19.523 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.090 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.090 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.090 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.090 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.091 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.100 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.100 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.100 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.101 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.101 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.102 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.103 * [backup-simplify]: Simplify (+ 1 0) into 1 0.104 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.104 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.104 * [taylor]: Taking taylor expansion of 1/2 in y 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.109 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.109 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [backup-simplify]: Simplify x into x 0.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (+ 0 1) into 1 0.110 * [backup-simplify]: Simplify (sqrt 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.114 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify (sqrt 1) into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.120 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.123 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of 1/2 in y 0.124 * [backup-simplify]: Simplify 1/2 into 1/2 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [backup-simplify]: Simplify (+ 0 1) into 1 0.133 * [backup-simplify]: Simplify (sqrt 1) into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (sqrt 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [backup-simplify]: Simplify (sqrt 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.145 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of 1/2 in y 0.145 * [backup-simplify]: Simplify 1/2 into 1/2 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 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 0.146 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.150 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.150 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.150 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.150 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.150 * [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 (+ (* y 0) (* 0 y)) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.156 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.156 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 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 (+ (/ 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 0.157 * [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 0.157 * [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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.158 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.169 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.169 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [backup-simplify]: Simplify x into x 0.169 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 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 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.181 * * * [progress]: simplifying candidates 0.182 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.020 * * * [progress]: adding candidates to table 1.128 * * [progress]: iteration 2 / 4 1.128 * * * [progress]: picking best candidate 1.133 * * * * [pick]: Picked # 1.133 * * * [progress]: localizing error 1.155 * * * [progress]: generating rewritten candidates 1.155 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.227 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.297 * * * [progress]: generating series expansions 1.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.297 * [backup-simplify]: Simplify (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) into (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) 1.297 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (y x) around 0 1.297 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 1.297 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.297 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.298 * [taylor]: Taking taylor expansion of y in x 1.298 * [backup-simplify]: Simplify y into y 1.298 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.298 * [taylor]: Taking taylor expansion of y in x 1.298 * [backup-simplify]: Simplify y into y 1.298 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.298 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.298 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.298 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.298 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.298 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.298 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.298 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 1.299 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 1.299 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.299 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.299 * [taylor]: Taking taylor expansion of x in y 1.299 * [backup-simplify]: Simplify x into x 1.299 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.299 * [taylor]: Taking taylor expansion of x in y 1.299 * [backup-simplify]: Simplify x into x 1.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.299 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.299 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.299 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.299 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.299 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.299 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 1.299 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.299 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.299 * [taylor]: Taking taylor expansion of x in y 1.299 * [backup-simplify]: Simplify x into x 1.299 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.299 * [taylor]: Taking taylor expansion of x in y 1.299 * [backup-simplify]: Simplify x into x 1.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.300 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.300 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.300 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.300 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.300 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.300 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))))) into 0 1.302 * [taylor]: Taking taylor expansion of 0 in x 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (- 1) into -1 1.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.304 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 1 1.304 * [taylor]: Taking taylor expansion of 1 in x 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.305 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))) (* 0 (/ -1 (pow x 2))) (* 1 (/ 0 (pow x 2))))) into 0 1.307 * [taylor]: Taking taylor expansion of 0 in x 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.309 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 1.310 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (- 1) into -1 1.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.311 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (- (/ -1 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 1 (/ -1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.312 * [taylor]: Taking taylor expansion of 0 in x 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 1.313 * [backup-simplify]: Simplify (/ (+ (* (- (pow (/ 1 y) 3)) (/ 1 y)) (pow (/ 1 x) 4)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.313 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 1.313 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.313 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.314 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [backup-simplify]: Simplify y into y 1.