31.184 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.037 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.037 * * [simplify]: Extracting # 1 : cost 2 inf + 0 0.037 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.037 * * [simplify]: Extracting # 3 : cost 2 inf + 2 0.037 * * [simplify]: Extracting # 4 : cost 0 inf + 126 0.037 * * [simplify]: iteration 0 : 4 enodes (cost 82 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 inf + 126 0.039 * * [simplify]: Extracting # 1 : cost 4 inf + 126 0.039 * * [simplify]: Extracting # 2 : cost 0 inf + 454 0.039 * * [simplify]: iteration 1 : 11 enodes (cost 82 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 inf + 454 0.043 * * [simplify]: Extracting # 1 : cost 4 inf + 454 0.043 * * [simplify]: Extracting # 2 : cost 0 inf + 620 0.043 * * [simplify]: iteration 2 : 25 enodes (cost 82 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 inf + 620 0.052 * * [simplify]: Extracting # 1 : cost 8 inf + 620 0.052 * * [simplify]: Extracting # 2 : cost 0 inf + 1916 0.053 * * [simplify]: iteration 3 : 53 enodes (cost 82 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 inf + 1916 0.066 * * [simplify]: Extracting # 1 : cost 7 inf + 1916 0.067 * * [simplify]: Extracting # 2 : cost 0 inf + 2410 0.069 * * [simplify]: iteration 4 : 72 enodes (cost 82 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 inf + 2410 0.085 * * [simplify]: Extracting # 1 : cost 3 inf + 2410 0.087 * * [simplify]: Extracting # 2 : cost 0 inf + 2493 0.088 * * [simplify]: iteration 5 : 88 enodes (cost 82 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 inf + 2493 0.099 * * [simplify]: iteration 6 : 97 enodes (cost 82 ) 0.107 * * [simplify]: Extracting # 0 : cost 0 inf + 2493 0.108 * * [simplify]: iteration 7 : 103 enodes (cost 82 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 inf + 2493 0.118 * * [simplify]: iteration complete: 103 enodes (cost 82 ) 0.118 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.119 * * [progress]: iteration 1 / 4 0.119 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.160 * * * [progress]: generating series expansions 0.160 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.160 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.160 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.160 * [taylor]: Taking taylor expansion of (+ x y) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ x 0) into x 0.160 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.160 * [taylor]: Taking taylor expansion of (+ x y) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.160 * [backup-simplify]: Simplify (+ 0 y) into y 0.160 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.160 * [taylor]: Taking taylor expansion of (+ x y) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (+ 0 y) into y 0.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.161 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.161 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.161 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.161 * [taylor]: Taking taylor expansion of 2 in y 0.161 * [backup-simplify]: Simplify 2 into 2 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 2 0) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.163 * [backup-simplify]: Simplify 2 into 2 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.164 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.164 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.164 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.164 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of 1 in y 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.167 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.167 * [taylor]: Taking taylor expansion of 2 in y 0.167 * [backup-simplify]: Simplify 2 into 2 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 2 1) into 2 0.170 * [backup-simplify]: Simplify 2 into 2 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.170 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.170 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [backup-simplify]: Simplify x into x 0.170 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.173 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.173 * [taylor]: Taking taylor expansion of 2 in y 0.173 * [backup-simplify]: Simplify 2 into 2 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 2 1) into 2 0.176 * [backup-simplify]: Simplify 2 into 2 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.177 * * * [progress]: simplifying candidates 0.177 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.178 * * [simplify]: Extracting # 0 : cost 37 inf + 0 0.178 * * [simplify]: Extracting # 1 : cost 53 inf + 0 0.178 * * [simplify]: Extracting # 2 : cost 33 inf + 2370 0.178 * * [simplify]: Extracting # 3 : cost 22 inf + 4213 0.179 * * [simplify]: Extracting # 4 : cost 18 inf + 4540 0.179 * * [simplify]: Extracting # 5 : cost 9 inf + 7202 0.180 * * [simplify]: Extracting # 6 : cost 3 inf + 9688 0.181 * * [simplify]: Extracting # 7 : cost 0 inf + 10795 0.181 * * [simplify]: iteration 0 : 62 enodes (cost 10242 ) 0.198 * * [simplify]: Extracting # 0 : cost 0 inf + 10795 0.199 * * [simplify]: Extracting # 1 : cost 72 inf + 10001 0.201 * * [simplify]: Extracting # 2 : cost 3 inf + 22246 0.204 * * [simplify]: Extracting # 3 : cost 2 inf + 18262 0.206 * * [simplify]: Extracting # 4 : cost 0 inf + 18646 0.211 * * [simplify]: iteration 1 : 224 enodes (cost 6874 ) 0.292 * * [simplify]: Extracting # 0 : cost 0 inf + 18646 0.297 * * [simplify]: Extracting # 1 : cost 196 inf + 18024 0.307 * * [simplify]: Extracting # 2 : cost 7 inf + 51106 0.318 * * [simplify]: Extracting # 3 : cost 2 inf + 51697 0.330 * * [simplify]: Extracting # 4 : cost 0 inf + 52423 0.342 * * [simplify]: iteration 2 : 793 enodes (cost 6794 ) 0.814 * * [simplify]: Extracting # 0 : cost 0 inf + 52423 0.850 * * [simplify]: Extracting # 1 : cost 1331 inf + 51568 0.912 * * [simplify]: Extracting # 2 : cost 12 inf + 287091 1.009 * * [simplify]: Extracting # 3 : cost 4 inf + 288275 1.109 * * [simplify]: Extracting # 4 : cost 0 inf + 289385 1.219 * * [simplify]: iteration 3 : 3938 enodes (cost 6751 ) 3.170 * * [simplify]: Extracting # 0 : cost 0 inf + 289385 3.303 * * [simplify]: Extracting # 1 : cost 453 inf + 283536 3.475 * * [simplify]: Extracting # 2 : cost 56 inf + 338227 3.604 * * [simplify]: Extracting # 3 : cost 15 inf + 343548 3.745 * * [simplify]: Extracting # 4 : cost 0 inf + 348213 3.921 * * [simplify]: iteration complete: 5000 enodes (cost 6751 ) 3.922 * [simplify]: Simplified to: 2 (* (+ x y) (+ x y)) 2 (log (* (+ x y) (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (fabs (+ y x)) (fabs (+ y x)) (* (+ (* y (* y y)) (* x (* x x))) (+ (* y (* y y)) (* x (* x x)))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (* y (* y y)) (* x (* x x)))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (+ (* y (* y y)) (* x (* x x)))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (cbrt (+ x y)) (+ x y)) (* (cbrt (+ y x)) (cbrt (+ y x))) (+ y x) (+ y x) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ y x) (+ y x) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (sqrt (+ x y)) (+ x y)) (+ y x) (+ y x) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ y x) (+ (* y (* y y)) (* x (* x x)))) (* (* (+ x y) (+ x y)) (- x y)) (* (+ y x) (+ (* y (* y y)) (* x (* x x)))) (* (* (+ x y) (+ x y)) (- x y)) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) 3.924 * * * [progress]: adding candidates to table 4.071 * * [progress]: iteration 2 / 4 4.072 * * * [progress]: picking best candidate 4.077 * * * * [pick]: Picked # 4.077 * * * [progress]: localizing error 4.091 * * * [progress]: generating rewritten candidates 4.091 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 4.104 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.130 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 4.158 * * * [progress]: generating series expansions 4.158 * * * * [progress]: [ 1 / 3 ] generating series at (2) 4.159 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.159 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 4.159 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 4.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.159 * [taylor]: Taking taylor expansion of y in y 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 4.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.159 * [taylor]: Taking taylor expansion of x in y 4.159 * [backup-simplify]: Simplify x into x 4.159 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.159 * [taylor]: Taking taylor expansion of 2 in y 4.159 * [backup-simplify]: Simplify 2 into 2 4.159 * [taylor]: Taking taylor expansion of (* x y) in y 4.159 * [taylor]: Taking taylor expansion of x in y 4.159 * [backup-simplify]: Simplify x into x 4.159 * [taylor]: Taking taylor expansion of y in y 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 4.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.159 * [taylor]: Taking taylor expansion of y in x 4.159 * [backup-simplify]: Simplify y into y 4.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 4.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.159 * [taylor]: Taking taylor expansion of 2 in x 4.159 * [backup-simplify]: Simplify 2 into 2 4.159 * [taylor]: Taking taylor expansion of (* x y) in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.159 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [taylor]: Taking taylor expansion of y in x 4.160 * [backup-simplify]: Simplify y into y 4.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 4.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.160 * [taylor]: Taking taylor expansion of y in x 4.160 * [backup-simplify]: Simplify y into y 4.