansion of 0 in x 7.099 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.100 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.101 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (+ 0 0) into 0 7.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.105 * [taylor]: Taking taylor expansion of 0 in x 7.105 * [backup-simplify]: Simplify 0 into 0 7.105 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.107 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.110 * [backup-simplify]: Simplify (+ 0 0) into 0 7.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [taylor]: Taking taylor expansion of 0 in x 7.112 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2.0 (* x y))) 7.113 * * * [progress]: simplifying candidates 7.114 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (* (* (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* y (+ (* x 2.0) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (* x 2.0))) (+ (* x x) (* (* x 2.0) y)) (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 7.116 * * [simplify]: Extracting # 0 : cost 35 inf + 0 7.116 * * [simplify]: Extracting # 1 : cost 61 inf + 0 7.116 * * [simplify]: Extracting # 2 : cost 68 inf + 165 7.116 * * [simplify]: Extracting # 3 : cost 56 inf + 953 7.117 * * [simplify]: Extracting # 4 : cost 36 inf + 4536 7.119 * * [simplify]: Extracting # 5 : cost 9 inf + 11011 7.121 * * [simplify]: Extracting # 6 : cost 0 inf + 13920 7.123 * * [simplify]: iteration 0 : 73 enodes (cost 11185 ) 7.159 * * [simplify]: Extracting # 0 : cost 0 inf + 13920 7.163 * * [simplify]: Extracting # 1 : cost 69 inf + 12904 7.169 * * [simplify]: Extracting # 2 : cost 7 inf + 21307 7.175 * * [simplify]: Extracting # 3 : cost 6 inf + 21228 7.181 * * [simplify]: Extracting # 4 : cost 0 inf + 22743 7.188 * * [simplify]: iteration 1 : 238 enodes (cost 8906 ) 7.278 * * [simplify]: Extracting # 0 : cost 0 inf + 22743 7.284 * * [simplify]: Extracting # 1 : cost 311 inf + 21637 7.297 * * [simplify]: Extracting # 2 : cost 11 inf + 72184 7.320 * * [simplify]: Extracting # 3 : cost 0 inf + 74492 7.347 * * [simplify]: iteration 2 : 1015 enodes (cost 8826 ) 8.240 * * [simplify]: Extracting # 0 : cost 0 inf + 74492 8.276 * * [simplify]: Extracting # 1 : cost 2036 inf + 74252 8.437 * * [simplify]: Extracting # 2 : cost 67 inf + 481017 8.611 * * [simplify]: Extracting # 3 : cost 18 inf + 486164 8.777 * * [simplify]: Extracting # 4 : cost 0 inf + 491316 8.964 * * [simplify]: Extracting # 5 : cost 0 inf + 491156 9.140 * * [simplify]: iteration complete: 5004 enodes (cost 8826 ) 9.140 * [simplify]: Simplified to: (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (* (* (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (* (* x x) (* (* x x) (* x x)))) (+ (* (* y (+ (* x 2.0) y)) (- (* y (+ (* x 2.0) y)) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (* x 2.0))) (+ (* x x) (* y (* x 2.0))) (* y (+ (* x 2.0) y)) (log (* y (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* y (* x 2.0)) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) y (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* (+ (* (* y y) y) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) y) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (+ (* y y) (* x x)) (* y (* x 2.0))) (+ (+ (* y y) (* x x)) (* y (* x 2.0))) (+ (+ (* y y) (* x x)) (* y (* x 2.0))) (+ (* y y) (* y (* x 2.0))) (+ (* y y) (* y (* x 2.0))) (+ (* y y) (* y (* x 2.0))) 9.142 * * * [progress]: adding candidates to table 9.336 * [progress]: [Phase 3 of 3] Extracting. 9.336 * * [regime]: Finding splitpoints for: (# #) 9.336 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.336 * * * * [regimes]: Trying to branch on y from (# #) 9.369 * * * * [regimes]: Trying to branch on x from (# #) 9.404 * * * [regime]: Found split indices: #