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.314 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.314 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (* 1 1) into 1 1.315 * [backup-simplify]: Simplify (/ 1 1) into 1 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [backup-simplify]: Simplify y into y 1.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.315 * [backup-simplify]: Simplify (+ 1 0) into 1 1.316 * [backup-simplify]: Simplify (+ 1 0) into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.316 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.316 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.316 * [taylor]: Taking taylor expansion of x in y 1.316 * [backup-simplify]: Simplify x into x 1.316 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.316 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.316 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.316 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.316 * [taylor]: Taking taylor expansion of y in y 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.317 * [backup-simplify]: Simplify (* 1 1) into 1 1.317 * [backup-simplify]: Simplify (/ 1 1) into 1 1.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.317 * [taylor]: Taking taylor expansion of x in y 1.317 * [backup-simplify]: Simplify x into x 1.317 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.317 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.317 * [taylor]: Taking taylor expansion of y in y 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (* 1 1) into 1 1.318 * [backup-simplify]: Simplify (/ 1 1) into 1 1.318 * [backup-simplify]: Simplify (- 1) into -1 1.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.318 * [backup-simplify]: Simplify (- 1) into -1 1.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.319 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.319 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.319 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [backup-simplify]: Simplify x into x 1.319 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.319 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.319 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.319 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (* 1 1) into 1 1.320 * [backup-simplify]: Simplify (* 1 1) into 1 1.320 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.320 * [taylor]: Taking taylor expansion of x in y 1.320 * [backup-simplify]: Simplify x into x 1.320 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.320 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.320 * [taylor]: Taking taylor expansion of y in y 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.321 * [backup-simplify]: Simplify (- 1) into -1 1.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.322 * [backup-simplify]: Simplify (- 1) into -1 1.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.322 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.322 * [taylor]: Taking taylor expansion of 1 in x 1.322 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (- 0) into 0 1.325 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.326 * [taylor]: Taking taylor expansion of 0 in x 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (- 0) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.330 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow x 2)) 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (* 1 1) into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (- 0) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow x 2)) -1)) (* (/ 1 (pow x 2)) (/ 0 -1)))) into 0 1.336 * [taylor]: Taking taylor expansion of 0 in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.339 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.339 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 4)) -1) (+ (* 1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (/ 1 (pow x 2)) (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into 0 1.342 * [taylor]: Taking taylor expansion of 0 in x 1.342 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.344 * [backup-simplify]: Simplify (/ (+ (* (- (pow (/ 1 (- y)) 3)) (/ 1 (- y))) (pow (/ 1 (- x)) 4)) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.344 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 1.344 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.344 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.344 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1 1) into 1 1.345 * [backup-simplify]: Simplify (* 1 1) into 1 1.345 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.345 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.345 * [taylor]: Taking taylor expansion of y in x 1.345 * [backup-simplify]: Simplify y into y 1.345 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.345 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.345 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.345 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.346 * [backup-simplify]: Simplify (/ 1 1) into 1 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.346 * [taylor]: Taking taylor expansion of y in x 1.346 * [backup-simplify]: Simplify y into y 1.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.346 * [backup-simplify]: Simplify (+ 1 0) into 1 1.347 * [backup-simplify]: Simplify (+ 1 0) into 1 1.347 * [backup-simplify]: Simplify (/ 1 1) into 1 1.347 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.347 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.347 * [taylor]: Taking taylor expansion of x in y 1.347 * [backup-simplify]: Simplify x into x 1.347 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.347 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.347 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.347 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (/ 1 1) into 1 1.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.348 * [taylor]: Taking taylor expansion of x in y 1.348 * [backup-simplify]: Simplify x into x 1.348 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.348 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.348 * [taylor]: Taking taylor expansion of y in y 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (* 1 1) into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [backup-simplify]: Simplify (- 1) into -1 1.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.350 * [backup-simplify]: Simplify (- 1) into -1 1.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.350 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.350 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.350 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.350 * [taylor]: Taking taylor expansion of x in y 1.350 * [backup-simplify]: Simplify x into x 1.350 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.350 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.350 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.350 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* 1 1) into 1 1.351 * [backup-simplify]: Simplify (* 1 1) into 1 1.351 * [backup-simplify]: Simplify (/ 1 1) into 1 1.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.351 * [taylor]: Taking taylor expansion of x in y 1.351 * [backup-simplify]: Simplify x into x 1.351 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.351 * [taylor]: Taking taylor expansion of y in y 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (* 1 1) into 1 1.352 * [backup-simplify]: Simplify (/ 1 1) into 1 1.352 * [backup-simplify]: Simplify (- 1) into -1 1.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.353 * [backup-simplify]: Simplify (- 1) into -1 1.