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 4.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.160 * [taylor]: Taking taylor expansion of x in x 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.160 * [taylor]: Taking taylor expansion of 2 in x 4.160 * [backup-simplify]: Simplify 2 into 2 4.160 * [taylor]: Taking taylor expansion of (* x y) in x 4.160 * [taylor]: Taking taylor expansion of x in x 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [taylor]: Taking taylor expansion of y in x 4.160 * [backup-simplify]: Simplify y into y 4.160 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.160 * [backup-simplify]: Simplify (* 0 y) into 0 4.161 * [backup-simplify]: Simplify (* 2 0) into 0 4.161 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.162 * [taylor]: Taking taylor expansion of y in y 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.163 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 4.163 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.163 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.163 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.163 * [taylor]: Taking taylor expansion of 2 in y 4.163 * [backup-simplify]: Simplify 2 into 2 4.163 * [taylor]: Taking taylor expansion of y in y 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.163 * [backup-simplify]: Simplify (* 2 0) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.164 * [backup-simplify]: Simplify (* 1 1) into 1 4.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 4.166 * [backup-simplify]: Simplify (+ 1 0) into 1 4.166 * [backup-simplify]: Simplify (+ 0 1) into 1 4.167 * [taylor]: Taking taylor expansion of 1 in y 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.167 * [backup-simplify]: Simplify 2 into 2 4.168 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.168 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 4.169 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 4.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.169 * [taylor]: Taking taylor expansion of y in y 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (* 1 1) into 1 4.169 * [backup-simplify]: Simplify (/ 1 1) into 1 4.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 4.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.169 * [taylor]: Taking taylor expansion of x in y 4.170 * [backup-simplify]: Simplify x into x 4.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.170 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.170 * [taylor]: Taking taylor expansion of 2 in y 4.170 * [backup-simplify]: Simplify 2 into 2 4.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.170 * [taylor]: Taking taylor expansion of (* x y) in y 4.170 * [taylor]: Taking taylor expansion of x in y 4.170 * [backup-simplify]: Simplify x into x 4.170 * [taylor]: Taking taylor expansion of y in y 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [backup-simplify]: Simplify (* x 0) into 0 4.170 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.170 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.171 * [taylor]: Taking taylor expansion of y in x 4.171 * [backup-simplify]: Simplify y into y 4.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (* 1 1) into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.172 * [taylor]: Taking taylor expansion of 2 in x 4.172 * [backup-simplify]: Simplify 2 into 2 4.172 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.172 * [taylor]: Taking taylor expansion of (* x y) in x 4.172 * [taylor]: Taking taylor expansion of x in x 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [taylor]: Taking taylor expansion of y in x 4.172 * [backup-simplify]: Simplify y into y 4.172 * [backup-simplify]: Simplify (* 0 y) into 0 4.172 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.173 * [taylor]: Taking taylor expansion of y in x 4.173 * [backup-simplify]: Simplify y into y 4.173 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.173 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.173 * [taylor]: Taking taylor expansion of x in x 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [backup-simplify]: Simplify (* 1 1) into 1 4.174 * [backup-simplify]: Simplify (/ 1 1) into 1 4.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.174 * [taylor]: Taking taylor expansion of 2 in x 4.174 * [backup-simplify]: Simplify 2 into 2 4.174 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.174 * [taylor]: Taking taylor expansion of (* x y) in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [taylor]: Taking taylor expansion of y in x 4.174 * [backup-simplify]: Simplify y into y 4.174 * [backup-simplify]: Simplify (* 0 y) into 0 4.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.174 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.175 * [backup-simplify]: Simplify (+ 1 0) into 1 4.175 * [backup-simplify]: Simplify (+ 0 1) into 1 4.175 * [taylor]: Taking taylor expansion of 1 in y 4.175 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.177 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.177 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.177 * [taylor]: Taking taylor expansion of 2 in y 4.177 * [backup-simplify]: Simplify 2 into 2 4.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.177 * [taylor]: Taking taylor expansion of y in y 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.184 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.184 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.185 * [taylor]: Taking taylor expansion of y in y 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (* 1 1) into 1 4.185 * [backup-simplify]: Simplify (/ 1 1) into 1 4.185 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (* 2 1) into 2 4.186 * [backup-simplify]: Simplify 2 into 2 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.187 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 4.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 4.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.187 * [taylor]: Taking taylor expansion of y in y 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (* 1 1) into 1 4.188 * [backup-simplify]: Simplify (/ 1 1) into 1 4.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 4.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.188 * [taylor]: Taking taylor expansion of x in y 4.188 * [backup-simplify]: Simplify x into x 4.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.188 * [taylor]: Taking taylor expansion of 2 in y 4.188 * [backup-simplify]: Simplify 2 into 2 4.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.188 * [taylor]: Taking taylor expansion of (* x y) in y 4.188 * [taylor]: Taking taylor expansion of x in y 4.188 * [backup-simplify]: Simplify x into x 4.188 * [taylor]: Taking taylor expansion of y in y 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.188 * [backup-simplify]: Simplify (* x 0) into 0 4.189 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.189 * [taylor]: Taking taylor expansion of y in x 4.189 * [backup-simplify]: Simplify y into y 4.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.189 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.189 * [taylor]: Taking taylor expansion of x in x 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.190 * [backup-simplify]: Simplify (* 1 1) into 1 4.190 * [backup-simplify]: Simplify (/ 1 1) into 1 4.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.190 * [taylor]: Taking taylor expansion of 2 in x 4.190 * [backup-simplify]: Simplify 2 into 2 4.190 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.190 * [taylor]: Taking taylor expansion of (* x y) in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [taylor]: Taking taylor expansion of y in x 4.190 * [backup-simplify]: Simplify y into y 4.190 * [backup-simplify]: Simplify (* 0 y) into 0 4.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.191 * [taylor]: Taking taylor expansion of y in x 4.191 * [backup-simplify]: Simplify y into y 4.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.191 * [taylor]: Taking taylor expansion of x in x 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (* 1 1) into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.192 * [taylor]: Taking taylor expansion of 2 in x 4.192 * [backup-simplify]: Simplify 2 into 2 4.192 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.192 * [taylor]: Taking taylor expansion of (* x y) in x 4.192 * [taylor]: Taking taylor expansion of x in x 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [taylor]: Taking taylor expansion of y in x 4.192 * [backup-simplify]: Simplify y into y 4.192 * [backup-simplify]: Simplify (* 0 y) into 0 4.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.193 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.193 * [backup-simplify]: Simplify (+ 1 0) into 1 4.194 * [backup-simplify]: Simplify (+ 0 1) into 1 4.194 * [taylor]: Taking taylor expansion of 1 in y 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.195 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.195 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.195 * [taylor]: Taking taylor expansion of 2 in y 4.195 * [backup-simplify]: Simplify 2 into 2 4.