34.692 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.030 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.030 * * [simplify]: Extracting # 1 : cost 2 inf + 0 0.030 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.030 * * [simplify]: Extracting # 3 : cost 6 inf + 0 0.030 * * [simplify]: Extracting # 4 : cost 3 inf + 43 0.030 * * [simplify]: Extracting # 5 : cost 0 inf + 368 0.031 * * [simplify]: iteration 0 : 6 enodes (cost 162 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 inf + 368 0.032 * * [simplify]: iteration 1 : 7 enodes (cost 162 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 inf + 368 0.034 * * [simplify]: iteration done: 7 enodes (cost 162 ) 0.034 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.086 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.086 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.087 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.087 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.087 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.088 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.088 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.089 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.090 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.090 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 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 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.093 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.093 * [taylor]: Taking taylor expansion of 1/2 in y 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.098 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.098 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [backup-simplify]: Simplify (sqrt 1) into 1 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [backup-simplify]: Simplify y into y 0.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (+ 0 1) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.112 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.115 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of 1/2 in y 0.115 * [backup-simplify]: Simplify 1/2 into 1/2 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.124 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (sqrt 1) into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.130 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ 0 1) into 1 0.132 * [backup-simplify]: Simplify (sqrt 1) into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.143 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of 1/2 in y 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.145 * [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 0.146 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) 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 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.159 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.160 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.160 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.161 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (+ 0 1) into 1 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.170 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.170 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [backup-simplify]: Simplify x into x 0.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 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)) 0.171 * [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 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify 1 into 1 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 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.182 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [backup-simplify]: Simplify x into x 0.183 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.183 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.183 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [backup-simplify]: Simplify y into y 0.184 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.194 * * * [progress]: simplifying candidates 0.194 * [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 y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.195 * * [simplify]: Extracting # 0 : cost 29 inf + 0 0.195 * * [simplify]: Extracting # 1 : cost 44 inf + 2 0.195 * * [simplify]: Extracting # 2 : cost 35 inf + 736 0.195 * * [simplify]: Extracting # 3 : cost 12 inf + 5310 0.196 * * [simplify]: Extracting # 4 : cost 1 inf + 8344 0.197 * * [simplify]: Extracting # 5 : cost 0 inf + 8666 0.197 * * [simplify]: iteration 0 : 48 enodes (cost 8314 ) 0.213 * * [simplify]: Extracting # 0 : cost 0 inf + 8666 0.215 * * [simplify]: Extracting # 1 : cost 39 inf + 7053 0.218 * * [simplify]: Extracting # 2 : cost 5 inf + 11290 0.221 * * [simplify]: Extracting # 3 : cost 4 inf + 11061 0.224 * * [simplify]: Extracting # 4 : cost 0 inf + 12029 0.226 * * [simplify]: iteration 1 : 142 enodes (cost 6457 ) 0.298 * * [simplify]: Extracting # 0 : cost 0 inf + 12029 0.300 * * [simplify]: Extracting # 1 : cost 264 inf + 9280 0.306 * * [simplify]: Extracting # 2 : cost 11 inf + 39239 0.313 * * [simplify]: Extracting # 3 : cost 4 inf + 39982 0.319 * * [simplify]: Extracting # 4 : cost 0 inf + 41200 0.330 * * [simplify]: iteration 2 : 770 enodes (cost 6457 ) 0.580 * * [simplify]: Extracting # 0 : cost 0 inf + 41200 0.618 * * [simplify]: Extracting # 1 : cost 2163 inf + 34057 0.680 * * [simplify]: Extracting # 2 : cost 136 inf + 315005 0.749 * * [simplify]: Extracting # 3 : cost 47 inf + 327072 0.861 * * [simplify]: Extracting # 4 : cost 0 inf + 340355 0.944 * * [simplify]: iteration done: 5000 enodes (cost 6457 ) 0.945 * [simplify]: Simplified to: (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))) (+ (* x x) (* y y))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y))))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))) (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) (* 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))) (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y)))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.947 * * * [progress]: adding candidates to table 1.128 * * [progress]: iteration 2 / 4 1.128 * * * [progress]: picking best candidate 1.157 * * * * [pick]: Picked # 1.157 * * * [progress]: localizing error 1.210 * * * [progress]: generating rewritten candidates 1.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.218 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.226 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.306 * * * [progress]: generating series expansions 1.306 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.306 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.306 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.306 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.306 * [taylor]: Taking taylor expansion of 1/3 in y 1.306 * [backup-simplify]: Simplify 1/3 into 1/3 1.306 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.306 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.306 * [taylor]: Taking taylor expansion of x in y 1.306 * [backup-simplify]: Simplify x into x 1.306 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.307 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.307 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.307 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.307 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.307 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.307 * [taylor]: Taking taylor expansion of 1/3 in x 1.307 * [backup-simplify]: Simplify 1/3 into 1/3 1.307 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.307 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.307 * [backup-simplify]: Simplify y into y 1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.307 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.307 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.307 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.308 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.308 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.308 * [taylor]: Taking taylor expansion of 1/3 in x 1.308 * [backup-simplify]: Simplify 1/3 into 1/3 1.308 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.308 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.308 * [backup-simplify]: Simplify y into y 1.