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.353 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.353 * [taylor]: Taking taylor expansion of 1 in x 1.353 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (+ 0 0) into 0 1.361 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.361 * [taylor]: Taking taylor expansion of 0 in x 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.365 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow x 2)) 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (- 0) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow x 2)) -1)) (* (/ 1 (pow x 2)) (/ 0 -1)))) into 0 1.370 * [taylor]: Taking taylor expansion of 0 in x 1.370 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.373 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.374 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 4)) -1) (+ (* 1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (/ 1 (pow x 2)) (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into 0 1.377 * [taylor]: Taking taylor expansion of 0 in x 1.377 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.379 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.379 * [backup-simplify]: Simplify (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) into (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) 1.379 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in (y x) around 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in x 1.379 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 1.379 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.379 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.379 * [taylor]: Taking taylor expansion of y in x 1.379 * [backup-simplify]: Simplify y into y 1.379 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.379 * [taylor]: Taking taylor expansion of y in x 1.379 * [backup-simplify]: Simplify y into y 1.379 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.379 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.379 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.380 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.380 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.380 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.380 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 1.380 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.380 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.380 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0 1.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.382 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y 1.382 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 1.382 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.382 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.382 * [taylor]: Taking taylor expansion of x in y 1.382 * [backup-simplify]: Simplify x into x 1.382 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.382 * [taylor]: Taking taylor expansion of y in y 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.382 * [taylor]: Taking taylor expansion of x in y 1.382 * [backup-simplify]: Simplify x into x 1.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.382 * [taylor]: Taking taylor expansion of y in y 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.382 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.382 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.382 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.382 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.382 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.382 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.383 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.383 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))))) into 0 1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.384 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y 1.384 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 1.384 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.384 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.384 * [taylor]: Taking taylor expansion of x in y 1.384 * [backup-simplify]: Simplify x into x 1.384 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.384 * [taylor]: Taking taylor expansion of x in y 1.384 * [backup-simplify]: Simplify x into x 1.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.384 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.384 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.384 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.384 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.384 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.384 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.384 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.385 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))))) into 0 1.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.385 * [taylor]: Taking taylor expansion of x in x 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [taylor]: Taking taylor expansion of 0 in x 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.386 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.387 * [backup-simplify]: Simplify (* 1 1) into 1 1.387 * [backup-simplify]: Simplify (- 1) into -1 1.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.388 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 1 1.388 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 1.388 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.388 * [taylor]: Taking taylor expansion of 1/2 in x 1.388 * [backup-simplify]: Simplify 1/2 into 1/2 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))) (* 0 (/ -1 (pow x 2))) (* 1 (/ 0 (pow x 2))))) into 0 1.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 1.392 * [taylor]: Taking taylor expansion of 0 in x 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 1.394 * [backup-simplify]: Simplify (sqrt (/ (+ (* (- (pow (/ 1 y) 3)) (/ 1 y)) (pow (/ 1 x) 4)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1.394 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (y x) around 0 1.394 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.394 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.394 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.394 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.394 * [taylor]: Taking taylor expansion of y in x 1.395 * [backup-simplify]: Simplify y into y 1.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.395 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.395 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.395 * [taylor]: Taking taylor expansion of y in x 1.395 * [backup-simplify]: Simplify y into y 1.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.396 * [backup-simplify]: Simplify (+ 1 0) into 1 1.396 * [backup-simplify]: Simplify (+ 1 0) into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.397 * [backup-simplify]: Simplify (sqrt 1) into 1 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.400 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.400 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.400 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.400 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.400 * [taylor]: Taking taylor expansion of x in y 1.400 * [backup-simplify]: Simplify x into x 1.400 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.401 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.401 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.401 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.401 * [taylor]: Taking taylor expansion of x in y 1.401 * [backup-simplify]: Simplify x into x 1.402 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.402 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (* 1 1) into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [backup-simplify]: Simplify (- 1) into -1 1.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.403 * [backup-simplify]: Simplify (- 1) into -1 1.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.403 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.404 * [backup-simplify]: Simplify (sqrt 1) into 1 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.407 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.407 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.407 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.407 * [taylor]: Taking taylor expansion of x in y 1.407 * [backup-simplify]: Simplify x into x 1.408 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.408 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.408 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.408 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.408 * [taylor]: Taking taylor expansion of y in y 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [backup-simplify]: Simplify x into x 1.409 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (* 1 1) into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.410 * [backup-simplify]: Simplify (- 1) into -1 1.