45.157 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: Extracting # 3 : cost 0 0.034 * * [simplify]: Extracting # 4 : cost 0 0.034 * * [simplify]: Extracting # 5 : cost 0 0.034 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.038 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.087 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.088 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.088 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.089 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.089 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.090 * [backup-simplify]: Simplify (+ 0 (pow y 2)) 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 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.091 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.091 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.091 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.094 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.094 * [taylor]: Taking taylor expansion of 1/2 in y 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [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 x 2)) (/ 1 (pow y 2)))) 0.098 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.098 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (+ 0 1) into 1 0.100 * [backup-simplify]: Simplify (sqrt 1) into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (sqrt 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [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 1 in y 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.109 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of 1/2 in y 0.109 * [backup-simplify]: Simplify 1/2 into 1/2 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.114 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [backup-simplify]: Simplify x into x 0.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (+ 0 1) into 1 0.115 * [backup-simplify]: Simplify (sqrt 1) into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (sqrt 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of 1/2 in y 0.127 * [backup-simplify]: Simplify 1/2 into 1/2 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.134 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.134 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.134 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [backup-simplify]: Simplify x into x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [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 (+ 0 (pow y 2)) into (pow y 2) 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [taylor]: Taking taylor expansion of 1 in y 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.148 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.153 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [backup-simplify]: Simplify x into x 0.153 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.157 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.172 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.172 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [backup-simplify]: Simplify x into x 0.172 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [backup-simplify]: Simplify y into y 0.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [backup-simplify]: Simplify y into y 0.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.190 * * * [progress]: simplifying candidates 0.190 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.191 * * [simplify]: Extracting # 0 : cost 0 0.191 * * [simplify]: Extracting # 1 : cost 0 0.192 * * [simplify]: Extracting # 2 : cost 0 0.192 * * [simplify]: Extracting # 3 : cost 0 0.192 * * [simplify]: Extracting # 4 : cost 0 0.192 * * [simplify]: Extracting # 5 : cost 0 0.192 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.211 * * [simplify]: Extracting # 0 : cost 0 0.211 * * [simplify]: Extracting # 1 : cost 0 0.211 * * [simplify]: Extracting # 2 : cost 0 0.211 * * [simplify]: Extracting # 3 : cost 0 0.212 * * [simplify]: Extracting # 4 : cost 0 0.212 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.292 * * [simplify]: Extracting # 0 : cost 0 0.292 * * [simplify]: Extracting # 1 : cost 0 0.293 * * [simplify]: Extracting # 2 : cost 0 0.293 * * [simplify]: Extracting # 3 : cost 0 0.294 * * [simplify]: Extracting # 4 : cost 0 0.294 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.512 * * [simplify]: Extracting # 0 : cost 0 0.513 * * [simplify]: Extracting # 1 : cost 0 0.515 * * [simplify]: Extracting # 2 : cost 0 0.516 * * [simplify]: Extracting # 3 : cost 0 0.517 * * [simplify]: Extracting # 4 : cost 0 0.518 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.315 * * [simplify]: Extracting # 0 : cost 0 1.318 * * [simplify]: Extracting # 1 : cost 0 1.321 * * [simplify]: Extracting # 2 : cost 0 1.323 * * [simplify]: Extracting # 3 : cost 0 1.325 * * [simplify]: Extracting # 4 : cost 0 1.328 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 2.599 * * [simplify]: Extracting # 0 : cost 0 2.604 * * [simplify]: Extracting # 1 : cost 0 2.616 * * [simplify]: Extracting # 2 : cost 0 2.621 * * [simplify]: Extracting # 3 : cost 0 2.626 * * [simplify]: Extracting # 4 : cost 0 2.631 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 2.631 * [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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.631 * * * [progress]: adding candidates to table 2.706 * * [progress]: iteration 2 / 4 2.706 * * * [progress]: picking best candidate 2.713 * * * * [pick]: Picked # 2.713 * * * [progress]: localizing error 2.732 * * * [progress]: generating rewritten candidates 2.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.741 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.749 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.757 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.764 * * * [progress]: generating series expansions 2.764 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.765 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.765 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.765 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.765 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.765 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.765 * [taylor]: Taking taylor expansion of x in y 2.765 * [backup-simplify]: Simplify x into x 2.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.765 * [taylor]: Taking taylor expansion of y in y 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.765 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.765 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.765 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.766 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.766 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.766 * [taylor]: Taking taylor expansion of y in x 2.766 * [backup-simplify]: Simplify y into y 2.766 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.766 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.766 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.766 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.766 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.767 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.767 * [taylor]: Taking taylor expansion of x in x 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.767 * [taylor]: Taking taylor expansion of y in x 2.767 * [backup-simplify]: Simplify y into y 2.767 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.767 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.767 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.767 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.767 * [taylor]: Taking taylor expansion of y in y 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [taylor]: Taking taylor expansion of 0 in y 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (* 1 1) into 1 2.768 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.768 * [backup-simplify]: Simplify (+ 1 0) into 1 2.769 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.769 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.769 * [taylor]: Taking taylor expansion of 1/2 in y 2.769 * [backup-simplify]: Simplify 1/2 into 1/2 2.769 * [taylor]: Taking taylor expansion of y in y 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.771 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.771 * [taylor]: Taking taylor expansion of 0 in y 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.772 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.772 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.772 * [taylor]: Taking taylor expansion of x in y 2.772 * [backup-simplify]: Simplify x into x 2.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.772 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.772 * [taylor]: Taking taylor expansion of y in y 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (* 1 1) into 1 2.773 * [backup-simplify]: Simplify (/ 1 1) into 1 2.773 * [backup-simplify]: Simplify (+ 0 1) into 1 2.773 * [backup-simplify]: Simplify (sqrt 1) into 1 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.775 * [taylor]: Taking taylor expansion of x in x 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.776 * [taylor]: Taking taylor expansion of y in x 2.776 * [backup-simplify]: Simplify y into y 2.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.776 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.776 * [backup-simplify]: Simplify (+ 1 0) into 1 2.776 * [backup-simplify]: Simplify (sqrt 1) into 1 2.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.778 * [taylor]: Taking taylor expansion of y in x 2.778 * [backup-simplify]: Simplify y into y 2.778 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.779 * [backup-simplify]: Simplify (+ 1 0) into 1 2.779 * [backup-simplify]: Simplify (sqrt 1) into 1 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.781 * [taylor]: Taking taylor expansion of 1 in y 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [taylor]: Taking taylor expansion of 0 in y 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.783 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.783 * [taylor]: Taking taylor expansion of 1/2 in y 2.783 * [backup-simplify]: Simplify 1/2 into 1/2 2.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.783 * [taylor]: Taking taylor expansion of y in y 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (* 1 1) into 1 2.783 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.786 * [backup-simplify]: Simplify (+ 0 0) into 0 2.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.786 * [taylor]: Taking taylor expansion of 0 in y 2.786 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.788 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.788 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.788 * [taylor]: Taking taylor expansion of x in y 2.788 * [backup-simplify]: Simplify x into x 2.788 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.788 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.788 * [taylor]: Taking taylor expansion of y in y 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (/ 1 1) into 1 2.789 * [backup-simplify]: Simplify (+ 0 1) into 1 2.789 * [backup-simplify]: Simplify (sqrt 1) into 1 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (* 1 1) into 1 2.791 * [backup-simplify]: Simplify (/ 1 1) into 1 2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.791 * [taylor]: Taking taylor expansion of y in x 2.791 * [backup-simplify]: Simplify y into y 2.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.792 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.792 * [backup-simplify]: Simplify (+ 1 0) into 1 2.792 * [backup-simplify]: Simplify (sqrt 1) into 1 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (* 1 1) into 1 2.795 * [backup-simplify]: Simplify (/ 1 1) into 1 2.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.795 * [taylor]: Taking taylor expansion of y in x 2.795 * [backup-simplify]: Simplify y into y 2.795 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.795 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.795 * [backup-simplify]: Simplify (+ 1 0) into 1 2.796 * [backup-simplify]: Simplify (sqrt 1) into 1 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.797 * [taylor]: Taking taylor expansion of 1 in y 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [taylor]: Taking taylor expansion of 0 in y 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.799 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.799 * [taylor]: Taking taylor expansion of 1/2 in y 2.799 * [backup-simplify]: Simplify 1/2 into 1/2 2.