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.308 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.308 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.308 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.308 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.308 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.308 * [taylor]: Taking taylor expansion of 1/3 in y 1.308 * [backup-simplify]: Simplify 1/3 into 1/3 1.308 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.308 * [taylor]: Taking taylor expansion of y in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (log 1) into 0 1.309 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.309 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.310 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.310 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.310 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.311 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.311 * [taylor]: Taking taylor expansion of 0 in y 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.313 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.314 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.315 * [backup-simplify]: Simplify (* 1 1) into 1 1.315 * [backup-simplify]: Simplify (+ 0 1) into 1 1.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.316 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.317 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.317 * [taylor]: Taking taylor expansion of 1/3 in y 1.317 * [backup-simplify]: Simplify 1/3 into 1/3 1.317 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.317 * [taylor]: Taking taylor expansion of 1/3 in y 1.317 * [backup-simplify]: Simplify 1/3 into 1/3 1.317 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.317 * [taylor]: Taking taylor expansion of (pow y 4) 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 1) into 1 1.318 * [backup-simplify]: Simplify (log 1) into 0 1.319 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.319 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.319 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.319 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.319 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.321 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.323 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.334 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.335 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.342 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.345 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.346 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.346 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.346 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.346 * [taylor]: Taking taylor expansion of 1/3 in y 1.346 * [backup-simplify]: Simplify 1/3 into 1/3 1.346 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.347 * [backup-simplify]: Simplify (/ 1 1) into 1 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.347 * [taylor]: Taking taylor expansion of (pow x 2) 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 (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.347 * [backup-simplify]: Simplify (+ 1 0) into 1 1.348 * [backup-simplify]: Simplify (log 1) into 0 1.348 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.348 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.348 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.348 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.348 * [taylor]: Taking taylor expansion of 1/3 in x 1.348 * [backup-simplify]: Simplify 1/3 into 1/3 1.348 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.348 * [taylor]: Taking taylor expansion of y in x 1.349 * [backup-simplify]: Simplify y into y 1.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (* 1 1) into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.350 * [backup-simplify]: Simplify (+ 0 1) into 1 1.350 * [backup-simplify]: Simplify (log 1) into 0 1.351 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.351 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.351 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.351 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.351 * [taylor]: Taking taylor expansion of 1/3 in x 1.351 * [backup-simplify]: Simplify 1/3 into 1/3 1.351 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.351 * [taylor]: Taking taylor expansion of y in x 1.351 * [backup-simplify]: Simplify y into y 1.351 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.351 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.351 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 1.353 * [backup-simplify]: Simplify (log 1) into 0 1.353 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.354 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.354 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.354 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.354 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.354 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.354 * [taylor]: Taking taylor expansion of -2/3 in y 1.354 * [backup-simplify]: Simplify -2/3 into -2/3 1.354 * [taylor]: Taking taylor expansion of (log x) in y 1.354 * [taylor]: Taking taylor expansion of x in y 1.354 * [backup-simplify]: Simplify x into x 1.354 * [backup-simplify]: Simplify (log x) into (log x) 1.354 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.354 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.354 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.357 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.361 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.361 * [taylor]: Taking taylor expansion of 0 in y 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.363 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.363 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.368 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.369 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.370 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.370 * [taylor]: Taking taylor expansion of 1/3 in y 1.370 * [backup-simplify]: Simplify 1/3 into 1/3 1.370 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.370 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.370 * [taylor]: Taking taylor expansion of 1/3 in y 1.370 * [backup-simplify]: Simplify 1/3 into 1/3 1.370 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.370 * [taylor]: Taking taylor expansion of x in y 1.370 * [backup-simplify]: Simplify x into x 1.370 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.371 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.371 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.371 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.371 * [taylor]: Taking taylor expansion of y in y 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (/ 1 1) into 1 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.379 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.382 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.384 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.385 