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.410 * [backup-simplify]: Simplify (- 1) into -1 1.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.410 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.411 * [backup-simplify]: Simplify (sqrt 1) into 1 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (- 0) into 0 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.415 * [taylor]: Taking taylor expansion of 1 in x 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of 0 in x 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.419 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow x 2)) 1.419 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 1.419 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 1.420 * [taylor]: Taking taylor expansion of 1/2 in x 1.420 * [backup-simplify]: Simplify 1/2 into 1/2 1.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (* 1 1) into 1 1.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- 0) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow x 2)) -1)) (* (/ 1 (pow x 2)) (/ 0 -1)))) into 0 1.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 1.427 * [taylor]: Taking taylor expansion of 0 in x 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 1.428 * [backup-simplify]: Simplify (sqrt (/ (+ (* (- (pow (/ 1 (- y)) 3)) (/ 1 (- y))) (pow (/ 1 (- x)) 4)) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1.429 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (y x) around 0 1.429 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.429 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.429 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.429 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.429 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [backup-simplify]: Simplify y into y 1.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.430 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.430 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.430 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* 1 1) into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.430 * [taylor]: Taking taylor expansion of y in x 1.430 * [backup-simplify]: Simplify y into y 1.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.430 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [backup-simplify]: Simplify (sqrt 1) into 1 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.435 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.435 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.435 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.435 * [taylor]: Taking taylor expansion of x in y 1.435 * [backup-simplify]: Simplify x into x 1.435 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.435 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.435 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.435 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.435 * [taylor]: Taking taylor expansion of y in y 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (* 1 1) into 1 1.436 * [backup-simplify]: Simplify (* 1 1) into 1 1.436 * [backup-simplify]: Simplify (/ 1 1) into 1 1.436 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.436 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.436 * [taylor]: Taking taylor expansion of x in y 1.436 * [backup-simplify]: Simplify x into x 1.436 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.436 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.436 * [taylor]: Taking taylor expansion of y in y 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (* 1 1) into 1 1.437 * [backup-simplify]: Simplify (/ 1 1) into 1 1.437 * [backup-simplify]: Simplify (- 1) into -1 1.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.437 * [backup-simplify]: Simplify (- 1) into -1 1.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.438 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.438 * [backup-simplify]: Simplify (sqrt 1) into 1 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.442 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.442 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.442 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.442 * [taylor]: Taking taylor expansion of x in y 1.442 * [backup-simplify]: Simplify x into x 1.442 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.442 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.442 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.443 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.443 * [taylor]: Taking taylor expansion of y in y 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (/ 1 1) into 1 1.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.443 * [taylor]: Taking taylor expansion of x in y 1.443 * [backup-simplify]: Simplify x into x 1.443 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.444 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (* 1 1) into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [backup-simplify]: Simplify (- 1) into -1 1.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.445 * [backup-simplify]: Simplify (- 1) into -1 1.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.445 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.445 * [backup-simplify]: Simplify (sqrt 1) into 1 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (- 0) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.454 * [taylor]: Taking taylor expansion of 1 in x 1.454 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of 0 in x 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.459 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow x 2)) 1.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 1.460 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 1.460 * [taylor]: Taking taylor expansion of 1/2 in x 1.460 * [backup-simplify]: Simplify 1/2 into 1/2 1.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (* 1 1) into 1 1.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (- 0) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow x 2)) -1)) (* (/ 1 (pow x 2)) (/ 0 -1)))) into 0 1.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 1.466 * [taylor]: Taking taylor expansion of 0 in x 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 1.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.468 * [backup-simplify]: Simplify (+ (* (- (pow y 3)) y) (pow x 4)) into (- (pow x 4) (pow y 4)) 1.468 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (y x) around 0 1.468 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.468 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.468 * [taylor]: Taking taylor expansion of y in x 1.468 * [backup-simplify]: Simplify y into y 1.468 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.468 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.468 * [taylor]: Taking taylor expansion of x in y 1.468 * [backup-simplify]: Simplify x into x 1.468 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.468 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.468 * [taylor]: Taking taylor expansion of x in y 1.468 * [backup-simplify]: Simplify x into x 1.468 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.469 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.469 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.469 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.469 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [taylor]: Taking taylor expansion of 0 in x 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.470 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [taylor]: Taking taylor expansion of 0 in x 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [taylor]: Taking taylor expansion of 0 in x 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (+ (* (- (pow (/ 1 y) 3)) (/ 1 y)) (pow (/ 1 x) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1.472 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 1.472 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.472 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.473 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.473 * [backup-simplify]: Simplify y into y 1.