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.799 * [taylor]: Taking taylor expansion of y in y 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (* 1 1) into 1 2.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.806 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.806 * [taylor]: Taking taylor expansion of 0 in y 2.806 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.808 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.808 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.808 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.808 * [taylor]: Taking taylor expansion of x in y 2.808 * [backup-simplify]: Simplify x into x 2.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.808 * [taylor]: Taking taylor expansion of y in y 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.808 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.808 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.808 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.809 * [taylor]: Taking taylor expansion of y in x 2.809 * [backup-simplify]: Simplify y into y 2.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.809 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.809 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.809 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.810 * [taylor]: Taking taylor expansion of y in x 2.810 * [backup-simplify]: Simplify y into y 2.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.810 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.810 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.810 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.810 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.810 * [taylor]: Taking taylor expansion of y in y 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [taylor]: Taking taylor expansion of 0 in y 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (* 1 1) into 1 2.811 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.811 * [backup-simplify]: Simplify (+ 1 0) into 1 2.812 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.812 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.812 * [taylor]: Taking taylor expansion of 1/2 in y 2.812 * [backup-simplify]: Simplify 1/2 into 1/2 2.812 * [taylor]: Taking taylor expansion of y in y 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.814 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.815 * [taylor]: Taking taylor expansion of 0 in y 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.816 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.816 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.816 * [taylor]: Taking taylor expansion of x in y 2.816 * [backup-simplify]: Simplify x into x 2.816 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.817 * [taylor]: Taking taylor expansion of y in y 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (* 1 1) into 1 2.817 * [backup-simplify]: Simplify (/ 1 1) into 1 2.818 * [backup-simplify]: Simplify (+ 0 1) into 1 2.818 * [backup-simplify]: Simplify (sqrt 1) into 1 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.820 * [taylor]: Taking taylor expansion of y in x 2.820 * [backup-simplify]: Simplify y into y 2.820 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.821 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.821 * [backup-simplify]: Simplify (+ 1 0) into 1 2.821 * [backup-simplify]: Simplify (sqrt 1) into 1 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.823 * [backup-simplify]: Simplify y into y 2.823 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.823 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.824 * [backup-simplify]: Simplify (+ 1 0) into 1 2.824 * [backup-simplify]: Simplify (sqrt 1) into 1 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.825 * [taylor]: Taking taylor expansion of 1 in y 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [taylor]: Taking taylor expansion of 0 in y 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.828 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.828 * [taylor]: Taking taylor expansion of 1/2 in y 2.828 * [backup-simplify]: Simplify 1/2 into 1/2 2.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.828 * [taylor]: Taking taylor expansion of y in y 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.831 * [taylor]: Taking taylor expansion of 0 in y 2.831 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.833 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.833 * [taylor]: Taking taylor expansion of x in y 2.833 * [backup-simplify]: Simplify x into x 2.833 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.833 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.833 * [taylor]: Taking taylor expansion of y in y 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [backup-simplify]: Simplify (+ 0 1) into 1 2.834 * [backup-simplify]: Simplify (sqrt 1) into 1 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.836 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.836 * [taylor]: Taking taylor expansion of y in x 2.836 * [backup-simplify]: Simplify y into y 2.836 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.836 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (sqrt 1) into 1 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.839 * [taylor]: Taking taylor expansion of y in x 2.839 * [backup-simplify]: Simplify y into y 2.839 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.840 * [backup-simplify]: Simplify (+ 1 0) into 1 2.840 * [backup-simplify]: Simplify (sqrt 1) into 1 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.841 * [taylor]: Taking taylor expansion of 1 in y 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of 0 in y 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.843 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.843 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.843 * [taylor]: Taking taylor expansion of 1/2 in y 2.843 * [backup-simplify]: Simplify 1/2 into 1/2 2.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.843 * [taylor]: Taking taylor expansion of y in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (* 1 1) into 1 2.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.847 * [taylor]: Taking taylor expansion of 0 in y 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.849 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.849 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.849 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.849 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.849 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.849 * [taylor]: Taking taylor expansion of x in y 2.849 * [backup-simplify]: Simplify x into x 2.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.849 * [taylor]: Taking taylor expansion of y in y 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.849 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.849 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.849 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.850 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.850 * [taylor]: Taking taylor expansion of x in x 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.850 * [taylor]: Taking taylor expansion of y in x 2.850 * [backup-simplify]: Simplify y into y 2.850 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.850 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.850 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.850 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.851 * [taylor]: Taking taylor expansion of y in x 2.851 * [backup-simplify]: Simplify y into y 2.851 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.851 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.851 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.851 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.851 * [taylor]: Taking taylor expansion of y in y 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [taylor]: Taking taylor expansion of 0 in y 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (* 1 1) into 1 2.852 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.852 * [backup-simplify]: Simplify (+ 1 0) into 1 2.853 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.853 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.853 * [taylor]: Taking taylor expansion of 1/2 in y 2.853 * [backup-simplify]: Simplify 1/2 into 1/2 2.853 * [taylor]: Taking taylor expansion of y in y 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.855 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.855 * [taylor]: Taking taylor expansion of 0 in y 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.856 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.856 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.856 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.856 * [taylor]: Taking taylor expansion of x in y 2.856 * [backup-simplify]: Simplify x into x 2.856 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.856 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.856 * [taylor]: Taking taylor expansion of y in y 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (* 1 1) into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [backup-simplify]: Simplify (+ 0 1) into 1 2.857 * [backup-simplify]: Simplify (sqrt 1) into 1 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (+ 0 0) into 0 2.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.859 * [taylor]: Taking taylor expansion of x in x 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (* 1 1) into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.859 * [taylor]: Taking taylor expansion of y in x 2.859 * [backup-simplify]: Simplify y into y 2.859 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.860 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.860 * [backup-simplify]: Simplify (+ 1 0) into 1 2.860 * [backup-simplify]: Simplify (sqrt 1) into 1 2.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (* 1 1) into 1 2.862 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.862 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.862 * [taylor]: Taking taylor expansion of y in x 2.862 * [backup-simplify]: Simplify y into y 2.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.862 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.863 * [backup-simplify]: Simplify (+ 1 0) into 1 2.863 * [backup-simplify]: Simplify (sqrt 1) into 1 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.864 * [taylor]: Taking taylor expansion of 1 in y 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [taylor]: Taking taylor expansion of 0 in y 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.867 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.867 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.867 * [taylor]: Taking taylor expansion of 1/2 in y 2.867 * [backup-simplify]: Simplify 1/2 into 1/2 2.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.867 * [taylor]: Taking taylor expansion of y in y 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (* 1 1) into 1 2.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.870 * [backup-simplify]: Simplify (+ 0 0) into 0 2.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.870 * [taylor]: Taking taylor expansion of 0 in y 2.870 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.872 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.872 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.872 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.872 * [taylor]: Taking taylor expansion of x in y 2.872 * [backup-simplify]: Simplify x into x 2.872 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.872 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.872 * [taylor]: Taking taylor expansion of y in y 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (* 1 1) into 1 2.873 * [backup-simplify]: Simplify (/ 1 1) into 1 2.873 * [backup-simplify]: Simplify (+ 0 1) into 1 2.873 * [backup-simplify]: Simplify (sqrt 1) into 1 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.875 * [taylor]: Taking taylor expansion of y in x 2.875 * [backup-simplify]: Simplify y into y 2.875 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.875 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.876 * [backup-simplify]: Simplify (+ 1 0) into 1 2.876 * [backup-simplify]: Simplify (sqrt 1) into 1 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.878 * [taylor]: Taking taylor expansion of y in x 2.878 * [backup-simplify]: Simplify y into y 2.878 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.878 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.878 * [backup-simplify]: Simplify (+ 1 0) into 1 2.879 * [backup-simplify]: Simplify (sqrt 1) into 1 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.880 * [taylor]: Taking taylor expansion of 1 in y 2.880 * [backup-simplify]: Simplify 1 into 1 2.880 * [taylor]: Taking taylor expansion of 0 in y 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.882 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.882 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.882 * [taylor]: Taking taylor expansion of 1/2 in y 2.882 * [backup-simplify]: Simplify 1/2 into 1/2 2.