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.386 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.390 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.391 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.399 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.402 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.402 * [taylor]: Taking taylor expansion of 0 in y 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.403 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.403 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.403 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.403 * [taylor]: Taking taylor expansion of 1/3 in y 1.403 * [backup-simplify]: Simplify 1/3 into 1/3 1.403 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (* 1 1) into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.404 * [taylor]: Taking taylor expansion of x in y 1.404 * [backup-simplify]: Simplify x into x 1.404 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.404 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.405 * [backup-simplify]: Simplify (+ 1 0) into 1 1.405 * [backup-simplify]: Simplify (log 1) into 0 1.406 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.406 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.406 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.406 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.406 * [taylor]: Taking taylor expansion of 1/3 in x 1.406 * [backup-simplify]: Simplify 1/3 into 1/3 1.406 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.406 * [taylor]: Taking taylor expansion of y in x 1.406 * [backup-simplify]: Simplify y into y 1.406 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.407 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [backup-simplify]: Simplify (+ 0 1) into 1 1.408 * [backup-simplify]: Simplify (log 1) into 0 1.409 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.409 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.409 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.409 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.409 * [taylor]: Taking taylor expansion of 1/3 in x 1.409 * [backup-simplify]: Simplify 1/3 into 1/3 1.409 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [backup-simplify]: Simplify y into y 1.410 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [backup-simplify]: Simplify (+ 0 1) into 1 1.411 * [backup-simplify]: Simplify (log 1) into 0 1.412 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.412 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.412 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.412 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.412 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.412 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.412 * [taylor]: Taking taylor expansion of -2/3 in y 1.412 * [backup-simplify]: Simplify -2/3 into -2/3 1.412 * [taylor]: Taking taylor expansion of (log x) in y 1.412 * [taylor]: Taking taylor expansion of x in y 1.412 * [backup-simplify]: Simplify x into x 1.412 * [backup-simplify]: Simplify (log x) into (log x) 1.413 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.413 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.413 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.417 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.418 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.418 * [taylor]: Taking taylor expansion of 0 in y 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.420 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.420 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.425 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.426 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.427 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.427 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.427 * [taylor]: Taking taylor expansion of 1/3 in y 1.427 * [backup-simplify]: Simplify 1/3 into 1/3 1.427 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.427 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.427 * [taylor]: Taking taylor expansion of 1/3 in y 1.427 * [backup-simplify]: Simplify 1/3 into 1/3 1.427 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.427 * [taylor]: Taking taylor expansion of x in y 1.427 * [backup-simplify]: Simplify x into x 1.427 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.428 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.428 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.428 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.438 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.441 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.445 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.446 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.451 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.453 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.453 * [taylor]: Taking taylor expansion of 0 in y 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.453 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.453 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.453 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.453 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.453 * [taylor]: Taking taylor expansion of 1/3 in y 1.453 * [backup-simplify]: Simplify 1/3 into 1/3 1.453 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.453 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.453 * [taylor]: Taking taylor expansion of x in y 1.453 * [backup-simplify]: Simplify x into x 1.453 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.453 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.453 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.454 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.454 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.454 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.454 * [taylor]: Taking taylor expansion of 1/3 in x 1.454 * [backup-simplify]: Simplify 1/3 into 1/3 1.454 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.454 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.454 * [taylor]: Taking taylor expansion of y in x 1.454 * [backup-simplify]: Simplify y into y 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.454 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.454 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.454 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.454 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.454 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.454 * [taylor]: Taking taylor expansion of 1/3 in x 1.454 * [backup-simplify]: Simplify 1/3 into 1/3 1.454 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.455 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.455 * [taylor]: Taking taylor expansion of y in x 1.455 * [backup-simplify]: Simplify y into y 1.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.455 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.455 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.455 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.455 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.455 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.455 * [taylor]: Taking taylor expansion of 1/3 in y 1.455 * [backup-simplify]: Simplify 1/3 into 1/3 1.455 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (* 1 1) into 1 1.456 * [backup-simplify]: Simplify (log 1) into 0 1.456 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.456 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.456 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.456 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.456 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.458 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.460 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.460 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.460 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.461 * [backup-simplify]: Simplify (* 1 1) into 1 1.461 * [backup-simplify]: Simplify (+ 0 1) into 1 1.