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.473 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.473 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.473 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.473 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.473 * [taylor]: Taking taylor expansion of x in y 1.473 * [backup-simplify]: Simplify x into x 1.473 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.474 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.474 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.474 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.474 * [taylor]: Taking taylor expansion of y in y 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.475 * [backup-simplify]: Simplify (/ 1 1) into 1 1.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.475 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.475 * [taylor]: Taking taylor expansion of x in y 1.475 * [backup-simplify]: Simplify x into x 1.475 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.475 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.475 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.475 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.475 * [taylor]: Taking taylor expansion of y in y 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (/ 1 1) into 1 1.477 * [backup-simplify]: Simplify (- 1) into -1 1.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.477 * [taylor]: Taking taylor expansion of -1 in x 1.477 * [backup-simplify]: Simplify -1 into -1 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in x 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [taylor]: Taking taylor expansion of 0 in x 1.483 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [taylor]: Taking taylor expansion of 0 in x 1.486 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.489 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify -1 into -1 1.491 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.491 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (- 0) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [taylor]: Taking taylor expansion of 0 in x 1.494 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.497 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [taylor]: Taking taylor expansion of 0 in x 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 4))) into (- (pow x 4) (pow y 4)) 1.504 * [backup-simplify]: Simplify (+ (* (- (pow (/ 1 (- y)) 3)) (/ 1 (- y))) (pow (/ 1 (- x)) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1.504 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 1.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.504 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.505 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.506 * [backup-simplify]: Simplify y into y 1.506 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.506 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.506 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.506 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.506 * [taylor]: Taking taylor expansion of x in y 1.506 * [backup-simplify]: Simplify x into x 1.506 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.506 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.506 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.506 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (/ 1 1) into 1 1.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.508 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.508 * [taylor]: Taking taylor expansion of x in y 1.508 * [backup-simplify]: Simplify x into x 1.508 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.508 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.508 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.508 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.508 * [taylor]: Taking taylor expansion of y in y 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.509 * [backup-simplify]: Simplify (- 1) into -1 1.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.510 * [taylor]: Taking taylor expansion of -1 in x 1.510 * [backup-simplify]: Simplify -1 into -1 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (- 0) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [taylor]: Taking taylor expansion of 0 in x 1.512 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [taylor]: Taking taylor expansion of 0 in x 1.515 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [taylor]: Taking taylor expansion of 0 in x 1.518 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.521 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (* 1 1) into 1 1.522 * [backup-simplify]: Simplify (* 1 1) into 1 1.522 * [backup-simplify]: Simplify (/ 1 1) into 1 1.522 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify -1 into -1 1.523 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.523 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in x 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.530 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [taylor]: Taking taylor expansion of 0 in x 1.535 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 4))) into (- (pow x 4) (pow y 4)) 1.538 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.538 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 1.538 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 1.538 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.538 * [taylor]: Taking taylor expansion of x in y 1.538 * [backup-simplify]: Simplify x into x 1.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.539 * [backup-simplify]: Simplify y into y 1.539 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.539 * [backup-simplify]: Simplify y into y 1.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.539 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.539 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.539 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in y 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.541 * [backup-simplify]: Simplify (- 0) into 0 1.542 * [backup-simplify]: Simplify (+ 1 0) into 1 1.542 * [taylor]: Taking taylor expansion of 1 in y 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.543 * [backup-simplify]: Simplify (- 1) into -1 1.543 * [backup-simplify]: Simplify -1 into -1 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.544 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.544 * [backup-simplify]: Simplify (- 0) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [taylor]: Taking taylor expansion of 0 in y 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- 0) into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.548 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 1.549 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.549 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.549 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.550 * [taylor]: Taking taylor expansion of x in y 1.550 * [backup-simplify]: Simplify x into x 1.550 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.550 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (* 1 1) into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (/ 1 1) into 1 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.552 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.552 * [taylor]: Taking taylor expansion of y in x 1.552 * [backup-simplify]: Simplify y into y 1.552 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.552 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.552 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.553 * [backup-simplify]: Simplify (/ 1 1) into 1 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.553 * [taylor]: Taking taylor expansion of y in x 1.553 * [backup-simplify]: Simplify y into y 1.553 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.553 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.554 * [backup-simplify]: Simplify (+ 1 0) into 1 1.554 * [taylor]: Taking taylor expansion of 1 in y 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [taylor]: Taking taylor expansion of 0 in y 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.558 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.558 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (/ 1 1) into 1 1.559 * [backup-simplify]: Simplify (- 1) into -1 1.559 * [backup-simplify]: Simplify -1 into -1 1.559 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [taylor]: Taking taylor expansion of 0 in y 1.562 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [taylor]: Taking taylor expansion of 0 in y 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (- 0) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 1.571 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.571 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.571 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.571 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.572 * [taylor]: Taking taylor expansion of x in y 1.572 * [backup-simplify]: Simplify x into x 1.572 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.572 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (* 1 1) into 1 1.573 * [backup-simplify]: Simplify (/ 1 1) into 1 1.573 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.581 * [taylor]: Taking taylor expansion of y in x 1.581 * [backup-simplify]: Simplify y into y 1.581 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.581 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (* 1 1) into 1 1.582 * [backup-simplify]: Simplify (/ 1 1) into 1 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.582 * [taylor]: Taking taylor expansion of y in x 1.582 * [backup-simplify]: Simplify y into y 1.583 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.583 * [backup-simplify]: Simplify (+ 1 0) into 1 1.583 * [taylor]: Taking taylor expansion of 1 in y 1.583 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [taylor]: Taking taylor expansion of 0 in y 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.587 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.587 * [taylor]: Taking taylor expansion of y in y 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (* 1 1) into 1 1.588 * [backup-simplify]: Simplify (/ 1 1) into 1 1.589 * [backup-simplify]: Simplify (- 1) into -1 1.589 * [backup-simplify]: Simplify -1 into -1 1.589 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [taylor]: Taking taylor expansion of 0 in y 1.592 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 1.601 * * * [progress]: simplifying candidates 1.604 * [simplify]: Simplifying: (- (log (+ (* (- (pow y 3)) y) (pow x 4))) (log (- (* x x) (* y y)))) (log (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (exp (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (* (* (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (- (+ (* (- (pow y 3)) y) (pow x 4))) (- (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (sqrt (- (* x x) (* y y)))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) 1) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (+ x y)) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) 1) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (cbrt (- (* x x) (* y y)))) (/ 1 (sqrt (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y)))) (/ 1 1) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) (/ 1 (+ x y)) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- x y)) (/ 1 (- (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* (- (pow y 3)) y) (pow x 4))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) 1) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (+ x y)) (/ (- (* x x) (* y y)) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (- (* x x) (* y y)) (sqrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (- (* x x) (* y y)) (+ (* (- (pow y 3)) y) (pow x 4))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (pow (* x x) 3) (pow (* y y) 3))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- (* x x) (* y y)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4))))) (* (- (* x x) (* y y)) (- (* (- (pow y 3)) y) (pow x 4))) (log (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (exp (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (* (cbrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (cbrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))))) (cbrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (* (* (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (sqrt (* (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))))) (sqrt (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (sqrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (sqrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (sqrt (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))) (sqrt (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y))))) (sqrt (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (sqrt (- (* x x) (* y y))))) (sqrt (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y))))) (sqrt (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) 1)) (sqrt (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y)))) (sqrt (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (+ x y))) (sqrt (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y))))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y))))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y))))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) 1)) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y)))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ x y))) (sqrt (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y))) (sqrt (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (cbrt (- (* x x) (* y y))))) (sqrt (/ 1 (sqrt (- (* x x) (* y y))))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y))))) (sqrt (/ 1 1)) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ 1 (+ x y))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- x y))) (sqrt 1) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (/ 1 (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (sqrt (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (* (exp (* (- (pow y 3)) y)) (exp (pow x 4))) (log (+ (* (- (pow y 3)) y) (pow x 4))) (exp (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ (pow (* (- (pow y 3)) y) 3) (pow (pow x 4) 3)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4)))) (- (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (* (pow x 4) (pow x 4))) (- (* (- (pow y 3)) y) (pow x 4)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 2.260 * * * [progress]: adding candidates to table 2.578 * * [progress]: iteration 3 / 4 2.578 * * * [progress]: picking best candidate 2.585 * * * * [pick]: Picked # 2.585 * * * [progress]: localizing error 2.587 * * * [progress]: generating rewritten candidates 2.587 * * * [progress]: generating series expansions 2.587 * * * [progress]: simplifying candidates 2.587 * [simplify]: Simplifying: 2.602 * * * [progress]: adding candidates to table 2.602 * * [progress]: iteration 4 / 4 2.602 * * * [progress]: picking best candidate 2.606 * * * * [pick]: Picked # 2.606 * * * [progress]: localizing error 2.607 * * * [progress]: generating rewritten candidates 2.607 * * * [progress]: generating series expansions 2.607 * * * [progress]: simplifying candidates 2.607 * [simplify]: Simplifying: 2.623 * * * [progress]: adding candidates to table 2.623 * [progress]: [Phase 3 of 3] Extracting. 2.623 * * [regime]: Finding splitpoints for: (# # # # # #) 2.624 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 2.624 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.654 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 2.680 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.721 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 2.754 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 2.791 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 2.826 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.860 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.894 * * * [regime]: Found split indices: #