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.882 * [taylor]: Taking taylor expansion of y in y 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (* 1 1) into 1 2.883 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.886 * [taylor]: Taking taylor expansion of 0 in y 2.886 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.887 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.888 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* x x) (* y y)))) into (pow (+ (pow x 2) (pow y 2)) 1/6) 2.888 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in (x y) around 0 2.888 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 2.888 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 2.888 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 2.888 * [taylor]: Taking taylor expansion of 1/6 in y 2.888 * [backup-simplify]: Simplify 1/6 into 1/6 2.888 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.888 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.888 * [taylor]: Taking taylor expansion of x in y 2.888 * [backup-simplify]: Simplify x into x 2.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.888 * [taylor]: Taking taylor expansion of y in y 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.888 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.888 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.888 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2))) 2.888 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6) 2.888 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 2.888 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 2.888 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 2.888 * [taylor]: Taking taylor expansion of 1/6 in x 2.888 * [backup-simplify]: Simplify 1/6 into 1/6 2.888 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.888 * [taylor]: Taking taylor expansion of y in x 2.889 * [backup-simplify]: Simplify y into y 2.889 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.889 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.889 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.889 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2))) 2.889 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6) 2.889 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 2.889 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 2.889 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 2.889 * [taylor]: Taking taylor expansion of 1/6 in x 2.889 * [backup-simplify]: Simplify 1/6 into 1/6 2.889 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.889 * [taylor]: Taking taylor expansion of y in x 2.889 * [backup-simplify]: Simplify y into y 2.889 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.889 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.889 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.889 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2))) 2.890 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6) 2.890 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y 2.890 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y 2.890 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y 2.890 * [taylor]: Taking taylor expansion of 1/6 in y 2.890 * [backup-simplify]: Simplify 1/6 into 1/6 2.890 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.890 * [taylor]: Taking taylor expansion of y in y 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.890 * [backup-simplify]: Simplify (log 1) into 0 2.891 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.891 * [backup-simplify]: Simplify (* 1/6 (* 2 (log y))) into (* 1/3 (log y)) 2.891 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 2.891 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3) 2.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.891 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.892 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow y 2)))) into 0 2.893 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.893 * [taylor]: Taking taylor expansion of 0 in y 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.895 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.895 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log y)))) into 0 2.896 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (* 1 1) into 1 2.896 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.898 * [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)) 2.898 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/6 (/ 1 (pow y 2))) 2.899 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 2.899 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 2.899 * [taylor]: Taking taylor expansion of 1/6 in y 2.899 * [backup-simplify]: Simplify 1/6 into 1/6 2.899 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 2.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 2.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 2.899 * [taylor]: Taking taylor expansion of 1/3 in y 2.899 * [backup-simplify]: Simplify 1/3 into 1/3 2.899 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 2.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 2.899 * [taylor]: Taking taylor expansion of (pow y 5) in y 2.899 * [taylor]: Taking taylor expansion of y in y 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [backup-simplify]: Simplify (log 1) into 0 2.904 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y))) 2.904 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log y)))) into (* -5/3 (log y)) 2.904 * [backup-simplify]: Simplify (exp (* -5/3 (log y))) into (pow y -5/3) 2.904 * [backup-simplify]: Simplify (* 1/6 (pow y -5/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 2.904 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 2.904 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.907 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.907 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 2.908 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.909 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [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 2.912 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 2.913 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.913 * [taylor]: Taking taylor expansion of 0 in y 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.917 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y))) 2.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log y))))) into 0 2.918 * [backup-simplify]: Simplify (* (exp (* -5/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow y -5/3))) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.925 * [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 2.926 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.927 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 2.929 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) (pow (* 1 x) 2)) (pow y 1/3)) into (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) 2.930 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 2.930 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 2.930 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.930 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.930 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.930 * [taylor]: Taking taylor expansion of 1/6 in y 2.930 * [backup-simplify]: Simplify 1/6 into 1/6 2.930 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.930 * [taylor]: Taking taylor expansion of x in y 2.930 * [backup-simplify]: Simplify x into x 2.930 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.930 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.930 * [taylor]: Taking taylor expansion of y in y 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (* 1 1) into 1 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.932 * [backup-simplify]: Simplify (+ 0 1) into 1 2.932 * [backup-simplify]: Simplify (log 1) into 0 2.933 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.933 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.933 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.933 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.933 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.933 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.933 * [taylor]: Taking taylor expansion of 1/6 in x 2.933 * [backup-simplify]: Simplify 1/6 into 1/6 2.933 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.934 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.934 * [taylor]: Taking taylor expansion of y in x 2.934 * [backup-simplify]: Simplify y into y 2.934 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.934 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.935 * [backup-simplify]: Simplify (+ 1 0) into 1 2.935 * [backup-simplify]: Simplify (log 1) into 0 2.935 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.935 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.935 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.936 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.936 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.936 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.936 * [taylor]: Taking taylor expansion of 1/6 in x 2.936 * [backup-simplify]: Simplify 1/6 into 1/6 2.936 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (* 1 1) into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.936 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.936 * [taylor]: Taking taylor expansion of y in x 2.936 * [backup-simplify]: Simplify y into y 2.936 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.937 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.937 * [backup-simplify]: Simplify (+ 1 0) into 1 2.937 * [backup-simplify]: Simplify (log 1) into 0 2.938 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.938 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.938 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.938 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 2.938 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 2.938 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 2.938 * [taylor]: Taking taylor expansion of -1/3 in y 2.938 * [backup-simplify]: Simplify -1/3 into -1/3 2.938 * [taylor]: Taking taylor expansion of (log x) in y 2.938 * [taylor]: Taking taylor expansion of x in y 2.938 * [backup-simplify]: Simplify x into x 2.938 * [backup-simplify]: Simplify (log x) into (log x) 2.938 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x)) 2.938 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.938 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 2.