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.463 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.463 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.463 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.464 * [taylor]: Taking taylor expansion of 1/3 in y 1.464 * [backup-simplify]: Simplify 1/3 into 1/3 1.464 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.464 * [taylor]: Taking taylor expansion of 1/3 in y 1.464 * [backup-simplify]: Simplify 1/3 into 1/3 1.464 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.464 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.464 * [taylor]: Taking taylor expansion of y in y 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.465 * [backup-simplify]: Simplify (/ 1 1) into 1 1.465 * [backup-simplify]: Simplify (log 1) into 0 1.465 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.465 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.465 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.465 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.466 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.468 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.470 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.475 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.475 * [taylor]: Taking taylor expansion of 0 in y 1.475 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.478 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.479 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.483 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.483 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.484 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.485 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.485 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.485 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.485 * [taylor]: Taking taylor expansion of 1/3 in y 1.485 * [backup-simplify]: Simplify 1/3 into 1/3 1.485 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.485 * [taylor]: Taking taylor expansion of y in y 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.486 * [taylor]: Taking taylor expansion of x in y 1.486 * [backup-simplify]: Simplify x into x 1.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.486 * [backup-simplify]: Simplify (+ 1 0) into 1 1.486 * [backup-simplify]: Simplify (log 1) into 0 1.487 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.487 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.487 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.487 * [taylor]: Taking taylor expansion of 1/3 in x 1.487 * [backup-simplify]: Simplify 1/3 into 1/3 1.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.487 * [taylor]: Taking taylor expansion of y in x 1.487 * [backup-simplify]: Simplify y into y 1.487 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.487 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [backup-simplify]: Simplify (+ 0 1) into 1 1.488 * [backup-simplify]: Simplify (log 1) into 0 1.488 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.488 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.488 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.488 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.489 * [taylor]: Taking taylor expansion of 1/3 in x 1.489 * [backup-simplify]: Simplify 1/3 into 1/3 1.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.489 * [taylor]: Taking taylor expansion of y in x 1.489 * [backup-simplify]: Simplify y into y 1.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [backup-simplify]: Simplify (+ 0 1) into 1 1.491 * [backup-simplify]: Simplify (log 1) into 0 1.492 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.492 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.492 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.492 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.492 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.492 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.492 * [taylor]: Taking taylor expansion of -2/3 in y 1.492 * [backup-simplify]: Simplify -2/3 into -2/3 1.492 * [taylor]: Taking taylor expansion of (log x) in y 1.492 * [taylor]: Taking taylor expansion of x in y 1.492 * [backup-simplify]: Simplify x into x 1.492 * [backup-simplify]: Simplify (log x) into (log x) 1.492 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.492 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.492 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.494 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.495 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.495 * [taylor]: Taking taylor expansion of 0 in y 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.496 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.496 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.500 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.500 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.501 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.501 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.501 * [taylor]: Taking taylor expansion of 1/3 in y 1.501 * [backup-simplify]: Simplify 1/3 into 1/3 1.501 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.501 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.501 * [taylor]: Taking taylor expansion of 1/3 in y 1.501 * [backup-simplify]: Simplify 1/3 into 1/3 1.502 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [backup-simplify]: Simplify x into x 1.502 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.502 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.502 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.502 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.502 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* 1 1) into 1 1.503 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.515 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.516 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.520 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.521 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.529 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.532 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.532 * [taylor]: Taking taylor expansion of 0 in y 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.533 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.533 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.533 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.533 * [taylor]: Taking taylor expansion of 1/3 in y 1.533 * [backup-simplify]: Simplify 1/3 into 1/3 1.533 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.533 * [taylor]: Taking taylor expansion of y in y 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.534 * [taylor]: Taking taylor expansion of x in y 1.534 * [backup-simplify]: Simplify x into x 1.534 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.535 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.535 * [backup-simplify]: Simplify (+ 1 0) into 1 1.535 * [backup-simplify]: Simplify (log 1) into 0 1.536 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.536 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.536 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.536 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.536 * [taylor]: Taking taylor expansion of 1/3 in x 1.536 * [backup-simplify]: Simplify 1/3 into 1/3 1.536 