14.547 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.024 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)) 0.027 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.028 * * [simplify]: iteration 1 : 25 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 27 enodes (cost 4 ) 0.031 * * [simplify]: iteration 3 : 27 enodes (cost 4 ) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.082 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.083 * [backup-simplify]: Simplify (+ (* x 2.0) (* x x)) into (+ (pow x 2) (* 2.0 x)) 0.083 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [backup-simplify]: Simplify 2.0 into 2.0 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [backup-simplify]: Simplify 2.0 into 2.0 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.085 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.085 * [backup-simplify]: Simplify 2.0 into 2.0 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.096 * [backup-simplify]: Simplify (+ (* (/ 1 x) 2.0) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.096 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of 2.0 in x 0.096 * [backup-simplify]: Simplify 2.0 into 2.0 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [backup-simplify]: Simplify 2.0 into 2.0 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.099 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.099 * [backup-simplify]: Simplify 2.0 into 2.0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 0.114 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) 2.0) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.114 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [backup-simplify]: Simplify 2.0 into 2.0 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 2.0 in x 0.116 * [backup-simplify]: Simplify 2.0 into 2.0 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.118 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.118 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.118 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 0.139 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.139 * [backup-simplify]: Simplify (+ (+ (* x 2.0) (* x x)) (* y y)) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.139 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.139 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [backup-simplify]: Simplify 2.0 into 2.0 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.139 * [taylor]: Taking taylor expansion of 2.0 in x 0.139 * [backup-simplify]: Simplify 2.0 into 2.0 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.139 * [taylor]: Taking taylor expansion of 2.0 in x 0.139 * [backup-simplify]: Simplify 2.0 into 2.0 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.140 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.141 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.141 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.141 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.141 * [taylor]: Taking taylor expansion of 2.0 in y 0.141 * [backup-simplify]: Simplify 2.0 into 2.0 0.141 * [backup-simplify]: Simplify 2.0 into 2.0 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.144 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) 2.0) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.144 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.145 * [taylor]: Taking taylor expansion of 2.0 in y 0.145 * [backup-simplify]: Simplify 2.0 into 2.0 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [backup-simplify]: Simplify x into x 0.145 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of 2.0 in x 0.146 * [backup-simplify]: Simplify 2.0 into 2.0 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of 2.0 in x 0.147 * [backup-simplify]: Simplify 2.0 into 2.0 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [taylor]: Taking taylor expansion of 1 in y 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.148 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.149 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.149 * [taylor]: Taking taylor expansion of 2.0 in y 0.149 * [backup-simplify]: Simplify 2.0 into 2.0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 2.0 into 2.0 0.155 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.155 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) 2.0) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.155 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [backup-simplify]: Simplify x into x 0.156 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.156 * [taylor]: Taking taylor expansion of 2.0 in y 0.156 * [backup-simplify]: Simplify 2.0 into 2.0 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [backup-simplify]: Simplify x into x 0.156 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.156 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.157 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of 2.0 in x 0.157 * [backup-simplify]: Simplify 2.0 into 2.0 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.158 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.158 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of 2.0 in x 0.158 * [backup-simplify]: Simplify 2.0 into 2.0 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.161 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.161 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.161 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.161 * [taylor]: Taking taylor expansion of 2.0 in y 0.161 * [backup-simplify]: Simplify 2.0 into 2.0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.168 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.169 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.169 * * * [progress]: simplifying candidates 0.169 * [simplify]: Simplifying: (* (exp (* x 2.0)) (exp (* x x))) (log (+ (* x 2.0) (* x x))) (exp (+ (* x 2.0) (* x x))) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (* (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (+ (pow (* x 2.0) 3) (pow (* x x) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (* x x) (* x x)) (* (* x 2.0) (* x x)))) (- (* (* x 2.0) (* x 2.0)) (* (* x x) (* x x))) (- (* x 2.0) (* x x)) (+ 2.0 x) (* (* (exp (* x 2.0)) (exp (* x x))) (exp (* y y))) (* (exp (+ (* x 2.0) (* x x))) (exp (* y y))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (+ (+ (* x 2.0) (* x x)) (* y y))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (+ (+ (* x 2.0) (* x x)) (* y y)) (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3)) (+ (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (* x x)) (* y y)))) (- (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (* (* y y) (* y y))) (- (+ (* x 2.0) (* x x)) (* y y)) (+ (* x x) (* y y)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.169 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h1)) (exp (* h0 h0))) (log (+ (* h0 h1) (* h0 h0))) (exp (+ (* h0 h1) (* h0 h0))) (* (cbrt (+ (* h0 h1) (* h0 h0))) (cbrt (+ (* h0 h1) (* h0 h0)))) (cbrt (+ (* h0 h1) (* h0 h0))) (* (* (+ (* h0 h1) (* h0 h0)) (+ (* h0 h1) (* h0 h0))) (+ (* h0 h1) (* h0 h0))) (sqrt (+ (* h0 h1) (* h0 h0))) (sqrt (+ (* h0 h1) (* h0 h0))) (+ (pow (* h0 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h0 h1) (* h0 h0)))) (- (* (* h0 h1) (* h0 h1)) (* (* h0 h0) (* h0 h0))) (- (* h0 h1) (* h0 h0)) (+ h1 h0) (* (* (exp (* h0 h1)) (exp (* h0 h0))) (exp (* h2 h2))) (* (exp (+ (* h0 h1) (* h0 h0))) (exp (* h2 h2))) (log (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (exp (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (* (cbrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (cbrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)))) (cbrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (* (* (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)) (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (sqrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (sqrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (+ (pow (+ (* h0 h1) (* h0 h0)) 3) (pow (* h2 h2) 3)) (+ (* (+ (* h0 h1) (* h0 h0)) (+ (* h0 h1) (* h0 h0))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h1) (* h0 h0)) (* h2 h2)))) (- (* (+ (* h0 h1) (* h0 h0)) (+ (* h0 h1) (* h0 h0))) (* (* h2 h2) (* h2 h2))) (- (+ (* h0 h1) (* h0 h0)) (* h2 h2)) (+ (* h0 h0) (* h2 h2)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) 0.173 * * [simplify]: iteration 0 : 182 enodes (cost 191 ) 0.177 * * [simplify]: iteration 1 : 887 enodes (cost 164 ) 0.194 * * [simplify]: iteration 2 : 3634 enodes (cost 160 ) 0.267 * * [simplify]: iteration 3 : 5002 enodes (cost 160 ) 0.269 * * * [progress]: adding candidates to table 0.323 * * [progress]: iteration 2 / 4 0.323 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.330 * * * [progress]: generating rewritten candidates 0.330 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.351 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.360 * * * [progress]: generating series expansions 0.360 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.360 * [backup-simplify]: Simplify (* x (+ 2.0 x)) into (* (+ x 2.0) x) 0.360 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.360 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of 2.0 in x 0.361 * [backup-simplify]: Simplify 2.0 into 2.0 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.361 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of 2.0 in x 0.361 * [backup-simplify]: Simplify 2.0 into 2.0 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.362 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 1 0)) into 2.0 0.363 * [backup-simplify]: Simplify 2.0 into 2.0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 1) (* 0 0))) into 1 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.370 * [backup-simplify]: Simplify (* (/ 1 x) (+ 2.0 (/ 1 x))) into (/ (+ (/ 1 x) 2.0) x) 0.370 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of 2.0 in x 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of 2.0 in x 0.372 * [backup-simplify]: Simplify 2.0 into 2.0 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.374 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 0.374 * [backup-simplify]: Simplify 2.0 into 2.0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 0.382 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x)))) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 0.382 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.383 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of 2.0 in x 0.383 * [backup-simplify]: Simplify 2.0 into 2.0 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.384 * [backup-simplify]: Simplify (/ -1 1) into -1 0.384 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.384 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 2.0 in x 0.384 * [backup-simplify]: Simplify 2.0 into 2.0 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (- 1) into -1 0.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.385 * [backup-simplify]: Simplify (/ -1 1) into -1 0.385 * [backup-simplify]: Simplify (* -1 -1) into 1 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.387 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* -1 (/ 0 1)))) into 2.0 0.388 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.388 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))))) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 0.402 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.403 * [backup-simplify]: Simplify (+ (* y y) (* x (+ 2.0 x))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.403 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.403 * [taylor]: Taking taylor expansion of 2.0 in x 0.403 * [backup-simplify]: Simplify 2.0 into 2.0 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [backup-simplify]: Simplify x into x 0.403 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.403 * [taylor]: Taking taylor expansion of 2.0 in y 0.403 * [backup-simplify]: Simplify 2.0 into 2.0 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [backup-simplify]: Simplify x into x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [backup-simplify]: Simplify x into x 0.403 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.403 * [taylor]: Taking taylor expansion of 2.0 in y 0.403 * [backup-simplify]: Simplify 2.0 into 2.0 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [backup-simplify]: Simplify x into x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.403 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.403 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.404 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.404 * [taylor]: Taking taylor expansion of 2.0 in x 0.404 * [backup-simplify]: Simplify 2.0 into 2.0 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.405 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [taylor]: Taking taylor expansion of 0 in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.406 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.406 * [backup-simplify]: Simplify 2.0 into 2.0 0.407 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (+ 0 1) into 1 