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.942 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.942 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0 2.943 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.943 * [taylor]: Taking taylor expansion of 0 in y 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.945 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0 2.945 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.948 * [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)) 2.948 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.949 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2))) 2.949 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) 2.949 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 2.949 * [taylor]: Taking taylor expansion of 1/6 in y 2.949 * [backup-simplify]: Simplify 1/6 into 1/6 2.949 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 2.949 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.949 * [taylor]: Taking taylor expansion of 1/3 in y 2.949 * [backup-simplify]: Simplify 1/3 into 1/3 2.949 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.949 * [taylor]: Taking taylor expansion of x in y 2.949 * [backup-simplify]: Simplify x into x 2.950 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.950 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x)) 2.950 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x))) 2.950 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3) 2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.950 * [taylor]: Taking taylor expansion of y in y 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (* 1 1) into 1 2.950 * [backup-simplify]: Simplify (/ 1 1) into 1 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0 2.954 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0 2.956 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0 2.956 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.957 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.957 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3) 2.958 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.960 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.961 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [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 2.965 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.965 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.967 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.967 * [taylor]: Taking taylor expansion of 0 in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (pow (/ 1 x) -1/3) into (pow (/ 1 x) -1/3) 2.967 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 2.967 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 2.967 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.967 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.967 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.967 * [taylor]: Taking taylor expansion of 1/6 in y 2.967 * [backup-simplify]: Simplify 1/6 into 1/6 2.967 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.967 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.967 * [taylor]: Taking taylor expansion of x in y 2.967 * [backup-simplify]: Simplify x into x 2.968 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.968 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.968 * [taylor]: Taking taylor expansion of y in y 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (* 1 1) into 1 2.968 * [backup-simplify]: Simplify (/ 1 1) into 1 2.968 * [backup-simplify]: Simplify (+ 0 1) into 1 2.969 * [backup-simplify]: Simplify (log 1) into 0 2.969 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.969 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.969 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.969 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.969 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.969 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.969 * [taylor]: Taking taylor expansion of 1/6 in x 2.969 * [backup-simplify]: Simplify 1/6 into 1/6 2.969 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.969 * [taylor]: Taking taylor expansion of x in x 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.970 * [taylor]: Taking taylor expansion of y in x 2.970 * [backup-simplify]: Simplify y into y 2.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.970 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.970 * [backup-simplify]: Simplify (+ 1 0) into 1 2.970 * [backup-simplify]: Simplify (log 1) into 0 2.971 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.971 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.971 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.971 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.971 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.971 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.971 * [taylor]: Taking taylor expansion of 1/6 in x 2.971 * [backup-simplify]: Simplify 1/6 into 1/6 2.971 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.971 * [taylor]: Taking taylor expansion of x in x 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.972 * [taylor]: Taking taylor expansion of y in x 2.972 * [backup-simplify]: Simplify y into y 2.972 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.972 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.972 * [backup-simplify]: Simplify (+ 1 0) into 1 2.972 * [backup-simplify]: Simplify (log 1) into 0 2.973 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.973 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.973 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.973 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 2.973 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 2.973 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 2.973 * [taylor]: Taking taylor expansion of -1/3 in y 2.973 * [backup-simplify]: Simplify -1/3 into -1/3 2.973 * [taylor]: Taking taylor expansion of (log x) in y 2.973 * [taylor]: Taking taylor expansion of x in y 2.973 * [backup-simplify]: Simplify x into x 2.973 * [backup-simplify]: Simplify (log x) into (log x) 2.973 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x)) 2.973 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.973 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.975 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.976 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0 2.976 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.976 * [taylor]: Taking taylor expansion of 0 in y 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.977 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0 2.978 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.980 * [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)) 2.980 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.981 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2))) 2.982 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) 2.982 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 2.982 * [taylor]: Taking taylor expansion of 1/6 in y 2.982 * [backup-simplify]: Simplify 1/6 into 1/6 2.982 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 2.982 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.982 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.982 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.982 * [taylor]: Taking taylor expansion of 1/3 in y 2.982 * [backup-simplify]: Simplify 1/3 into 1/3 2.982 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.982 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.982 * [taylor]: Taking taylor expansion of x in y 2.982 * [backup-simplify]: Simplify x into x 2.982 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.982 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x)) 2.982 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x))) 2.983 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3) 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.983 * [taylor]: Taking taylor expansion of y in y 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.983 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0 2.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.990 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0 2.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0 2.992 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.994 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0 2.994 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3) 2.995 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.998 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.999 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.999 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.002 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [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 3.007 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.008 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.010 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.010 * [taylor]: Taking taylor expansion of 0 in y 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/3) into (pow (/ -1 x) -1/3) 3.011 * * * [progress]: simplifying candidates 3.012 * [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)))) (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)))) (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)))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (exp (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt 1) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (sqrt (- (* x x) (* y y)))) (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 3.014 * * [simplify]: Extracting # 0 : cost 0 3.015 * * [simplify]: Extracting # 1 : cost 0 3.015 * * [simplify]: Extracting # 2 : cost 0 3.015 * * [simplify]: Extracting # 3 : cost 0 3.015 * * [simplify]: Extracting # 4 : cost 0 3.015 * * [simplify]: Extracting # 5 : cost 0 3.015 * * [simplify]: Extracting # 6 : cost 0 3.015 * * [simplify]: Extracting # 7 : cost 0 3.016 * * [simplify]: Extracting # 8 : cost 0 3.016 * * [simplify]: Extracting # 9 : cost 0 3.016 * * [simplify]: Extracting # 10 : cost 0 3.016 * * [simplify]: Extracting # 11 : cost 0 3.016 * * [simplify]: Extracting # 12 : cost 0 3.016 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 3.048 * * [simplify]: Extracting # 0 : cost 0 3.049 * * [simplify]: Extracting # 1 : cost 0 3.049 * * [simplify]: Extracting # 2 : cost 0 3.049 * * [simplify]: Extracting # 3 : cost 0 3.050 * * [simplify]: Extracting # 4 : cost 0 3.050 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 3.120 * * [simplify]: Extracting # 0 : cost 0 3.121 * * [simplify]: Extracting # 1 : cost 0 3.121 * * [simplify]: Extracting # 2 : cost 0 3.122 * * [simplify]: Extracting # 3 : cost 0 3.122 * * [simplify]: Extracting # 4 : cost 0 3.123 * * [simplify]: Extracting # 5 : cost 0 3.124 * * [simplify]: iteration 2 : 323 enodes (cost 761 ) 3.285 * * [simplify]: Extracting # 0 : cost 0 3.286 * * [simplify]: Extracting # 1 : cost 0 3.288 * * [simplify]: Extracting # 2 : cost 0 3.289 * * [simplify]: Extracting # 3 : cost 0 3.290 * * [simplify]: Extracting # 4 : cost 0 3.291 * * [simplify]: iteration 3 : 693 enodes (cost 750 ) 3.668 * * [simplify]: Extracting # 0 : cost 0 3.670 * * [simplify]: Extracting # 1 : cost 0 3.672 * * [simplify]: Extracting # 2 : cost 0 3.674 * * [simplify]: Extracting # 3 : cost 0 3.676 * * [simplify]: Extracting # 4 : cost 0 3.678 * * [simplify]: iteration 4 : 1885 enodes (cost 750 ) 4.647 * * [simplify]: Extracting # 0 : cost 0 4.656 * * [simplify]: Extracting # 1 : cost 0 4.665 * * [simplify]: Extracting # 2 : cost 0 4.674 * * [simplify]: Extracting # 3 : cost 0 4.683 * * [simplify]: Extracting # 4 : cost 0 4.699 * * [simplify]: iteration done: 5001 enodes (cost 750 ) 4.700 * [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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (exp (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (fabs (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (pow y 6) (pow x 6)))) (cbrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (sqrt (- (pow x 4) (pow y 4)))) (cbrt (sqrt (- (* x x) (* y y)))) (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) y x (- x) y x (- x) y x (- x) (+ (* (* (* x x) (cbrt (/ 1 (pow y 5)))) 1/6) (cbrt y)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 4.700 * * * [progress]: adding candidates to table 4.950 * * [progress]: iteration 3 / 4 4.950 * * * [progress]: picking best candidate 4.958 * * * * [pick]: Picked # 4.958 * * * [progress]: localizing error 4.981 * * * [progress]: generating rewritten candidates 4.981 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 4.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 5.007 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 5.030 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.047 * * * [progress]: generating series expansions 5.047 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.048 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.048 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.048 * [taylor]: Taking taylor expansion of x in y 5.048 * [backup-simplify]: Simplify x into x 5.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.048 * [taylor]: Taking taylor expansion of y in y 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.048 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.048 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.048 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.049 * [taylor]: Taking taylor expansion of x in x 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.049 * [taylor]: Taking taylor expansion of y in x 5.049 * [backup-simplify]: Simplify y into y 5.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.050 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.050 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.050 * [backup-simplify]: Simplify (+ 0 0) into 0 5.