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.537 * [taylor]: Taking taylor expansion of y in x 1.537 * [backup-simplify]: Simplify y into y 1.537 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [backup-simplify]: Simplify (+ 0 1) into 1 1.539 * [backup-simplify]: Simplify (log 1) into 0 1.539 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.540 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.540 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.540 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.540 * [taylor]: Taking taylor expansion of 1/3 in x 1.540 * [backup-simplify]: Simplify 1/3 into 1/3 1.540 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [backup-simplify]: Simplify y into y 1.540 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.541 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [backup-simplify]: Simplify (+ 0 1) into 1 1.543 * [backup-simplify]: Simplify (log 1) into 0 1.543 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.543 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.544 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.544 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.544 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.544 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.544 * [taylor]: Taking taylor expansion of -2/3 in y 1.544 * [backup-simplify]: Simplify -2/3 into -2/3 1.544 * [taylor]: Taking taylor expansion of (log x) in y 1.544 * [taylor]: Taking taylor expansion of x in y 1.544 * [backup-simplify]: Simplify x into x 1.544 * [backup-simplify]: Simplify (log x) into (log x) 1.544 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.544 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.544 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.546 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.548 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.549 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.551 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.552 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.556 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.557 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.558 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.558 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.558 * [taylor]: Taking taylor expansion of 1/3 in y 1.558 * [backup-simplify]: Simplify 1/3 into 1/3 1.558 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.558 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.558 * [taylor]: Taking taylor expansion of 1/3 in y 1.558 * [backup-simplify]: Simplify 1/3 into 1/3 1.558 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [backup-simplify]: Simplify x into x 1.558 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.559 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.559 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.559 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.559 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.560 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.571 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.573 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.573 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.577 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.578 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.585 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.586 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.589 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.589 * [taylor]: Taking taylor expansion of 0 in y 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.589 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.589 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.589 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.589 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.589 * [taylor]: Taking taylor expansion of 1/3 in y 1.589 * [backup-simplify]: Simplify 1/3 into 1/3 1.589 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.590 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.590 * [taylor]: Taking taylor expansion of x in y 1.590 * [backup-simplify]: Simplify x into x 1.590 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.590 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.590 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.590 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.590 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.590 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.591 * [taylor]: Taking taylor expansion of 1/3 in x 1.591 * [backup-simplify]: Simplify 1/3 into 1/3 1.591 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.591 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.591 * [taylor]: Taking taylor expansion of y in x 1.591 * [backup-simplify]: Simplify y into y 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.591 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.591 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.591 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.592 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.592 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.592 * [taylor]: Taking taylor expansion of 1/3 in x 1.592 * [backup-simplify]: Simplify 1/3 into 1/3 1.592 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.592 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.592 * [backup-simplify]: Simplify y into y 1.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.592 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.592 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.592 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.593 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.593 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.593 * [taylor]: Taking taylor expansion of 1/3 in y 1.593 * [backup-simplify]: Simplify 1/3 into 1/3 1.593 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.593 * [taylor]: Taking taylor expansion of y in y 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (log 1) into 0 1.594 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.595 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.595 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.595 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.595 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.598 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.600 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.602 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (+ 0 1) into 1 1.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.606 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.607 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.607 * [taylor]: Taking taylor expansion of 1/3 in y 1.607 * [backup-simplify]: Simplify 1/3 into 1/3 1.607 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.607 * [taylor]: Taking taylor expansion of 1/3 in y 1.607 * [backup-simplify]: Simplify 1/3 into 1/3 1.607 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.607 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.608 * [backup-simplify]: Simplify (/ 1 1) into 1 1.608 * [backup-simplify]: Simplify (log 1) into 0 1.608 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.608 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.608 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.608 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.609 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.611 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.611 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.612 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.618 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.618 * [taylor]: Taking taylor expansion of 0 in y 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.620 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.621 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.626 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.629 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.630 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.630 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.630 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.630 * [taylor]: Taking taylor expansion of 1/3 in y 1.630 * [backup-simplify]: Simplify 1/3 into 1/3 1.630 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.630 * [taylor]: Taking taylor expansion of y in y 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (* 1 1) into 1 1.631 * [backup-simplify]: Simplify (/ 1 1) into 1 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.631 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.631 * [taylor]: Taking taylor expansion of x in y 1.631 * [backup-simplify]: Simplify x into x 1.631 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.631 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.631 * [backup-simplify]: Simplify (+ 1 0) into 1 1.631 * [backup-simplify]: Simplify (log 1) into 0 1.632 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.632 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.632 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.632 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.632 * [taylor]: Taking taylor expansion of 1/3 in x 1.632 * [backup-simplify]: Simplify 1/3 into 1/3 1.632 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.632 * [backup-simplify]: Simplify y into y 1.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.632 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify (+ 0 1) into 1 1.633 * [backup-simplify]: Simplify (log 1) into 0 1.634 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.634 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.634 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.634 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.634 * [taylor]: Taking taylor expansion of 1/3 in x 1.634 * [backup-simplify]: Simplify 1/3 into 1/3 1.634 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.634 * [taylor]: Taking taylor expansion of y in x 1.634 * [backup-simplify]: Simplify y into y 1.634 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.634 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (* 1 1) into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [backup-simplify]: Simplify (+ 0 1) into 1 1.635 * [backup-simplify]: Simplify (log 1) into 0 1.636 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.636 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.636 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.636 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.636 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.636 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.636 * [taylor]: Taking taylor expansion of -2/3 in y 1.636 * [backup-simplify]: Simplify -2/3 into -2/3 1.636 * [taylor]: Taking taylor expansion of (log x) in y 1.636 * [taylor]: Taking taylor expansion of x in y 1.636 * [backup-simplify]: Simplify x into x 1.636 * [backup-simplify]: Simplify (log x) into (log x) 1.636 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.636 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.636 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.640 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.640 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.641 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.641 * [taylor]: Taking taylor expansion of 0 in y 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.643 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.644 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.649 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.649 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.650 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.651 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.651 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.651 * [taylor]: Taking taylor expansion of 1/3 in y 1.651 * [backup-simplify]: Simplify 1/3 into 1/3 1.651 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.652 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.652 * [taylor]: Taking taylor expansion of 1/3 in y 1.652 * [backup-simplify]: Simplify 1/3 into 1/3 1.652 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.652 * [taylor]: Taking taylor expansion of x in y 1.652 * [backup-simplify]: Simplify x into x 1.652 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.652 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.652 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.652 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.653 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.653 * [taylor]: Taking taylor expansion of y in y 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (* 1 1) into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.660 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.660 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.665 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.667 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.667 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.671 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.672 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.680 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.683 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.684 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.684 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.684 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.684 * [taylor]: Taking taylor expansion of 1/3 in y 1.684 * [backup-simplify]: Simplify 1/3 into 1/3 1.684 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.684 * [taylor]: Taking taylor expansion of y in y 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.685 * [taylor]: Taking taylor expansion of x in y 1.685 * [backup-simplify]: Simplify x into x 1.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.685 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.686 * [backup-simplify]: Simplify (+ 1 0) into 1 1.686 * [backup-simplify]: Simplify (log 1) into 0 1.687 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.687 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.687 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.687 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.687 * [taylor]: Taking taylor expansion of 1/3 in x 1.687 * [backup-simplify]: Simplify 1/3 into 1/3 1.687 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.687 * [taylor]: Taking taylor expansion of y in x 1.687 * [backup-simplify]: Simplify y into y 1.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.687 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.689 * [backup-simplify]: Simplify (+ 0 1) into 1 1.689 * [backup-simplify]: Simplify (log 1) into 0 1.690 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.690 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.690 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.690 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.690 * [taylor]: Taking taylor expansion of 1/3 in x 1.690 * [backup-simplify]: Simplify 1/3 into 1/3 1.690 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [backup-simplify]: Simplify y into y 1.