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.195 * [taylor]: Taking taylor expansion of y in y 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (/ 1 1) into 1 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.199 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.199 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.199 * [taylor]: Taking taylor expansion of y in y 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (* 1 1) into 1 4.200 * [backup-simplify]: Simplify (/ 1 1) into 1 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (* 2 1) into 2 4.200 * [backup-simplify]: Simplify 2 into 2 4.200 * [backup-simplify]: Simplify 1 into 1 4.201 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.201 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.201 * [backup-simplify]: Simplify (* (+ x y) y) into (* (+ x y) y) 4.201 * [approximate]: Taking taylor expansion of (* (+ x y) y) in (x y) around 0 4.201 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 4.201 * [taylor]: Taking taylor expansion of (+ x y) in y 4.201 * [taylor]: Taking taylor expansion of x in y 4.201 * [backup-simplify]: Simplify x into x 4.201 * [taylor]: Taking taylor expansion of y in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of y in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 4.202 * [taylor]: Taking taylor expansion of (+ x y) in x 4.202 * [taylor]: Taking taylor expansion of x in x 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of y in x 4.202 * [backup-simplify]: Simplify y into y 4.202 * [taylor]: Taking taylor expansion of y in x 4.202 * [backup-simplify]: Simplify y into y 4.202 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 4.202 * [taylor]: Taking taylor expansion of (+ x y) in x 4.202 * [taylor]: Taking taylor expansion of x in x 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of y in x 4.202 * [backup-simplify]: Simplify y into y 4.202 * [taylor]: Taking taylor expansion of y in x 4.202 * [backup-simplify]: Simplify y into y 4.202 * [backup-simplify]: Simplify (+ 0 y) into y 4.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.202 * [taylor]: Taking taylor expansion of y in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (+ 1 0) into 1 4.203 * [backup-simplify]: Simplify (+ (* y 0) (* 1 y)) into y 4.203 * [taylor]: Taking taylor expansion of y in y 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (+ 0 0) into 0 4.204 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (* 0 y))) into 0 4.204 * [taylor]: Taking taylor expansion of 0 in y 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (+ 0 0) into 0 4.205 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.205 * [taylor]: Taking taylor expansion of 0 in y 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ 0 0) into 0 4.208 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.208 * [taylor]: Taking taylor expansion of 0 in y 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 4.208 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 x) (/ 1 y)) y) 4.208 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (x y) around 0 4.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.208 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.208 * [taylor]: Taking taylor expansion of x in y 4.208 * [backup-simplify]: Simplify x into x 4.208 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.208 * [taylor]: Taking taylor expansion of y in y 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ 1 1) into 1 4.209 * [taylor]: Taking taylor expansion of y in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (+ 0 1) into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.210 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.210 * [taylor]: Taking taylor expansion of y in x 4.210 * [backup-simplify]: Simplify y into y 4.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.210 * [taylor]: Taking taylor expansion of y in x 4.210 * [backup-simplify]: Simplify y into y 4.211 * [backup-simplify]: Simplify (+ 1 0) into 1 4.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.211 * [taylor]: Taking taylor expansion of x in x 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.211 * [taylor]: Taking taylor expansion of y in x 4.211 * [backup-simplify]: Simplify y into y 4.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.211 * [taylor]: Taking taylor expansion of y in x 4.211 * [backup-simplify]: Simplify y into y 4.212 * [backup-simplify]: Simplify (+ 1 0) into 1 4.212 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.212 * [taylor]: Taking taylor expansion of y in y 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.213 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.213 * [taylor]: Taking taylor expansion of y in y 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (* 1 1) into 1 4.214 * [backup-simplify]: Simplify (/ 1 1) into 1 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.216 * [backup-simplify]: Simplify (+ 0 0) into 0 4.216 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 4.216 * [taylor]: Taking taylor expansion of 0 in y 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.220 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.220 * [taylor]: Taking taylor expansion of 0 in y 4.220 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.225 * [taylor]: Taking taylor expansion of 0 in y 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 4.227 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 x) (/ 1 y)) y) 4.227 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (x y) around 0 4.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.227 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.228 * [taylor]: Taking taylor expansion of x in y 4.228 * [backup-simplify]: Simplify x into x 4.228 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.228 * [taylor]: Taking taylor expansion of y in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (/ 1 1) into 1 4.228 * [taylor]: Taking taylor expansion of y in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (+ 0 1) into 1 4.229 * [backup-simplify]: Simplify (/ 1 1) into 1 4.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.229 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.229 * [taylor]: Taking taylor expansion of x in x 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.230 * [taylor]: Taking taylor expansion of y in x 4.230 * [backup-simplify]: Simplify y into y 4.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.230 * [taylor]: Taking taylor expansion of y in x 4.230 * [backup-simplify]: Simplify y into y 4.231 * [backup-simplify]: Simplify (+ 1 0) into 1 4.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.231 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.231 * [taylor]: Taking taylor expansion of y in x 4.231 * [backup-simplify]: Simplify y into y 4.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.231 * [taylor]: Taking taylor expansion of y in x 4.231 * [backup-simplify]: Simplify y into y 4.232 * [backup-simplify]: Simplify (+ 1 0) into 1 4.232 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.232 * [taylor]: Taking taylor expansion of y in y 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (/ 1 1) into 1 4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.233 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.233 * [taylor]: Taking taylor expansion of y in y 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify (* 1 1) into 1 4.234 * [backup-simplify]: Simplify (/ 1 1) into 1 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.236 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 4.236 * [taylor]: Taking taylor expansion of 0 in y 4.236 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.240 * [backup-simplify]: Simplify (+ 0 0) into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.240 * [taylor]: Taking taylor expansion of 0 in y 4.240 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.244 * [backup-simplify]: Simplify (+ 0 0) into 0 4.245 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.245 * [taylor]: Taking taylor expansion of 0 in y 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 4.247 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 4.248 * [backup-simplify]: Simplify (* (+ x y) x) into (* (+ x y) x) 4.248 * [approximate]: Taking taylor expansion of (* (+ x y) x) in (x y) around 0 4.248 * [taylor]: Taking taylor expansion of (* (+ x y) x) in y 4.248 * [taylor]: Taking taylor expansion of (+ x y) in y 4.248 * [taylor]: Taking taylor expansion of x in y 4.248 * [backup-simplify]: Simplify x into x 4.248 * [taylor]: Taking taylor expansion of y in y 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [taylor]: Taking taylor expansion of x in y 4.248 * [backup-simplify]: Simplify x into x 4.248 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 4.248 * [taylor]: Taking taylor expansion of (+ x y) in x 4.248 * [taylor]: Taking taylor expansion of x in x 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [taylor]: Taking taylor expansion of y in x 4.248 * [backup-simplify]: Simplify y into y 4.248 * [taylor]: Taking taylor expansion of x in x 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 4.248 * [taylor]: Taking taylor expansion of (+ x y) in x 4.248 * [taylor]: Taking taylor expansion of x in x 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [taylor]: Taking taylor expansion of y in x 4.248 * [backup-simplify]: Simplify y into y 4.248 * [taylor]: Taking taylor expansion of x in x 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (+ 0 y) into y 4.248 * [backup-simplify]: Simplify (* y 0) into 0 4.248 * [taylor]: Taking taylor expansion of 0 in y 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (+ 1 0) into 1 4.249 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y 4.249 * [taylor]: Taking taylor expansion of y in y 4.249 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify (+ 0 0) into 0 4.251 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1 4.251 * [taylor]: Taking taylor expansion of 1 in y 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.252 * [taylor]: Taking taylor expansion of 0 in y 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.254 * [taylor]: Taking taylor expansion of 0 in y 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 4.254 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 x) (/ 1 y)) x) 4.254 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 4.