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.051 * [taylor]: Taking taylor expansion of x in x 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.051 * [taylor]: Taking taylor expansion of y in x 5.051 * [backup-simplify]: Simplify y into y 5.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.051 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.051 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.052 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.052 * [taylor]: Taking taylor expansion of y in y 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [taylor]: Taking taylor expansion of 0 in y 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (* 1 1) into 1 5.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.053 * [backup-simplify]: Simplify (+ 1 0) into 1 5.054 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.054 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.054 * [taylor]: Taking taylor expansion of 1/2 in y 5.054 * [backup-simplify]: Simplify 1/2 into 1/2 5.054 * [taylor]: Taking taylor expansion of y in y 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.057 * [taylor]: Taking taylor expansion of 0 in y 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.058 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.058 * [taylor]: Taking taylor expansion of x in y 5.058 * [backup-simplify]: Simplify x into x 5.058 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.058 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.058 * [taylor]: Taking taylor expansion of y in y 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (* 1 1) into 1 5.059 * [backup-simplify]: Simplify (/ 1 1) into 1 5.059 * [backup-simplify]: Simplify (+ 0 1) into 1 5.059 * [backup-simplify]: Simplify (sqrt 1) into 1 5.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (+ 0 0) into 0 5.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.061 * [taylor]: Taking taylor expansion of x in x 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (* 1 1) into 1 5.061 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.061 * [taylor]: Taking taylor expansion of y in x 5.062 * [backup-simplify]: Simplify y into y 5.062 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.062 * [backup-simplify]: Simplify (+ 1 0) into 1 5.062 * [backup-simplify]: Simplify (sqrt 1) into 1 5.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.064 * [taylor]: Taking taylor expansion of x in x 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 1 into 1 5.064 * [backup-simplify]: Simplify (* 1 1) into 1 5.064 * [backup-simplify]: Simplify (/ 1 1) into 1 5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.064 * [taylor]: Taking taylor expansion of y in x 5.064 * [backup-simplify]: Simplify y into y 5.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.065 * [backup-simplify]: Simplify (+ 1 0) into 1 5.065 * [backup-simplify]: Simplify (sqrt 1) into 1 5.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.066 * [backup-simplify]: Simplify (+ 0 0) into 0 5.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.066 * [taylor]: Taking taylor expansion of 1 in y 5.067 * [backup-simplify]: Simplify 1 into 1 5.067 * [taylor]: Taking taylor expansion of 0 in y 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 1 into 1 5.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.068 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.070 * [taylor]: Taking taylor expansion of 1/2 in y 5.070 * [backup-simplify]: Simplify 1/2 into 1/2 5.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.070 * [taylor]: Taking taylor expansion of y in y 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (* 1 1) into 1 5.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.074 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.075 * [backup-simplify]: Simplify (+ 0 0) into 0 5.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.076 * [taylor]: Taking taylor expansion of 0 in y 5.076 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.078 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.078 * [taylor]: Taking taylor expansion of x in y 5.078 * [backup-simplify]: Simplify x into x 5.079 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.079 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.079 * [taylor]: Taking taylor expansion of y in y 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (* 1 1) into 1 5.080 * [backup-simplify]: Simplify (/ 1 1) into 1 5.080 * [backup-simplify]: Simplify (+ 0 1) into 1 5.080 * [backup-simplify]: Simplify (sqrt 1) into 1 5.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.083 * [taylor]: Taking taylor expansion of x in x 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify (* 1 1) into 1 5.084 * [backup-simplify]: Simplify (/ 1 1) into 1 5.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.084 * [taylor]: Taking taylor expansion of y in x 5.084 * [backup-simplify]: Simplify y into y 5.084 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.084 * [backup-simplify]: Simplify (+ 1 0) into 1 5.085 * [backup-simplify]: Simplify (sqrt 1) into 1 5.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.086 * [backup-simplify]: Simplify (+ 0 0) into 0 5.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.087 * [taylor]: Taking taylor expansion of x in x 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.088 * [backup-simplify]: Simplify (* 1 1) into 1 5.088 * [backup-simplify]: Simplify (/ 1 1) into 1 5.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.088 * [taylor]: Taking taylor expansion of y in x 5.088 * [backup-simplify]: Simplify y into y 5.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.089 * [backup-simplify]: Simplify (+ 1 0) into 1 5.089 * [backup-simplify]: Simplify (sqrt 1) into 1 5.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.091 * [backup-simplify]: Simplify (+ 0 0) into 0 5.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.092 * [taylor]: Taking taylor expansion of 1 in y 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [taylor]: Taking taylor expansion of 0 in y 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.095 * [taylor]: Taking taylor expansion of 1/2 in y 5.095 * [backup-simplify]: Simplify 1/2 into 1/2 5.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.095 * [taylor]: Taking taylor expansion of y in y 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (* 1 1) into 1 5.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.100 * [backup-simplify]: Simplify (+ 0 0) into 0 5.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.100 * [taylor]: Taking taylor expansion of 0 in y 5.100 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.102 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 5.102 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.102 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.102 * [taylor]: Taking taylor expansion of x in y 5.102 * [backup-simplify]: Simplify x into x 5.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.102 * [taylor]: Taking taylor expansion of y in y 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.102 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.102 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.102 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.102 * [backup-simplify]: Simplify (+ 0 0) into 0 5.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.103 * [taylor]: Taking taylor expansion of x in x 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.103 * [taylor]: Taking taylor expansion of y in x 5.103 * [backup-simplify]: Simplify y into y 5.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.103 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.103 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.103 * [backup-simplify]: Simplify (+ 0 0) into 0 5.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.103 * [taylor]: Taking taylor expansion of x in x 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.103 * [taylor]: Taking taylor expansion of y in x 5.103 * [backup-simplify]: Simplify y into y 5.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.104 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.104 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.104 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.104 * [taylor]: Taking taylor expansion of y in y 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [taylor]: Taking taylor expansion of 0 in y 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (* 1 1) into 1 5.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.105 * [backup-simplify]: Simplify (+ 1 0) into 1 5.106 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.106 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.106 * [taylor]: Taking taylor expansion of 1/2 in y 5.106 * [backup-simplify]: Simplify 1/2 into 1/2 5.106 * [taylor]: Taking taylor expansion of y in y 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.108 * [backup-simplify]: Simplify (+ 0 0) into 0 5.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.108 * [taylor]: Taking taylor expansion of 0 in y 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.109 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.109 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.109 * [taylor]: Taking taylor expansion of x in y 5.109 * [backup-simplify]: Simplify x into x 5.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.109 * [taylor]: Taking taylor expansion of y in y 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (* 1 1) into 1 5.109 * [backup-simplify]: Simplify (/ 1 1) into 1 5.110 * [backup-simplify]: Simplify (+ 0 1) into 1 5.110 * [backup-simplify]: Simplify (sqrt 1) into 1 5.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.111 * [backup-simplify]: Simplify (+ 0 0) into 0 5.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.111 * [taylor]: Taking taylor expansion of x in x 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (* 1 1) into 1 5.112 * [backup-simplify]: Simplify (/ 1 1) into 1 5.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.112 * [taylor]: Taking taylor expansion of y in x 5.112 * [backup-simplify]: Simplify y into y 5.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.112 * [backup-simplify]: Simplify (+ 1 0) into 1 5.113 * [backup-simplify]: Simplify (sqrt 1) into 1 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (+ 0 0) into 0 5.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.114 * [taylor]: Taking taylor expansion of x in x 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [backup-simplify]: Simplify (* 1 1) into 1 5.115 * [backup-simplify]: Simplify (/ 1 1) into 1 5.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.115 * [taylor]: Taking taylor expansion of y in x 5.115 * [backup-simplify]: Simplify y into y 5.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.115 * [backup-simplify]: Simplify (+ 1 0) into 1 5.115 * [backup-simplify]: Simplify (sqrt 1) into 1 5.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.117 * [taylor]: Taking taylor expansion of 1 in y 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of 0 in y 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.119 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.119 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.119 * [taylor]: Taking taylor expansion of 1/2 in y 5.119 * [backup-simplify]: Simplify 1/2 into 1/2 5.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.119 * [taylor]: Taking taylor expansion of y in y 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.120 * [backup-simplify]: Simplify (* 1 1) into 1 5.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.122 * [backup-simplify]: Simplify (+ 0 0) into 0 5.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.123 * [taylor]: Taking taylor expansion of 0 in y 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.124 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.124 * [taylor]: Taking taylor expansion of x in y 5.124 * [backup-simplify]: Simplify x into x 5.124 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.125 * [taylor]: Taking taylor expansion of y in y 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (* 1 1) into 1 5.125 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [backup-simplify]: Simplify (+ 0 1) into 1 5.126 * [backup-simplify]: Simplify (sqrt 1) into 1 5.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ 0 0) into 0 5.