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [backup-simplify]: Simplify (+ 0 1) into 1 1.692 * [backup-simplify]: Simplify (log 1) into 0 1.692 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.693 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.693 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.693 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.693 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.693 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.693 * [taylor]: Taking taylor expansion of -2/3 in y 1.693 * [backup-simplify]: Simplify -2/3 into -2/3 1.693 * [taylor]: Taking taylor expansion of (log x) in y 1.693 * [taylor]: Taking taylor expansion of x in y 1.693 * [backup-simplify]: Simplify x into x 1.693 * [backup-simplify]: Simplify (log x) into (log x) 1.693 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.693 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.693 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.697 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.698 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.699 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.699 * [taylor]: Taking taylor expansion of 0 in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.700 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.701 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.705 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.705 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.706 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.707 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.707 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.707 * [taylor]: Taking taylor expansion of 1/3 in y 1.707 * [backup-simplify]: Simplify 1/3 into 1/3 1.707 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.707 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.708 * [taylor]: Taking taylor expansion of 1/3 in y 1.708 * [backup-simplify]: Simplify 1/3 into 1/3 1.708 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.708 * [taylor]: Taking taylor expansion of x in y 1.708 * [backup-simplify]: Simplify x into x 1.708 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.708 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.708 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.708 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.709 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.709 * [taylor]: Taking taylor expansion of y in y 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (* 1 1) into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.713 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.716 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.717 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.720 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.721 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.724 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.726 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.726 * [taylor]: Taking taylor expansion of 0 in y 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.727 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.727 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) into (sqrt (+ (pow y 2) (pow x 2))) 1.727 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 1.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 1.727 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.727 * [taylor]: Taking taylor expansion of y in y 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.727 * [taylor]: Taking taylor expansion of x in y 1.727 * [backup-simplify]: Simplify x into x 1.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.727 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.727 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.727 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.728 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.728 * [taylor]: Taking taylor expansion of y in x 1.728 * [backup-simplify]: Simplify y into y 1.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.728 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.728 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.728 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.729 * [taylor]: Taking taylor expansion of y in x 1.729 * [backup-simplify]: Simplify y into y 1.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.729 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.729 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.729 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.729 * [taylor]: Taking taylor expansion of y in y 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [taylor]: Taking taylor expansion of 0 in y 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.730 * [backup-simplify]: Simplify (* 1 1) into 1 1.731 * [backup-simplify]: Simplify (+ 0 1) into 1 1.731 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.731 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.731 * [taylor]: Taking taylor expansion of 1/2 in y 1.731 * [backup-simplify]: Simplify 1/2 into 1/2 1.731 * [taylor]: Taking taylor expansion of y in y 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.733 * [taylor]: Taking taylor expansion of 0 in y 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.735 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.735 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.735 * [taylor]: Taking taylor expansion of y in y 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.736 * [backup-simplify]: Simplify (/ 1 1) into 1 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.736 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.736 * [taylor]: Taking taylor expansion of x in y 1.736 * [backup-simplify]: Simplify x into x 1.736 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.736 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.737 * [backup-simplify]: Simplify (+ 1 0) into 1 1.737 * [backup-simplify]: Simplify (sqrt 1) into 1 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.740 * [taylor]: Taking taylor expansion of y in x 1.740 * [backup-simplify]: Simplify y into y 1.740 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.740 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (* 1 1) into 1 1.741 * [backup-simplify]: Simplify (/ 1 1) into 1 1.741 * [backup-simplify]: Simplify (+ 0 1) into 1 1.742 * [backup-simplify]: Simplify (sqrt 1) into 1 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.744 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.744 * [taylor]: Taking taylor expansion of y in x 1.745 * [backup-simplify]: Simplify y into y 1.745 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.745 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (* 1 1) into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [backup-simplify]: Simplify (+ 0 1) into 1 1.746 * [backup-simplify]: Simplify (sqrt 1) into 1 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.749 * [taylor]: Taking taylor expansion of 1 in y 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of 0 in y 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.753 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.753 * [taylor]: Taking taylor expansion of 1/2 in y 1.753 * [backup-simplify]: Simplify 1/2 into 1/2 1.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.753 * [taylor]: Taking taylor expansion of y in y 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (* 1 1) into 1 1.