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 4.254 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.254 * [taylor]: Taking taylor expansion of x in y 4.254 * [backup-simplify]: Simplify x into x 4.255 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.255 * [taylor]: Taking taylor expansion of y in y 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (/ 1 1) into 1 4.255 * [taylor]: Taking taylor expansion of x in y 4.255 * [backup-simplify]: Simplify x into x 4.255 * [backup-simplify]: Simplify (+ 0 1) into 1 4.256 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.256 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.256 * [taylor]: Taking taylor expansion of x in x 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [backup-simplify]: Simplify (/ 1 1) into 1 4.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.256 * [taylor]: Taking taylor expansion of y in x 4.256 * [backup-simplify]: Simplify y into y 4.256 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.256 * [taylor]: Taking taylor expansion of x in x 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (+ 1 0) into 1 4.257 * [backup-simplify]: Simplify (/ 1 1) into 1 4.257 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.257 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.257 * [taylor]: Taking taylor expansion of x in x 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.258 * [backup-simplify]: Simplify (/ 1 1) into 1 4.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.258 * [taylor]: Taking taylor expansion of y in x 4.258 * [backup-simplify]: Simplify y into y 4.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.258 * [taylor]: Taking taylor expansion of x in x 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [backup-simplify]: Simplify (+ 1 0) into 1 4.259 * [backup-simplify]: Simplify (/ 1 1) into 1 4.259 * [taylor]: Taking taylor expansion of 1 in y 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.260 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 4.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.260 * [taylor]: Taking taylor expansion of y in y 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.262 * [backup-simplify]: Simplify (+ 0 0) into 0 4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 4.263 * [taylor]: Taking taylor expansion of 0 in y 4.263 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.265 * [backup-simplify]: Simplify (+ 0 0) into 0 4.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.267 * [taylor]: Taking taylor expansion of 0 in y 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.270 * [backup-simplify]: Simplify (+ 0 0) into 0 4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.272 * [taylor]: Taking taylor expansion of 0 in y 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 4.273 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 x) (/ 1 y)) x) 4.273 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 4.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 4.273 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.273 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.273 * [taylor]: Taking taylor expansion of x in y 4.273 * [backup-simplify]: Simplify x into x 4.273 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.273 * [taylor]: Taking taylor expansion of y in y 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ 1 1) into 1 4.273 * [taylor]: Taking taylor expansion of x in y 4.273 * [backup-simplify]: Simplify x into x 4.274 * [backup-simplify]: Simplify (+ 0 1) into 1 4.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.274 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.274 * [taylor]: Taking taylor expansion of x in x 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [backup-simplify]: Simplify (/ 1 1) into 1 4.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.274 * [taylor]: Taking taylor expansion of y in x 4.274 * [backup-simplify]: Simplify y into y 4.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.275 * [taylor]: Taking taylor expansion of x in x 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (+ 1 0) into 1 4.275 * [backup-simplify]: Simplify (/ 1 1) into 1 4.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.275 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.276 * [taylor]: Taking taylor expansion of x in x 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (/ 1 1) into 1 4.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.276 * [taylor]: Taking taylor expansion of y in x 4.276 * [backup-simplify]: Simplify y into y 4.276 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.276 * [taylor]: Taking taylor expansion of x in x 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (+ 1 0) into 1 4.277 * [backup-simplify]: Simplify (/ 1 1) into 1 4.277 * [taylor]: Taking taylor expansion of 1 in y 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.278 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.278 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 4.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.278 * [taylor]: Taking taylor expansion of y in y 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.279 * [backup-simplify]: Simplify (/ 1 1) into 1 4.279 * [backup-simplify]: Simplify 1 into 1 4.279 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.281 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 4.282 * [taylor]: Taking taylor expansion of 0 in y 4.282 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.285 * [taylor]: Taking taylor expansion of 0 in y 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.287 * [backup-simplify]: Simplify (+ 0 0) into 0 4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.290 * [taylor]: Taking taylor expansion of 0 in y 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 4.290 * * * [progress]: simplifying candidates 4.291 * [simplify]: Simplifying: (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 4.293 * * [simplify]: Extracting # 0 : cost 56 inf + 0 4.293 * * [simplify]: Extracting # 1 : cost 94 inf + 0 4.294 * * [simplify]: Extracting # 2 : cost 88 inf + 1831 4.295 * * [simplify]: Extracting # 3 : cost 44 inf + 8352 4.296 * * [simplify]: Extracting # 4 : cost 21 inf + 13421 4.299 * * [simplify]: Extracting # 5 : cost 5 inf + 20241 4.301 * * [simplify]: Extracting # 6 : cost 0 inf + 23234 4.304 * * [simplify]: iteration 0 : 106 enodes (cost 17721 ) 4.343 * * [simplify]: Extracting # 0 : cost 0 inf + 23234 4.346 * * [simplify]: Extracting # 1 : cost 75 inf + 22171 4.350 * * [simplify]: Extracting # 2 : cost 5 inf + 34557 4.354 * * [simplify]: Extracting # 3 : cost 3 inf + 31790 4.359 * * [simplify]: Extracting # 4 : cost 0 inf + 30667 4.363 * * [simplify]: Extracting # 5 : cost 0 inf + 30326 4.368 * * [simplify]: iteration 1 : 307 enodes (cost 12697 ) 4.502 * * [simplify]: Extracting # 0 : cost 0 inf + 30326 4.510 * * [simplify]: Extracting # 1 : cost 256 inf + 29173 4.530 * * [simplify]: Extracting # 2 : cost 19 inf + 74645 4.548 * * [simplify]: Extracting # 3 : cost 5 inf + 77436 4.565 * * [simplify]: Extracting # 4 : cost 0 inf + 78809 4.583 * * [simplify]: iteration 2 : 1107 enodes (cost 12377 ) 5.119 * * [simplify]: Extracting # 0 : cost 0 inf + 78809 5.160 * * [simplify]: Extracting # 1 : cost 2020 inf + 77209 5.287 * * [simplify]: Extracting # 2 : cost 42 inf + 449657 5.442 * * [simplify]: Extracting # 3 : cost 14 inf + 451428 5.611 * * [simplify]: Extracting # 4 : cost 0 inf + 455424 5.777 * * [simplify]: iteration complete: 5000 enodes (cost 12217 ) 5.778 * [simplify]: Simplified to: (exp (* (+ y x) (+ y x))) (log (* (+ y x) (+ y x))) (exp (* (+ y x) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x))) (* (+ y x) (+ y x))) (fabs (+ y x)) (fabs (+ y x)) (* (+ (* x x) (* y (- y x))) (* (+ (* (* x x) x) (* (* y y) y)) (+ y x))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (+ (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y)) (* (- x y) (* x (+ (* (* x x) x) (* (* y y) y))))) (* (+ (* x x) (* y (- y x))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (* (- x y) (+ (* (* x x) x) (* (* y y) y))) y)) (* (+ (* x x) (* y (- y x))) (- x y)) (* (- x y) (* (- x y) (* (+ y x) (+ y x)))) (* (- x y) (- x y)) (+ (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y))) (+ (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (- (* (+ x y) y) (* (+ x y) x)))) (* (* (+ y x) (+ y x)) (* (+ y x) (- x y))) (- (* x x) (* y y)) (+ y x) (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ y x) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (* (* x x) x) (* (* y y) y)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (+ y x) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* x (+ (* (* x x) x) (* (* y y) y))) (* (- (* x x) (* y y)) x) (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (* x y) (* y y)) (+ (* x y) (* y y)) (+ (* x y) (* y y)) (+ (* x x) (* x y)) (+ (* x x) (* x y)) (+ (* x x) (* x y)) 5.782 * * * [progress]: adding candidates to table 6.096 * * [progress]: iteration 3 / 4 6.096 * * * [progress]: picking best candidate 6.102 * * * * [pick]: Picked # 6.102 * * * [progress]: localizing error 6.126 * * * [progress]: generating rewritten candidates 6.127 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 6.143 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 6.183 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 6.195 * * * [progress]: generating series