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.127 * [taylor]: Taking taylor expansion of x in x 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.128 * [backup-simplify]: Simplify (* 1 1) into 1 5.128 * [backup-simplify]: Simplify (/ 1 1) into 1 5.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.128 * [taylor]: Taking taylor expansion of y in x 5.128 * [backup-simplify]: Simplify y into y 5.128 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.128 * [backup-simplify]: Simplify (+ 1 0) into 1 5.129 * [backup-simplify]: Simplify (sqrt 1) into 1 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ 0 0) into 0 5.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.130 * [taylor]: Taking taylor expansion of x in x 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [backup-simplify]: Simplify (* 1 1) into 1 5.131 * [backup-simplify]: Simplify (/ 1 1) into 1 5.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.131 * [taylor]: Taking taylor expansion of y in x 5.131 * [backup-simplify]: Simplify y into y 5.131 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.131 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.131 * [backup-simplify]: Simplify (+ 1 0) into 1 5.131 * [backup-simplify]: Simplify (sqrt 1) into 1 5.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.133 * [backup-simplify]: Simplify (+ 0 0) into 0 5.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.134 * [taylor]: Taking taylor expansion of 1 in y 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [taylor]: Taking taylor expansion of 0 in y 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.137 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.137 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.137 * [taylor]: Taking taylor expansion of 1/2 in y 5.137 * [backup-simplify]: Simplify 1/2 into 1/2 5.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.137 * [taylor]: Taking taylor expansion of y in y 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (* 1 1) into 1 5.138 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.141 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.148 * [backup-simplify]: Simplify (+ 0 0) into 0 5.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.149 * [taylor]: Taking taylor expansion of 0 in y 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.151 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 5.151 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.151 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.151 * [taylor]: Taking taylor expansion of x in y 5.151 * [backup-simplify]: Simplify x into x 5.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.151 * [taylor]: Taking taylor expansion of y in y 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.151 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.151 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.152 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.152 * [backup-simplify]: Simplify (+ 0 0) into 0 5.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.152 * [taylor]: Taking taylor expansion of x in x 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.152 * [taylor]: Taking taylor expansion of y in x 5.152 * [backup-simplify]: Simplify y into y 5.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.153 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.153 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.153 * [backup-simplify]: Simplify (+ 0 0) into 0 5.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.153 * [taylor]: Taking taylor expansion of x in x 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 1 into 1 5.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.153 * [taylor]: Taking taylor expansion of y in x 5.154 * [backup-simplify]: Simplify y into y 5.154 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.154 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.154 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.154 * [backup-simplify]: Simplify (+ 0 0) into 0 5.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.155 * [taylor]: Taking taylor expansion of y in y 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [taylor]: Taking taylor expansion of 0 in y 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (* 1 1) into 1 5.156 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.156 * [backup-simplify]: Simplify (+ 1 0) into 1 5.157 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.157 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.157 * [taylor]: Taking taylor expansion of 1/2 in y 5.157 * [backup-simplify]: Simplify 1/2 into 1/2 5.157 * [taylor]: Taking taylor expansion of y in y 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.160 * [taylor]: Taking taylor expansion of 0 in y 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.161 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.161 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.161 * [taylor]: Taking taylor expansion of x in y 5.161 * [backup-simplify]: Simplify x into x 5.162 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.162 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.162 * [taylor]: Taking taylor expansion of y in y 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (* 1 1) into 1 5.162 * [backup-simplify]: Simplify (/ 1 1) into 1 5.163 * [backup-simplify]: Simplify (+ 0 1) into 1 5.163 * [backup-simplify]: Simplify (sqrt 1) into 1 5.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (+ 0 0) into 0 5.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.166 * [taylor]: Taking taylor expansion of x in x 5.166 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify 1 into 1 5.166 * [backup-simplify]: Simplify (* 1 1) into 1 5.167 * [backup-simplify]: Simplify (/ 1 1) into 1 5.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.167 * [taylor]: Taking taylor expansion of y in x 5.167 * [backup-simplify]: Simplify y into y 5.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.168 * [backup-simplify]: Simplify (+ 1 0) into 1 5.168 * [backup-simplify]: Simplify (sqrt 1) into 1 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ 0 0) into 0 5.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.171 * [taylor]: Taking taylor expansion of x in x 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (* 1 1) into 1 5.171 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.172 * [taylor]: Taking taylor expansion of y in x 5.172 * [backup-simplify]: Simplify y into y 5.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.172 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.172 * [backup-simplify]: Simplify (+ 1 0) into 1 5.173 * [backup-simplify]: Simplify (sqrt 1) into 1 5.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.175 * [taylor]: Taking taylor expansion of 1 in y 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [taylor]: Taking taylor expansion of 0 in y 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.177 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.179 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.179 * [taylor]: Taking taylor expansion of 1/2 in y 5.179 * [backup-simplify]: Simplify 1/2 into 1/2 5.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.179 * [taylor]: Taking taylor expansion of y in y 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (* 1 1) into 1 5.180 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.183 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.184 * [backup-simplify]: Simplify (+ 0 0) into 0 5.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.185 * [taylor]: Taking taylor expansion of 0 in y 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.187 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.187 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.188 * [taylor]: Taking taylor expansion of x in y 5.188 * [backup-simplify]: Simplify x into x 5.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.188 * [taylor]: Taking taylor expansion of y in y 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [backup-simplify]: Simplify (+ 0 1) into 1 5.190 * [backup-simplify]: Simplify (sqrt 1) into 1 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ 0 0) into 0 5.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.192 * [taylor]: Taking taylor expansion of x in x 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.193 * [taylor]: Taking taylor expansion of y in x 5.193 * [backup-simplify]: Simplify y into y 5.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.194 * [backup-simplify]: Simplify (+ 1 0) into 1 5.194 * [backup-simplify]: Simplify (sqrt 1) into 1 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.197 * [taylor]: Taking taylor expansion of x in x 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 1 into 1 5.197 * [backup-simplify]: Simplify (* 1 1) into 1 5.197 * [backup-simplify]: Simplify (/ 1 1) into 1 5.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.198 * [taylor]: Taking taylor expansion of y in x 5.198 * [backup-simplify]: Simplify y into y 5.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.198 * [backup-simplify]: Simplify (+ 1 0) into 1 5.198 * [backup-simplify]: Simplify (sqrt 1) into 1 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (+ 0 0) into 0 5.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.200 * [taylor]: Taking taylor expansion of 1 in y 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [taylor]: Taking taylor expansion of 0 in y 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.201 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.202 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.202 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.202 * [taylor]: Taking taylor expansion of 1/2 in y 5.202 * [backup-simplify]: Simplify 1/2 into 1/2 5.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.202 * [taylor]: Taking taylor expansion of y in y 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [backup-simplify]: Simplify (* 1 1) into 1 5.202 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.205 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.205 * [taylor]: Taking taylor expansion of 0 in y 5.205 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.207 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.207 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.207 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.207 * [taylor]: Taking taylor expansion of x in y 5.207 * [backup-simplify]: Simplify x into x 5.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.207 * [taylor]: Taking taylor expansion of y in y 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 1 into 1 5.207 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.207 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.207 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.207 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.208 * [backup-simplify]: Simplify (+ 0 0) into 0 5.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.208 * [taylor]: Taking taylor expansion of x in x 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify 1 into 1 5.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.208 * [taylor]: Taking taylor expansion of y in x 5.208 * [backup-simplify]: Simplify y into y 5.208 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.208 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.208 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.208 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.208 * [backup-simplify]: Simplify (+ 0 0) into 0 5.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.209 * [taylor]: Taking taylor expansion of x in x 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.209 * [taylor]: Taking taylor expansion of y in x 5.209 * [backup-simplify]: Simplify y into y 5.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.209 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.209 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.209 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.209 * [backup-simplify]: Simplify (+ 0 0) into 0 5.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.209 * [taylor]: Taking taylor expansion of y in y 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [taylor]: Taking taylor expansion of 0 in y 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (* 1 1) into 1 5.210 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.210 * [backup-simplify]: Simplify (+ 1 0) into 1 5.211 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.211 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.211 * [taylor]: Taking taylor expansion of 1/2 in y 5.211 * [backup-simplify]: Simplify 1/2 into 1/2 5.211 * [taylor]: Taking taylor expansion of y in y 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.213 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.213 * [backup-simplify]: Simplify (+ 0 0) into 0 5.