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in y 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.762 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.762 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (* 1 1) into 1 1.766 * [backup-simplify]: Simplify (/ 1 1) into 1 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.766 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.766 * [taylor]: Taking taylor expansion of x in y 1.766 * [backup-simplify]: Simplify x into x 1.766 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.767 * [backup-simplify]: Simplify (sqrt 1) into 1 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.769 * [taylor]: Taking taylor expansion of y in x 1.769 * [backup-simplify]: Simplify y into y 1.770 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.770 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (* 1 1) into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (+ 0 1) into 1 1.771 * [backup-simplify]: Simplify (sqrt 1) into 1 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.774 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.774 * [taylor]: Taking taylor expansion of y in x 1.774 * [backup-simplify]: Simplify y into y 1.774 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.774 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (* 1 1) into 1 1.775 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [backup-simplify]: Simplify (+ 0 1) into 1 1.776 * [backup-simplify]: Simplify (sqrt 1) into 1 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.778 * [taylor]: Taking taylor expansion of 1 in y 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [taylor]: Taking taylor expansion of 0 in y 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.781 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.781 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.781 * [taylor]: Taking taylor expansion of 1/2 in y 1.781 * [backup-simplify]: Simplify 1/2 into 1/2 1.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.781 * [taylor]: Taking taylor expansion of y in y 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (* 1 1) into 1 1.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.784 * [taylor]: Taking taylor expansion of 0 in y 1.784 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.786 * * * [progress]: simplifying candidates 1.788 * [simplify]: Simplifying: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (exp (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (cbrt (sqrt (* (* (cbrt (+ 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x) (* y y))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) 1.790 * * [simplify]: Extracting # 0 : cost 75 inf + 0 1.790 * * [simplify]: Extracting # 1 : cost 135 inf + 2 1.791 * * [simplify]: Extracting # 2 : cost 145 inf + 468 1.791 * * [simplify]: Extracting # 3 : cost 119 inf + 3718 1.792 * * [simplify]: Extracting # 4 : cost 100 inf + 9289 1.794 * * [simplify]: Extracting # 5 : cost 80 inf + 18675 1.798 * * [simplify]: Extracting # 6 : cost 42 inf + 48661 1.804 * * [simplify]: Extracting # 7 : cost 16 inf + 66103 1.810 * * [simplify]: Extracting # 8 : cost 5 inf + 72047 1.820 * * [simplify]: Extracting # 9 : cost 2 inf + 73829 1.826 * * [simplify]: Extracting # 10 : cost 0 inf + 75592 1.832 * * [simplify]: iteration 0 : 164 enodes (cost 56856 ) 1.882 * * [simplify]: Extracting # 0 : cost 0 inf + 75592 1.895 * * [simplify]: Extracting # 1 : cost 29 inf + 36191 1.900 * * [simplify]: Extracting # 2 : cost 3 inf + 39277 1.906 * * [simplify]: Extracting # 3 : cost 2 inf + 36148 1.913 * * [simplify]: Extracting # 4 : cost 0 inf + 35490 1.925 * * [simplify]: Extracting # 5 : cost 0 inf + 34869 1.936 * * [simplify]: Extracting # 6 : cost 0 inf + 34709 1.948 * * [simplify]: iteration 1 : 305 enodes (cost 46475 ) 2.033 * * [simplify]: Extracting # 0 : cost 0 inf + 34709 2.047 * * [simplify]: Extracting # 1 : cost 133 inf + 33104 2.063 * * [simplify]: Extracting # 2 : cost 8 inf + 50969 2.080 * * [simplify]: Extracting # 3 : cost 1 inf + 50491 2.097 * * [simplify]: Extracting # 4 : cost 0 inf + 49957 2.115 * * [simplify]: iteration 2 : 701 enodes (cost 45809 ) 2.590 * * [simplify]: Extracting # 0 : cost 0 inf + 49957 2.614 * * [simplify]: Extracting # 1 : cost 801 inf + 40702 2.643 * * [simplify]: Extracting # 2 : cost 8 inf + 133173 2.668 * * [simplify]: Extracting # 3 : cost 2 inf + 133974 2.712 * * [simplify]: Extracting # 4 : cost 0 inf + 134479 2.757 * * [simplify]: iteration 3 : 2997 enodes (cost 43569 ) 3.838 * * [simplify]: Extracting # 0 : cost 0 inf + 134479 3.919 * * [simplify]: Extracting # 1 : cost 1079 inf + 119352 3.954 * * [simplify]: Extracting # 2 : cost 48 inf + 213276 3.995 * * [simplify]: Extracting # 3 : cost 14 inf + 217055 4.029 * * [simplify]: Extracting # 4 : cost 0 inf + 220918 4.077 * * [simplify]: iteration done: 5004 enodes (cost 43569 ) 4.078 * [simplify]: Simplified to: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) 1 (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) 1 (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) 1 (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (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)))) (* (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))))) (sqrt (* (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))))) (fabs (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (fabs (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))))) (fabs (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (fabs (cbrt (- (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))))) (fabs (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (fabs (cbrt (- (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ (* (* 1/3 (* x x)) (cbrt (/ 1 (* (* y y) (* y y))))) (* (cbrt y) (cbrt y))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* 1/3 (* x x)) (cbrt (/ 1 (* (* y y) (* y y))))) (* (cbrt y) (cbrt y))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* 1/3 (* x x)) (cbrt (/ 1 (* (* y y) (* y y))))) (* (cbrt y) (cbrt y))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (- x) 4.091 * * * [progress]: adding candidates to table 4.600 * * [progress]: iteration 3 / 4 4.600 * * * [progress]: picking best candidate 4.608 * * * * [pick]: Picked # 4.608 * * * [progress]: localizing error 4.609 * * * [progress]: generating rewritten candidates 4.609 * * * [progress]: generating series expansions 4.609 * * * [progress]: simplifying candidates 4.609 * [simplify]: Simplifying: 4.609 * * [simplify]: Extracting # 0 : cost 0 inf + 0 4.609 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 4.609 * * [simplify]: Extracting # 0 : cost 0 inf + 0 4.609 * * [simplify]: iteration done: 0 enodes (cost 0 ) 4.610 * [simplify]: Simplified to: 4.610 * * * [progress]: adding candidates to table 4.610 * * [progress]: iteration 4 / 4 4.610 * * * [progress]: picking best candidate 4.615 * * * * [pick]: Picked # 4.615 * * * [progress]: localizing error 4.616 * * * [progress]: generating rewritten candidates 4.616 * * * [progress]: generating series expansions 4.616 * * * [progress]: simplifying candidates 4.617 * [simplify]: Simplifying: 4.617 * * [simplify]: Extracting # 0 : cost 0 inf + 0 4.617 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 4.617 * * [simplify]: Extracting # 0 : cost 0 inf + 0 4.617 * * [simplify]: iteration done: 0 enodes (cost 0 ) 4.617 * [simplify]: Simplified to: 4.617 * * * [progress]: adding candidates to table 4.617 * [progress]: [Phase 3 of 3] Extracting. 4.617 * * [regime]: Finding splitpoints for: (# # # # #) 4.618 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 4.618 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 4.656 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 4.700 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 4.746 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 4.785 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 4.837 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 4.874 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 4.934 * * * * [regimes]: Trying to branch on y from (# # # # #) 5.004 * * * * [regimes]: Trying to branch on x from (# # # # #) 5.065 * * * [regime]: Found split indices: #