expansions 6.195 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 6.196 * [backup-simplify]: Simplify (* 2 (* x y)) into (* 2 (* x y)) 6.196 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 6.196 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.196 * [taylor]: Taking taylor expansion of 2 in y 6.196 * [backup-simplify]: Simplify 2 into 2 6.196 * [taylor]: Taking taylor expansion of (* x y) in y 6.196 * [taylor]: Taking taylor expansion of x in y 6.196 * [backup-simplify]: Simplify x into x 6.196 * [taylor]: Taking taylor expansion of y in y 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.196 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.196 * [taylor]: Taking taylor expansion of 2 in x 6.196 * [backup-simplify]: Simplify 2 into 2 6.196 * [taylor]: Taking taylor expansion of (* x y) in x 6.196 * [taylor]: Taking taylor expansion of x in x 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.196 * [taylor]: Taking taylor expansion of y in x 6.196 * [backup-simplify]: Simplify y into y 6.196 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.196 * [taylor]: Taking taylor expansion of 2 in x 6.196 * [backup-simplify]: Simplify 2 into 2 6.196 * [taylor]: Taking taylor expansion of (* x y) in x 6.196 * [taylor]: Taking taylor expansion of x in x 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.196 * [taylor]: Taking taylor expansion of y in x 6.196 * [backup-simplify]: Simplify y into y 6.196 * [backup-simplify]: Simplify (* 0 y) into 0 6.197 * [backup-simplify]: Simplify (* 2 0) into 0 6.197 * [taylor]: Taking taylor expansion of 0 in y 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.198 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 6.198 * [taylor]: Taking taylor expansion of (* 2 y) in y 6.198 * [taylor]: Taking taylor expansion of 2 in y 6.198 * [backup-simplify]: Simplify 2 into 2 6.198 * [taylor]: Taking taylor expansion of y in y 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify (* 2 0) into 0 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 6.201 * [taylor]: Taking taylor expansion of 0 in y 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.201 * [backup-simplify]: Simplify 2 into 2 6.202 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 6.204 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 6.204 * [taylor]: Taking taylor expansion of 0 in y 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 6.208 * [taylor]: Taking taylor expansion of 0 in y 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 6.208 * [backup-simplify]: Simplify (* 2 (* (/ 1 x) (/ 1 y))) into (/ 2 (* x y)) 6.208 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 6.208 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 6.208 * [taylor]: Taking taylor expansion of 2 in y 6.208 * [backup-simplify]: Simplify 2 into 2 6.208 * [taylor]: Taking taylor expansion of (* x y) in y 6.208 * [taylor]: Taking taylor expansion of x in y 6.208 * [backup-simplify]: Simplify x into x 6.208 * [taylor]: Taking taylor expansion of y in y 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify 1 into 1 6.208 * [backup-simplify]: Simplify (* x 0) into 0 6.209 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.209 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 6.209 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 6.209 * [taylor]: Taking taylor expansion of 2 in x 6.209 * [backup-simplify]: Simplify 2 into 2 6.209 * [taylor]: Taking taylor expansion of (* x y) in x 6.209 * [taylor]: Taking taylor expansion of x in x 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 1 into 1 6.209 * [taylor]: Taking taylor expansion of y in x 6.209 * [backup-simplify]: Simplify y into y 6.209 * [backup-simplify]: Simplify (* 0 y) into 0 6.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.209 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.210 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 6.210 * [taylor]: Taking taylor expansion of 2 in x 6.210 * [backup-simplify]: Simplify 2 into 2 6.210 * [taylor]: Taking taylor expansion of (* x y) in x 6.210 * [taylor]: Taking taylor expansion of x in x 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.210 * [taylor]: Taking taylor expansion of y in x 6.210 * [backup-simplify]: Simplify y into y 6.210 * [backup-simplify]: Simplify (* 0 y) into 0 6.210 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.210 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.210 * [taylor]: Taking taylor expansion of (/ 2 y) in y 6.210 * [taylor]: Taking taylor expansion of 2 in y 6.210 * [backup-simplify]: Simplify 2 into 2 6.210 * [taylor]: Taking taylor expansion of y in y 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.211 * [backup-simplify]: Simplify (/ 2 1) into 2 6.211 * [backup-simplify]: Simplify 2 into 2 6.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.212 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 6.212 * [taylor]: Taking taylor expansion of 0 in y 6.212 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 6.214 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.214 * [taylor]: Taking taylor expansion of 0 in y 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.217 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.217 * [taylor]: Taking taylor expansion of 0 in y 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 6.218 * [backup-simplify]: Simplify (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 2 (* x y)) 6.218 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 6.218 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 6.218 * [taylor]: Taking taylor expansion of 2 in y 6.218 * [backup-simplify]: Simplify 2 into 2 6.218 * [taylor]: Taking taylor expansion of (* x y) in y 6.218 * [taylor]: Taking taylor expansion of x in y 6.218 * [backup-simplify]: Simplify x into x 6.218 * [taylor]: Taking taylor expansion of y in y 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 1 into 1 6.218 * [backup-simplify]: Simplify (* x 0) into 0 6.219 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.219 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 6.219 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 6.219 * [taylor]: Taking taylor expansion of 2 in x 6.219 * [backup-simplify]: Simplify 2 into 2 6.219 * [taylor]: Taking taylor expansion of (* x y) in x 6.219 * [taylor]: Taking taylor expansion of x in x 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 1 into 1 6.219 * [taylor]: Taking taylor expansion of y in x 6.219 * [backup-simplify]: Simplify y into y 6.219 * [backup-simplify]: Simplify (* 0 y) into 0 6.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.220 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.220 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 6.220 * [taylor]: Taking taylor expansion of 2 in x 6.220 * [backup-simplify]: Simplify 2 into 2 6.220 * [taylor]: Taking taylor expansion of (* x y) in x 6.220 * [taylor]: Taking taylor expansion of x in x 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 1 into 1 6.220 * [taylor]: Taking taylor expansion of y in x 6.220 * [backup-simplify]: Simplify y into y 6.220 * [backup-simplify]: Simplify (* 0 y) into 0 6.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.220 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 6.220 * [taylor]: Taking taylor expansion of (/ 2 y) in y 6.220 * [taylor]: Taking taylor expansion of 2 in y 6.220 * [backup-simplify]: Simplify 2 into 2 6.221 * [taylor]: Taking taylor expansion of y in y 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 1 into 1 6.221 * [backup-simplify]: Simplify (/ 2 1) into 2 6.221 * [backup-simplify]: Simplify 2 into 2 6.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.222 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 6.222 * [taylor]: Taking taylor expansion of 0 in y 6.222 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 6.223 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 6.224 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.224 * [taylor]: Taking taylor expansion of 0 in y 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.227 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.227 * [taylor]: Taking taylor expansion of 0 in y 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 6.228 * * * * [progress]: [ 2 / 3 ] generating series at (2) 6.229 * [backup-simplify]: Simplify (+ (+ (* x x) (* 2 (* x y))) (* y y)) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 6.229 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 6.229 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 6.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.229 * [taylor]: Taking taylor expansion of y in y 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 6.229 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.229 * [taylor]: Taking taylor expansion of x in y 6.229 * [backup-simplify]: Simplify x into x 6.229 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.229 * [taylor]: Taking taylor expansion of 2 in y 6.229 * [backup-simplify]: Simplify 2 into 2 6.229 * [taylor]: Taking taylor expansion of (* x y) in y 6.229 * [taylor]: Taking taylor expansion of x in y 6.229 * [backup-simplify]: Simplify x into x 6.229 * [taylor]: Taking taylor expansion of y in y 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.229 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 6.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.229 * [taylor]: Taking taylor expansion of y in x 6.229 * [backup-simplify]: Simplify y into y 6.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 6.