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.213 * [taylor]: Taking taylor expansion of 0 in y 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.214 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.214 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.214 * [taylor]: Taking taylor expansion of x in y 5.214 * [backup-simplify]: Simplify x into x 5.214 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.214 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.214 * [taylor]: Taking taylor expansion of y in y 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (* 1 1) into 1 5.215 * [backup-simplify]: Simplify (/ 1 1) into 1 5.215 * [backup-simplify]: Simplify (+ 0 1) into 1 5.215 * [backup-simplify]: Simplify (sqrt 1) into 1 5.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (+ 0 0) into 0 5.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.217 * [taylor]: Taking taylor expansion of x in x 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (* 1 1) into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.217 * [taylor]: Taking taylor expansion of y in x 5.217 * [backup-simplify]: Simplify y into y 5.217 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.217 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.218 * [backup-simplify]: Simplify (+ 1 0) into 1 5.218 * [backup-simplify]: Simplify (sqrt 1) into 1 5.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.219 * [backup-simplify]: Simplify (+ 0 0) into 0 5.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.219 * [taylor]: Taking taylor expansion of x in x 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.220 * [backup-simplify]: Simplify (* 1 1) into 1 5.220 * [backup-simplify]: Simplify (/ 1 1) into 1 5.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.220 * [taylor]: Taking taylor expansion of y in x 5.220 * [backup-simplify]: Simplify y into y 5.220 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.220 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.220 * [backup-simplify]: Simplify (+ 1 0) into 1 5.221 * [backup-simplify]: Simplify (sqrt 1) into 1 5.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.222 * [taylor]: Taking taylor expansion of 1 in y 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [taylor]: Taking taylor expansion of 0 in y 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.223 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.224 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.224 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.224 * [taylor]: Taking taylor expansion of 1/2 in y 5.224 * [backup-simplify]: Simplify 1/2 into 1/2 5.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.224 * [taylor]: Taking taylor expansion of y in y 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.225 * [backup-simplify]: Simplify (* 1 1) into 1 5.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.227 * [backup-simplify]: Simplify (+ 0 0) into 0 5.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.228 * [taylor]: Taking taylor expansion of 0 in y 5.228 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.230 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.230 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.230 * [taylor]: Taking taylor expansion of x in y 5.230 * [backup-simplify]: Simplify x into x 5.230 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.230 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.230 * [taylor]: Taking taylor expansion of y in y 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (* 1 1) into 1 5.230 * [backup-simplify]: Simplify (/ 1 1) into 1 5.231 * [backup-simplify]: Simplify (+ 0 1) into 1 5.231 * [backup-simplify]: Simplify (sqrt 1) into 1 5.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (+ 0 0) into 0 5.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.232 * [taylor]: Taking taylor expansion of x in x 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (* 1 1) into 1 5.233 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.233 * [taylor]: Taking taylor expansion of y in x 5.233 * [backup-simplify]: Simplify y into y 5.233 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.233 * [backup-simplify]: Simplify (+ 1 0) into 1 5.234 * [backup-simplify]: Simplify (sqrt 1) into 1 5.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (+ 0 0) into 0 5.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.235 * [taylor]: Taking taylor expansion of x in x 5.235 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (* 1 1) into 1 5.236 * [backup-simplify]: Simplify (/ 1 1) into 1 5.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.236 * [taylor]: Taking taylor expansion of y in x 5.236 * [backup-simplify]: Simplify y into y 5.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.236 * [backup-simplify]: Simplify (+ 1 0) into 1 5.237 * [backup-simplify]: Simplify (sqrt 1) into 1 5.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.238 * [taylor]: Taking taylor expansion of 1 in y 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [taylor]: Taking taylor expansion of 0 in y 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.240 * [taylor]: Taking taylor expansion of 1/2 in y 5.240 * [backup-simplify]: Simplify 1/2 into 1/2 5.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.240 * [taylor]: Taking taylor expansion of y in y 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.241 * [backup-simplify]: Simplify (* 1 1) into 1 5.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.244 * [backup-simplify]: Simplify (+ 0 0) into 0 5.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.244 * [taylor]: Taking taylor expansion of 0 in y 5.244 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.245 * * * [progress]: simplifying candidates 5.246 * [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)))) (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)))) (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)))) (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)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 5.247 * * [simplify]: Extracting # 0 : cost 0 5.247 * * [simplify]: Extracting # 1 : cost 0 5.247 * * [simplify]: Extracting # 2 : cost 0 5.247 * * [simplify]: Extracting # 3 : cost 0 5.247 * * [simplify]: Extracting # 4 : cost 0 5.248 * * [simplify]: Extracting # 5 : cost 0 5.248 * * [simplify]: Extracting # 6 : cost 0 5.248 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 5.259 * * [simplify]: Extracting # 0 : cost 0 5.259 * * [simplify]: Extracting # 1 : cost 0 5.260 * * [simplify]: Extracting # 2 : cost 0 5.260 * * [simplify]: Extracting # 3 : cost 0 5.260 * * [simplify]: Extracting # 4 : cost 0 5.260 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 5.300 * * [simplify]: Extracting # 0 : cost 0 5.301 * * [simplify]: Extracting # 1 : cost 0 5.301 * * [simplify]: Extracting # 2 : cost 0 5.301 * * [simplify]: Extracting # 3 : cost 0 5.302 * * [simplify]: Extracting # 4 : cost 0 5.302 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 5.380 * * [simplify]: Extracting # 0 : cost 0 5.381 * * [simplify]: Extracting # 1 : cost 0 5.381 * * [simplify]: Extracting # 2 : cost 0 5.382 * * [simplify]: Extracting # 3 : cost 0 5.382 * * [simplify]: Extracting # 4 : cost 0 5.383 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 5.590 * * [simplify]: Extracting # 0 : cost 0 5.592 * * [simplify]: Extracting # 1 : cost 0 5.593 * * [simplify]: Extracting # 2 : cost 0 5.594 * * [simplify]: Extracting # 3 : cost 0 5.595 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 6.593 * * [simplify]: Extracting # 0 : cost 0 6.598 * * [simplify]: Extracting # 1 : cost 0 6.602 * * [simplify]: Extracting # 2 : cost 0 6.605 * * [simplify]: Extracting # 3 : cost 0 6.607 * * [simplify]: Extracting # 4 : cost 0 6.611 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 8.000 * * [simplify]: Extracting # 0 : cost 0 8.005 * * [simplify]: Extracting # 1 : cost 0 8.010 * * [simplify]: Extracting # 2 : cost 0 8.015 * * [simplify]: Extracting # 3 : cost 0 8.020 * * [simplify]: Extracting # 4 : cost 0 8.029 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 8.029 * [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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (- x) y x (- x) y x (- x) y x (- x) 8.030 * * * [progress]: adding candidates to table 8.320 * * [progress]: iteration 4 / 4 8.320 * * * [progress]: picking best candidate 8.325 * * * * [pick]: Picked # 8.325 * * * [progress]: localizing error 8.338 * * * [progress]: generating rewritten candidates 8.338 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 8.351 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 8.373 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 8.386 * * * [progress]: generating series expansions 8.387 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 8.387 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 8.387 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 8.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 8.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.387 * [taylor]: Taking taylor expansion of x in y 8.387 * [backup-simplify]: Simplify x into x 8.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.387 * [taylor]: Taking taylor expansion of y in y 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.387 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.387 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.387 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.388 * [taylor]: Taking taylor expansion of x in x 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 1 into 1 8.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.388 * [taylor]: Taking taylor expansion of y in x 8.388 * [backup-simplify]: Simplify y into y 8.389 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.389 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.389 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.389 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.389 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.389 * [taylor]: Taking taylor expansion of x in x 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.390 * [taylor]: Taking taylor expansion of y in x 8.390 * [backup-simplify]: Simplify y into y 8.390 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.390 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.390 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.390 * [backup-simplify]: Simplify (+ 0 0) into 0 8.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.391 * [taylor]: Taking taylor expansion of y in y 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [taylor]: Taking taylor expansion of 0 in y 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (* 1 1) into 1 8.391 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.392 * [backup-simplify]: Simplify (+ 1 0) into 1 8.393 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.393 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 8.393 * [taylor]: Taking taylor expansion of 1/2 in y 8.393 * [backup-simplify]: Simplify 1/2 into 1/2 8.393 * [taylor]: Taking taylor expansion of y in y 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 1 into 1 8.393 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.395 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.395 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 8.396 * [taylor]: Taking taylor expansion of 0 in y 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 8.397 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.397 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.397 * [taylor]: Taking taylor expansion of x in y 8.397 * [backup-simplify]: Simplify x into x 8.397 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.397 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.397 * [taylor]: Taking taylor expansion of y in y 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [backup-simplify]: Simplify (* 1 1) into 1 8.398 * [backup-simplify]: Simplify (/ 1 1) into 1 8.398 * [backup-simplify]: Simplify (+ 0 1) into 1 8.398 * [backup-simplify]: Simplify (sqrt 1) into 1 8.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (+ 0 0) into 0 8.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.400 * [taylor]: Taking taylor expansion of x in x 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify 1 into 1 8.400 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (/ 1 1) into 1 8.