0.408 * [backup-simplify]: Simplify (+ 0 1) into 1 0.408 * [taylor]: Taking taylor expansion of 1 in x 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.410 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ 2.0 (/ 1 x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.410 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [backup-simplify]: Simplify y into y 0.410 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of 2.0 in x 0.410 * [backup-simplify]: Simplify 2.0 into 2.0 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [backup-simplify]: Simplify x into x 0.411 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.411 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.412 * [taylor]: Taking taylor expansion of 2.0 in y 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [backup-simplify]: Simplify x into x 0.412 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [backup-simplify]: Simplify x into x 0.412 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.412 * [taylor]: Taking taylor expansion of 2.0 in y 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [backup-simplify]: Simplify x into x 0.413 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (+ 0 1) into 1 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [taylor]: Taking taylor expansion of 0 in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.415 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.416 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of 2.0 in x 0.416 * [backup-simplify]: Simplify 2.0 into 2.0 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.420 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.420 * [backup-simplify]: Simplify 2.0 into 2.0 0.420 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.421 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x))))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.421 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.421 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [backup-simplify]: Simplify y into y 0.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of 2.0 in x 0.422 * [backup-simplify]: Simplify 2.0 into 2.0 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [backup-simplify]: Simplify x into x 0.422 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.422 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.423 * [taylor]: Taking taylor expansion of 2.0 in y 0.423 * [backup-simplify]: Simplify 2.0 into 2.0 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [backup-simplify]: Simplify x into x 0.423 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.423 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [backup-simplify]: Simplify x into x 0.423 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.424 * [taylor]: Taking taylor expansion of 2.0 in y 0.424 * [backup-simplify]: Simplify 2.0 into 2.0 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [backup-simplify]: Simplify x into x 0.424 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.424 * [backup-simplify]: Simplify (+ 0 1) into 1 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.427 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.427 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.427 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of 2.0 in x 0.427 * [backup-simplify]: Simplify 2.0 into 2.0 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [taylor]: Taking taylor expansion of 0 in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.437 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.437 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.437 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.438 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.438 * * * [progress]: simplifying candidates 0.439 * [simplify]: Simplifying: (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (* (exp (* y y)) (exp (* x (+ 2.0 x)))) (log (+ (* y y) (* x (+ 2.0 x)))) (exp (+ (* y y) (* x (+ 2.0 x)))) (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))) (cbrt (+ (* y y) (* x (+ 2.0 x)))) (* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (+ (pow (* y y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* (* y y) (* x (+ 2.0 x))))) (- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x 2.0)) (+ (* y y) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.439 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 h0)) (+ (log h0) (log (+ h1 h0))) (log (* h0 (+ h1 h0))) (exp (* h0 (+ h1 h0))) (* (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h0 (+ h1 h0))) (cbrt (* h0 (+ h1 h0)))) (cbrt (* h0 (+ h1 h0))) (* (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 h0) (* h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h0 (sqrt (+ h1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* h0 (+ (pow h1 3) (pow h0 3))) (* h0 (- (* h1 h1) (* h0 h0))) (* (exp (* h2 h2)) (exp (* h0 (+ h1 h0)))) (log (+ (* h2 h2) (* h0 (+ h1 h0)))) (exp (+ (* h2 h2) (* h0 (+ h1 h0)))) (* (cbrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (cbrt (+ (* h2 h2) (* h0 (+ h1 h0))))) (cbrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (* (* (+ (* h2 h2) (* h0 (+ h1 h0))) (+ (* h2 h2) (* h0 (+ h1 h0)))) (+ (* h2 h2) (* h0 (+ h1 h0)))) (sqrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (sqrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (+ (pow (* h2 h2) 3) (pow (* h0 (+ h1 h0)) 3)) (+ (* (* h2 h2) (* h2 h2)) (- (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* (* h2 h2) (* h0 (+ h1 h0))))) (- (* (* h2 h2) (* h2 h2)) (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0)))) (- (* h2 h2) (* h0 (+ h1 h0))) (+ (* h2 h2) (* h0 h1)) (+ (* h2 h2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) 0.442 * * [simplify]: iteration 0 : 206 enodes (cost 183 ) 0.448 * * [simplify]: iteration 1 : 1038 enodes (cost 169 ) 0.470 * * [simplify]: iteration 2 : 5002 enodes (cost 169 ) 0.472 * * * [progress]: adding candidates to table 0.531 * [progress]: [Phase 3 of 3] Extracting. 0.531 * * [regime]: Finding splitpoints for: (# #) 0.531 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ (* x 2.0) (* x x)) (+ (+ (* x 2.0) (* x x)) (* y y)) y x) 0.531 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.541 * * * * [regimes]: Trying to branch on (+ (* x 2.0) (* x x)) from (# #) 0.551 * * * * [regimes]: Trying to branch on (+ (+ (* x 2.0) (* x x)) (* y y)) from (# #) 0.565 * * * * [regimes]: Trying to branch on y from (# #) 0.575 * * * * [regimes]: Trying to branch on x from (# #) 0.586 * * * [regime]: Found split indices: #