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.229 * [taylor]: Taking taylor expansion of x in x 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.229 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.229 * [taylor]: Taking taylor expansion of 2 in x 6.230 * [backup-simplify]: Simplify 2 into 2 6.230 * [taylor]: Taking taylor expansion of (* x y) in x 6.230 * [taylor]: Taking taylor expansion of x in x 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [taylor]: Taking taylor expansion of y in x 6.230 * [backup-simplify]: Simplify y into y 6.230 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 6.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.230 * [taylor]: Taking taylor expansion of y in x 6.230 * [backup-simplify]: Simplify y into y 6.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 6.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.230 * [taylor]: Taking taylor expansion of x in x 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.230 * [taylor]: Taking taylor expansion of 2 in x 6.230 * [backup-simplify]: Simplify 2 into 2 6.230 * [taylor]: Taking taylor expansion of (* x y) in x 6.230 * [taylor]: Taking taylor expansion of x in x 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [taylor]: Taking taylor expansion of y in x 6.230 * [backup-simplify]: Simplify y into y 6.230 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.230 * [backup-simplify]: Simplify (* 0 y) into 0 6.231 * [backup-simplify]: Simplify (* 2 0) into 0 6.231 * [backup-simplify]: Simplify (+ 0 0) into 0 6.231 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.231 * [taylor]: Taking taylor expansion of y in y 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.233 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 6.233 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 6.233 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 6.233 * [taylor]: Taking taylor expansion of (* 2 y) in y 6.233 * [taylor]: Taking taylor expansion of 2 in y 6.233 * [backup-simplify]: Simplify 2 into 2 6.233 * [taylor]: Taking taylor expansion of y in y 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (* 2 0) into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.235 * [backup-simplify]: Simplify (* 1 1) into 1 6.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 6.237 * [backup-simplify]: Simplify (+ 1 0) into 1 6.237 * [backup-simplify]: Simplify (+ 0 1) into 1 6.237 * [taylor]: Taking taylor expansion of 1 in y 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify 1 into 1 6.238 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.238 * [backup-simplify]: Simplify 2 into 2 6.238 * [backup-simplify]: Simplify (* 1 1) into 1 6.238 * [backup-simplify]: Simplify 1 into 1 6.239 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 6.239 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* 2 (* (/ 1 x) (/ 1 y)))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 6.239 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 6.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 6.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.240 * [taylor]: Taking taylor expansion of y in y 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (* 1 1) into 1 6.240 * [backup-simplify]: Simplify (/ 1 1) into 1 6.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 6.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.240 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.240 * [taylor]: Taking taylor expansion of x in y 6.240 * [backup-simplify]: Simplify x into x 6.240 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.241 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.241 * [taylor]: Taking taylor expansion of 2 in y 6.241 * [backup-simplify]: Simplify 2 into 2 6.241 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.241 * [taylor]: Taking taylor expansion of (* x y) in y 6.241 * [taylor]: Taking taylor expansion of x in y 6.241 * [backup-simplify]: Simplify x into x 6.241 * [taylor]: Taking taylor expansion of y in y 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [backup-simplify]: Simplify (* x 0) into 0 6.241 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.241 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 6.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.241 * [taylor]: Taking taylor expansion of y in x 6.241 * [backup-simplify]: Simplify y into y 6.242 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.242 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.242 * [taylor]: Taking taylor expansion of x in x 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify 1 into 1 6.242 * [backup-simplify]: Simplify (* 1 1) into 1 6.243 * [backup-simplify]: Simplify (/ 1 1) into 1 6.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.243 * [taylor]: Taking taylor expansion of 2 in x 6.243 * [backup-simplify]: Simplify 2 into 2 6.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.243 * [taylor]: Taking taylor expansion of (* x y) in x 6.243 * [taylor]: Taking taylor expansion of x in x 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [taylor]: Taking taylor expansion of y in x 6.243 * [backup-simplify]: Simplify y into y 6.243 * [backup-simplify]: Simplify (* 0 y) into 0 6.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.243 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 6.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.243 * [taylor]: Taking taylor expansion of y in x 6.243 * [backup-simplify]: Simplify y into y 6.244 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.244 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.244 * [taylor]: Taking taylor expansion of x in x 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (* 1 1) into 1 6.244 * [backup-simplify]: Simplify (/ 1 1) into 1 6.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.245 * [taylor]: Taking taylor expansion of 2 in x 6.245 * [backup-simplify]: Simplify 2 into 2 6.245 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.245 * [taylor]: Taking taylor expansion of (* x y) in x 6.245 * [taylor]: Taking taylor expansion of x in x 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of y in x 6.245 * [backup-simplify]: Simplify y into y 6.245 * [backup-simplify]: Simplify (* 0 y) into 0 6.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.245 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.246 * [backup-simplify]: Simplify (+ 1 0) into 1 6.246 * [backup-simplify]: Simplify (+ 0 1) into 1 6.246 * [taylor]: Taking taylor expansion of 1 in y 6.246 * [backup-simplify]: Simplify 1 into 1 6.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.247 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 6.248 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 6.248 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 6.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.248 * [taylor]: Taking taylor expansion of 2 in y 6.248 * [backup-simplify]: Simplify 2 into 2 6.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.248 * [taylor]: Taking taylor expansion of y in y 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (/ 1 1) into 1 6.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.251 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 6.252 * [backup-simplify]: Simplify (+ 0 0) into 0 6.252 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.252 * [taylor]: Taking taylor expansion of y in y 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.253 * [backup-simplify]: Simplify (/ 1 1) into 1 6.253 * [backup-simplify]: Simplify 1 into 1 6.253 * [backup-simplify]: Simplify (* 2 1) into 2 6.253 * [backup-simplify]: Simplify 2 into 2 6.253 * [backup-simplify]: Simplify 1 into 1 6.254 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 6.254 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (* (/ 1 (- x)) (/ 1 (- y))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 6.254 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 6.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 6.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.254 * [taylor]: Taking taylor expansion of y in y 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.255 * [backup-simplify]: Simplify (* 1 1) into 1 6.255 * [backup-simplify]: Simplify (/ 1 1) into 1 6.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.255 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.255 * [taylor]: Taking taylor expansion of x in y 6.255 * [backup-simplify]: Simplify x into x 6.255 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.256 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.256 * [taylor]: Taking taylor expansion of 2 in y 6.256 * [backup-simplify]: Simplify 2 into 2 6.256 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.256 * [taylor]: Taking taylor expansion of (* x y) in y 6.256 * [taylor]: Taking taylor expansion of x in y 6.256 * [backup-simplify]: Simplify x into x 6.256 * [taylor]: Taking taylor expansion of y in y 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [backup-simplify]: Simplify (* x 0) into 0 6.256 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.256 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 6.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.256 * [taylor]: Taking taylor expansion of y in x 6.256 * [backup-simplify]: Simplify y into y 6.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.257 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.257 * [taylor]: Taking taylor expansion of x in x 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (* 1 1) into 1 6.257 * [backup-simplify]: Simplify (/ 1 1) into 1 6.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.258 * [taylor]: Taking taylor expansion of 2 in x 6.258 * [backup-simplify]: Simplify 2 into 2 6.258 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.258 * [taylor]: Taking taylor expansion of (* x y) in x 6.258 * [taylor]: Taking taylor expansion of x in x 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 1 into 1 6.258 * [taylor]: Taking taylor expansion of y in x 6.258 * [backup-simplify]: Simplify y into y 6.258 * [backup-simplify]: Simplify (* 0 y) into 0 6.258 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.258 * [taylor]: Taking taylor expansion of y in x 6.258 * [backup-simplify]: Simplify y into y 6.258 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.259 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.259 * [taylor]: Taking taylor expansion of x in x 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (* 1 1) into 1 6.259 * [backup-simplify]: Simplify (/ 1 1) into 1 6.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.259 * [taylor]: Taking taylor expansion of 2 in x 6.259 * [backup-simplify]: Simplify 2 into 2 6.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.260 * [taylor]: Taking taylor expansion of (* x y) in x 6.260 * [taylor]: Taking taylor expansion of x in x 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [taylor]: Taking taylor expansion of y in x 6.260 * [backup-simplify]: Simplify y into y 6.260 * [backup-simplify]: Simplify (* 0 y) into 0 6.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.260 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.261 * [backup-simplify]: Simplify (+ 1 0) into 1 6.261 * [backup-simplify]: Simplify (+ 0 1) into 1 6.261 * [taylor]: Taking taylor expansion of 1 in y 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 6.263 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 6.263 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 6.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.263 * [taylor]: Taking taylor expansion of 2 in y 6.263 * [backup-simplify]: Simplify 2 into 2 6.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.263 * [taylor]: Taking taylor expansion of y in y 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (/ 1 1) into 1 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.266 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 0) into 0 6.267 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.267 * [taylor]: Taking taylor expansion of y in y 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.267 * [backup-simplify]: Simplify (* 1 1) into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (* 2 1) into 2 6.268 * [backup-simplify]: Simplify 2 into 2 6.268 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 6.269 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 6.269 * [backup-simplify]: Simplify (+ (* x x) (* 2 (* x y))) into (+ (pow x 2) (* 2 (* x y))) 6.269 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in (x y) around 0 6.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 6.269 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.269 * [taylor]: Taking taylor expansion of x in y 6.269 * [backup-simplify]: Simplify x into x 6.269 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 6.269 * [taylor]: Taking taylor expansion of 2 in y 6.270 * [backup-simplify]: Simplify 2 into 2 6.270 * [taylor]: Taking taylor expansion of (* x y) in y 6.270 * [taylor]: Taking taylor expansion of x in y 6.270 * [backup-simplify]: Simplify x into x 6.270 * [taylor]: Taking taylor expansion of y in y 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 6.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.270 * [taylor]: Taking taylor expansion of x in x 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.270 * [taylor]: Taking taylor expansion of 2 in x 6.270 * [backup-simplify]: Simplify 2 into 2 6.270 * [taylor]: Taking taylor expansion of (* x y) in x 6.270 * [taylor]: Taking taylor expansion of x in x 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of y in x 6.270 * [backup-simplify]: Simplify y into y 6.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 6.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.270 * [taylor]: Taking taylor expansion of x in x 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 6.270 * [taylor]: Taking taylor expansion of 2 in x 6.270 * [backup-simplify]: Simplify 2 into 2 6.270 * [taylor]: Taking taylor expansion of (* x y) in x 6.270 * [taylor]: Taking taylor expansion of x in x 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of y in x 6.270 * [backup-simplify]: Simplify y into y 6.270 * [backup-simplify]: Simplify (* 0 y) into 0 6.271 * [backup-simplify]: Simplify (* 2 0) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [taylor]: Taking taylor expansion of 0 in y 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.272 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 6.272 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 6.272 * [taylor]: Taking taylor expansion of (* 2 y) in y 6.272 * [taylor]: Taking taylor expansion of 2 in y 6.273 * [backup-simplify]: Simplify 2 into 2 6.273 * [taylor]: Taking taylor expansion of y in y 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (* 2 0) into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify (* 1 1) into 1 6.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 6.275 * [backup-simplify]: Simplify (+ 1 0) into 1 6.275 * [taylor]: Taking taylor expansion of 1 in y 6.275 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify 1 into 1 6.276 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.276 * [backup-simplify]: Simplify 2 into 2 6.276 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 6.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 6.279 * [backup-simplify]: Simplify (+ 0 0) into 0 6.279 * [taylor]: Taking taylor expansion of 0 in y 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.280 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 6.285 * [backup-simplify]: Simplify (+ 0 0) into 0 6.285 * [taylor]: Taking taylor expansion of 0 in y 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 6.285 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* 2 (* (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) 6.285 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 6.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.285 * [taylor]: Taking taylor expansion of x in y 6.285 * [backup-simplify]: Simplify x into x 6.285 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.286 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.286 * [taylor]: Taking taylor expansion of 2 in y 6.286 * [backup-simplify]: Simplify 2 into 2 6.286 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.286 * [taylor]: Taking taylor expansion of (* x y) in y 6.286 * [taylor]: Taking taylor expansion of x in y 6.286 * [backup-simplify]: Simplify x into x 6.286 * [taylor]: Taking taylor expansion of y in y 6.286 * [backup-simplify]: Simplify 0 into 0 6.286 * [backup-simplify]: Simplify 1 into 1 6.286 * [backup-simplify]: Simplify (* x 0) into 0 6.286 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.286 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.286 * [taylor]: Taking taylor expansion of x in x 6.286 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify 1 into 1 6.287 * [backup-simplify]: Simplify (* 1 1) into 1 6.287 * [backup-simplify]: Simplify (/ 1 1) into 1 6.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.287 * [taylor]: Taking taylor expansion of 2 in x 6.287 * [backup-simplify]: Simplify 2 into 2 6.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.287 * [taylor]: Taking taylor expansion of (* x y) in x 6.287 * [taylor]: Taking taylor expansion of x in x 6.287 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify 1 into 1 6.287 * [taylor]: Taking taylor expansion of y in x 6.287 * [backup-simplify]: Simplify y into y 6.287 * [backup-simplify]: Simplify (* 0 y) into 0 6.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.288 * [taylor]: Taking taylor expansion of x in x 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.288 * [backup-simplify]: Simplify (* 1 1) into 1 6.289 * [backup-simplify]: Simplify (/ 1 1) into 1 6.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.289 * [taylor]: Taking taylor expansion of 2 in x 6.289 * [backup-simplify]: Simplify 2 into 2 6.289 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.289 * [taylor]: Taking taylor expansion of (* x y) in x 6.289 * [taylor]: Taking taylor expansion of x in x 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify 1 into 1 6.289 * [taylor]: Taking taylor expansion of y in x 6.289 * [backup-simplify]: Simplify y into y 6.289 * [backup-simplify]: Simplify (* 0 y) into 0 6.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.290 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.290 * [backup-simplify]: Simplify (+ 1 0) into 1 6.290 * [taylor]: Taking taylor expansion of 1 in y 6.290 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.294 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 6.294 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 6.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.294 * [taylor]: Taking taylor expansion of 2 in y 6.294 * [backup-simplify]: Simplify 2 into 2 6.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.294 * [taylor]: Taking taylor expansion of y in y 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (/ 1 1) into 1 6.295 * [backup-simplify]: Simplify (* 2 1) into 2 6.295 * [backup-simplify]: Simplify 2 into 2 6.295 * [backup-simplify]: Simplify 1 into 1 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.298 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 6.298 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [taylor]: Taking taylor expansion of 0 in y 6.298 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.300 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 6.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 6.304 * [backup-simplify]: Simplify (+ 0 0) into 0 6.304 * [taylor]: Taking taylor expansion of 0 in y 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 6.310 * [backup-simplify]: Simplify (+ 0 0) into 0 6.310 * [taylor]: Taking taylor expansion of 0 in y 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 6.311 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (* (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) 6.311 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 6.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 6.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.311 * [taylor]: Taking taylor expansion of x in y 6.311 * [backup-simplify]: Simplify x into x 6.311 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.311 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.311 * [taylor]: Taking taylor expansion of 2 in y 6.312 * [backup-simplify]: Simplify 2 into 2 6.312 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.312 * [taylor]: Taking taylor expansion of (* x y) in y 6.312 * [taylor]: Taking taylor expansion of x in y 6.312 * [backup-simplify]: Simplify x into x 6.312 * [taylor]: Taking taylor expansion of y in y 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (* x 0) into 0 6.312 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.312 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.312 * [taylor]: Taking taylor expansion of x in x 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (* 1 1) into 1 6.313 * [backup-simplify]: Simplify (/ 1 1) into 1 6.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.313 * [taylor]: Taking taylor expansion of 2 in x 6.313 * [backup-simplify]: Simplify 2 into 2 6.313 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.313 * [taylor]: Taking taylor expansion of (* x y) in x 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [taylor]: Taking taylor expansion of y in x 6.313 * [backup-simplify]: Simplify y into y 6.313 * [backup-simplify]: Simplify (* 0 y) into 0 6.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.314 * [taylor]: Taking taylor expansion of x in x 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.315 * [taylor]: Taking taylor expansion of 2 in x 6.315 * [backup-simplify]: Simplify 2 into 2 6.315 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.315 * [taylor]: Taking taylor expansion of (* x y) in x 6.315 * [taylor]: Taking taylor expansion of x in x 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [taylor]: Taking taylor expansion of y in x 6.315 * [backup-simplify]: Simplify y into y 6.315 * [backup-simplify]: Simplify (* 0 y) into 0 6.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.316 * [backup-simplify]: Simplify (+ 1 0) into 1 6.316 * [taylor]: Taking taylor expansion of 1 in y 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 6.317 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 6.317 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.317 * [taylor]: Taking taylor expansion of 2 in y 6.317 * [backup-simplify]: Simplify 2 into 2 6.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.317 * [taylor]: Taking taylor expansion of y in y 6.317 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 1 into 1 6.318 * [backup-simplify]: Simplify (/ 1 1) into 1 6.318 * [backup-simplify]: Simplify (* 2 1) into 2 6.318 * [backup-simplify]: Simplify 2 into 2 6.318 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.321 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.322 * [taylor]: Taking taylor expansion of 0 in y 6.322 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 6.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 6.327 * [backup-simplify]: Simplify (+ 0 0) into 0 6.327 * [taylor]: Taking taylor expansion of 0 in y 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 6.336 * [backup-simplify]: Simplify (+ 0 0) into 0 6.336 * [taylor]: Taking taylor expansion of 0 in y 6.336 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 6.336 * * * [progress]: simplifying candidates 6.337 * [simplify]: Simplifying: (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (* (* (exp (* x x)) (exp (* 2 (* x y)))) (exp (* y y))) (* (exp (+ (* x x) (* 2 (* x y)))) (exp (* y y))) (log (+ (+ (* x x) (* 2 (* x y))) (* y y))) (exp (+ (+ (* x x) (* 2 (* x y))) (* y y))) (* (cbrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (cbrt (+ (+ (* x x) (* 2 (* x y))) (* y y)))) (cbrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (* (* (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (+ (* x x) (* 2 (* x y))) (* y y))) (+ (+ (* x x) (* 2 (* x y))) (* y y))) (sqrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (sqrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (+ (pow (+ (* x x) (* 2 (* x y))) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* 2 (* x y))) (+ (* x x) (* 2 (* x y)))) (- (* (* y y) (* y y)) (* (+ (* x x) (* 2 (* x y))) (* y y)))) (- (* (+ (* x x) (* 2 (* x y))) (+ (* x x) (* 2 (* x y)))) (* (* y y) (* y y))) (- (+ (* x x) (* 2 (* x y))) (* y y)) (+ (* 2 (* x y)) (* y y)) (* (exp (* x x)) (exp (* 2 (* x y)))) (log (+ (* x x) (* 2 (* x y)))) (exp (+ (* x x) (* 2 (* x y)))) (* (cbrt (+ (* x x) (* 2 (* x y)))) (cbrt (+ (* x x) (* 2 (* x y))))) (cbrt (+ (* x x) (* 2 (* x y)))) (* (* (+ (* x x) (* 2 (* x y))) (+ (* x x) (* 2 (* x y)))) (+ (* x x) (* 2 (* x y)))) (sqrt (+ (* x x) (* 2 (* x y)))) (sqrt (+ (* x x) (* 2 (* x y)))) (+ (pow (* x x) 3) (pow (* 2 (* x y)) 3)) (+ (* (* x x) (* x x)) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (* x x) (* 2 (* x y))))) (- (* (* x x) (* x x)) (* (* 2 (* x y)) (* 2 (* x y)))) (- (* x x) (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 6.339 * * [simplify]: Extracting # 0 : cost 40 inf + 0 6.339 * * [simplify]: Extracting # 1 : cost 70 inf + 0 6.339 * * [simplify]: Extracting # 2 : cost 77 inf + 214 6.340 * * [simplify]: Extracting # 3 : cost 49 inf + 3035 6.341 * * [simplify]: Extracting # 4 : cost 20 inf + 9975 6.343 * * [simplify]: Extracting # 5 : cost 7 inf + 14124 6.344 * * [simplify]: Extracting # 6 : cost 0 inf + 16385 6.346 * * [simplify]: iteration 0 : 80 enodes (cost 13827 ) 6.376 * * [simplify]: Extracting # 0 : cost 0 inf + 16385 6.379 * * [simplify]: Extracting # 1 : cost 72 inf + 15302 6.385 * * [simplify]: Extracting # 2 : cost 11 inf + 25906 6.391 * * [simplify]: Extracting # 3 : cost 7 inf + 25671 6.397 * * [simplify]: Extracting # 4 : cost 0 inf + 27639 6.404 * * [simplify]: iteration 1 : 260 enodes (cost 11155 ) 6.530 * * [simplify]: Extracting # 0 : cost 0 inf + 27639 6.546 * * [simplify]: Extracting # 1 : cost 240 inf + 26434 6.568 * * [simplify]: Extracting # 2 : cost 15 inf + 68932 6.597 * * [simplify]: Extracting # 3 : cost 8 inf + 69116 6.625 * * [simplify]: Extracting # 4 : cost 0 inf + 71617 6.655 * * [simplify]: iteration 2 : 1020 enodes (cost 11004 ) 7.265 * * [simplify]: Extracting # 0 : cost 0 inf + 71617 7.303 * * [simplify]: Extracting # 1 : cost 1549 inf + 70684 7.449 * * [simplify]: Extracting # 2 : cost 76 inf + 424712 7.617 * * [simplify]: Extracting # 3 : cost 19 inf + 431250 7.826 * * [simplify]: Extracting # 4 : cost 0 inf + 437671 8.032 * * [simplify]: iteration complete: 5000 enodes (cost 10924 ) 8.033 * [simplify]: Simplified to: (* 2 (* x y)) (* 2 (* x y)) (log (* 2 (* x y))) (log (* 2 (* x y))) (log (* 2 (* x y))) (* (exp (* x y)) (exp (* x y))) (* (* (* (* x y) (* x y)) (* x y)) 8) (* (* (* (* x y) (* x y)) (* x y)) 8) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* (* x y) (* x y)) (* x y)) 8) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (exp (+ (* y y) (+ (* 2 (* x y)) (* x x)))) (exp (+ (* y y) (+ (* 2 (* x y)) (* x x)))) (log (+ (+ (* x x) (* 2 (* x y))) (* y y))) (exp (+ (* y y) (+ (* 2 (* x y)) (* x x)))) (* (cbrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (cbrt (+ (+ (* x x) (* 2 (* x y))) (* y y)))) (cbrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (* (* (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (+ (* x x) (* 2 (* x y))) (* y y))) (+ (+ (* x x) (* 2 (* x y))) (* y y))) (sqrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (sqrt (+ (+ (* x x) (* 2 (* x y))) (* y y))) (+ (* (+ (* 2 (* x y)) (* x x)) (* (+ (* 2 (* x y)) (* x x)) (+ (* 2 (* x y)) (* x x)))) (* (* y y) (* (* y y) (* y y)))) (- (* (* y y) (* y y)) (* (+ (* 2 (* x y)) (* x x)) (- (* y y) (+ (* 2 (* x y)) (* x x))))) (- (* (+ (* x x) (* 2 (* x y))) (+ (* x x) (* 2 (* x y)))) (* (* y y) (* y y))) (- (+ (* x x) (* 2 (* x y))) (* y y)) (+ (* 2 (* x y)) (* y y)) (exp (+ (* x x) (* 2 (* x y)))) (log (+ (* x x) (* 2 (* x y)))) (exp (+ (* x x) (* 2 (* x y)))) (* (cbrt (+ (* x x) (* 2 (* x y)))) (cbrt (+ (* x x) (* 2 (* x y))))) (cbrt (+ (* x x) (* 2 (* x y)))) (* (* (+ (* x x) (* 2 (* x y))) (+ (* x x) (* 2 (* x y)))) (+ (* x x) (* 2 (* x y)))) (sqrt (+ (* x x) (* 2 (* x y)))) (sqrt (+ (* x x) (* 2 (* x y)))) (* (* (* x x) x) (+ (* (* (* y y) y) 8) (* (* x x) x))) (+ (* (* 2 (* x y)) (- (* 2 (* x y)) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (* 2 (* x y)) (* 2 (* x y)))) (- (* x x) (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (+ (* x x) (* 2 (* x y))) (* y y)) (+ (* 2 (* x y)) (* x x)) (+ (* 2 (* x y)) (* x x)) (+ (* 2 (* x y)) (* x x)) 8.036 * * * [progress]: adding candidates to table 8.244 * [progress]: [Phase 3 of 3] Extracting. 8.244 * * [regime]: Finding splitpoints for: (# #) 8.244 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.244 * * * * [regimes]: Trying to branch on y from (# #) 8.276 * * * * [regimes]: Trying to branch on x from (# #) 8.301 * * * [regime]: Found split indices: #