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.400 * [taylor]: Taking taylor expansion of y in x 8.400 * [backup-simplify]: Simplify y into y 8.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.400 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.401 * [backup-simplify]: Simplify (+ 1 0) into 1 8.401 * [backup-simplify]: Simplify (sqrt 1) into 1 8.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (+ 0 0) into 0 8.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.403 * [taylor]: Taking taylor expansion of x in x 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 1 into 1 8.403 * [backup-simplify]: Simplify (* 1 1) into 1 8.403 * [backup-simplify]: Simplify (/ 1 1) into 1 8.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.403 * [taylor]: Taking taylor expansion of y in x 8.403 * [backup-simplify]: Simplify y into y 8.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.404 * [backup-simplify]: Simplify (+ 1 0) into 1 8.404 * [backup-simplify]: Simplify (sqrt 1) into 1 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.405 * [backup-simplify]: Simplify (+ 0 0) into 0 8.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.405 * [taylor]: Taking taylor expansion of 1 in y 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [taylor]: Taking taylor expansion of 0 in y 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.408 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.408 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.408 * [taylor]: Taking taylor expansion of 1/2 in y 8.408 * [backup-simplify]: Simplify 1/2 into 1/2 8.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.408 * [taylor]: Taking taylor expansion of y in y 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [backup-simplify]: Simplify (* 1 1) into 1 8.408 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.411 * [backup-simplify]: Simplify (+ 0 0) into 0 8.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.411 * [taylor]: Taking taylor expansion of 0 in y 8.411 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.413 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.413 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.413 * [taylor]: Taking taylor expansion of x in y 8.413 * [backup-simplify]: Simplify x into x 8.413 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.413 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.413 * [taylor]: Taking taylor expansion of y in y 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (* 1 1) into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.414 * [backup-simplify]: Simplify (+ 0 1) into 1 8.414 * [backup-simplify]: Simplify (sqrt 1) into 1 8.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (+ 0 0) into 0 8.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.416 * [taylor]: Taking taylor expansion of x in x 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 1 into 1 8.416 * [backup-simplify]: Simplify (* 1 1) into 1 8.416 * [backup-simplify]: Simplify (/ 1 1) into 1 8.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.416 * [taylor]: Taking taylor expansion of y in x 8.416 * [backup-simplify]: Simplify y into y 8.416 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.416 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.417 * [backup-simplify]: Simplify (+ 1 0) into 1 8.417 * [backup-simplify]: Simplify (sqrt 1) into 1 8.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.418 * [backup-simplify]: Simplify (+ 0 0) into 0 8.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.418 * [taylor]: Taking taylor expansion of x in x 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify (* 1 1) into 1 8.419 * [backup-simplify]: Simplify (/ 1 1) into 1 8.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.419 * [taylor]: Taking taylor expansion of y in x 8.419 * [backup-simplify]: Simplify y into y 8.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.419 * [backup-simplify]: Simplify (+ 1 0) into 1 8.420 * [backup-simplify]: Simplify (sqrt 1) into 1 8.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (+ 0 0) into 0 8.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.421 * [taylor]: Taking taylor expansion of 1 in y 8.421 * [backup-simplify]: Simplify 1 into 1 8.421 * [taylor]: Taking taylor expansion of 0 in y 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.422 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.423 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.423 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.423 * [taylor]: Taking taylor expansion of 1/2 in y 8.423 * [backup-simplify]: Simplify 1/2 into 1/2 8.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.423 * [taylor]: Taking taylor expansion of y in y 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify 1 into 1 8.423 * [backup-simplify]: Simplify (* 1 1) into 1 8.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.426 * [backup-simplify]: Simplify (+ 0 0) into 0 8.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.427 * [taylor]: Taking taylor expansion of 0 in y 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 8.428 * * * * [progress]: [ 2 / 3 ] generating series at (2) 8.428 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 8.428 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 8.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 8.428 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.428 * [taylor]: Taking taylor expansion of x in y 8.428 * [backup-simplify]: Simplify x into x 8.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.428 * [taylor]: Taking taylor expansion of y in y 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.429 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.429 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.429 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.429 * [backup-simplify]: Simplify (+ 0 0) into 0 8.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.429 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.429 * [taylor]: Taking taylor expansion of x in x 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.429 * [taylor]: Taking taylor expansion of y in x 8.429 * [backup-simplify]: Simplify y into y 8.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.429 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.429 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.430 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.430 * [taylor]: Taking taylor expansion of x in x 8.430 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify 1 into 1 8.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.430 * [taylor]: Taking taylor expansion of y in x 8.430 * [backup-simplify]: Simplify y into y 8.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.430 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.430 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.431 * [taylor]: Taking taylor expansion of y in y 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [taylor]: Taking taylor expansion of 0 in y 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (* 1 1) into 1 8.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.432 * [backup-simplify]: Simplify (+ 1 0) into 1 8.432 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.432 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 8.432 * [taylor]: Taking taylor expansion of 1/2 in y 8.432 * [backup-simplify]: Simplify 1/2 into 1/2 8.432 * [taylor]: Taking taylor expansion of y in y 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.434 * [backup-simplify]: Simplify (+ 0 0) into 0 8.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 8.434 * [taylor]: Taking taylor expansion of 0 in y 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 8.435 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.435 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.435 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.435 * [taylor]: Taking taylor expansion of x in y 8.435 * [backup-simplify]: Simplify x into x 8.435 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.436 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.436 * [taylor]: Taking taylor expansion of y in y 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify 1 into 1 8.436 * [backup-simplify]: Simplify (* 1 1) into 1 8.436 * [backup-simplify]: Simplify (/ 1 1) into 1 8.436 * [backup-simplify]: Simplify (+ 0 1) into 1 8.437 * [backup-simplify]: Simplify (sqrt 1) into 1 8.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.438 * [backup-simplify]: Simplify (+ 0 0) into 0 8.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.438 * [taylor]: Taking taylor expansion of x in x 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.438 * [backup-simplify]: Simplify (* 1 1) into 1 8.439 * [backup-simplify]: Simplify (/ 1 1) into 1 8.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.439 * [taylor]: Taking taylor expansion of y in x 8.439 * [backup-simplify]: Simplify y into y 8.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.439 * [backup-simplify]: Simplify (+ 1 0) into 1 8.439 * [backup-simplify]: Simplify (sqrt 1) into 1 8.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.440 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.441 * [taylor]: Taking taylor expansion of x in x 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (* 1 1) into 1 8.441 * [backup-simplify]: Simplify (/ 1 1) into 1 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.441 * [taylor]: Taking taylor expansion of y in x 8.441 * [backup-simplify]: Simplify y into y 8.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.442 * [backup-simplify]: Simplify (+ 1 0) into 1 8.442 * [backup-simplify]: Simplify (sqrt 1) into 1 8.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.443 * [backup-simplify]: Simplify (+ 0 0) into 0 8.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.444 * [taylor]: Taking taylor expansion of 1 in y 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of 0 in y 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.446 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.446 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.446 * [taylor]: Taking taylor expansion of 1/2 in y 8.446 * [backup-simplify]: Simplify 1/2 into 1/2 8.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.446 * [taylor]: Taking taylor expansion of y in y 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 1 into 1 8.446 * [backup-simplify]: Simplify (* 1 1) into 1 8.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.449 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.449 * [backup-simplify]: Simplify (+ 0 0) into 0 8.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.450 * [taylor]: Taking taylor expansion of 0 in y 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.451 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.451 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.451 * [taylor]: Taking taylor expansion of x in y 8.451 * [backup-simplify]: Simplify x into x 8.451 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.452 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.452 * [taylor]: Taking taylor expansion of y in y 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify 1 into 1 8.452 * [backup-simplify]: Simplify (* 1 1) into 1 8.452 * [backup-simplify]: Simplify (/ 1 1) into 1 8.452 * [backup-simplify]: Simplify (+ 0 1) into 1 8.453 * [backup-simplify]: Simplify (sqrt 1) into 1 8.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (+ 0 0) into 0 8.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.454 * [taylor]: Taking taylor expansion of x in x 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 1 into 1 8.454 * [backup-simplify]: Simplify (* 1 1) into 1 8.455 * [backup-simplify]: Simplify (/ 1 1) into 1 8.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.455 * [taylor]: Taking taylor expansion of y in x 8.455 * [backup-simplify]: Simplify y into y 8.455 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.455 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.455 * [backup-simplify]: Simplify (+ 1 0) into 1 8.459 * [backup-simplify]: Simplify (sqrt 1) into 1 8.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.460 * [backup-simplify]: Simplify (+ 0 0) into 0 8.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.460 * [taylor]: Taking taylor expansion of x in x 8.460 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.461 * [backup-simplify]: Simplify (* 1 1) into 1 8.461 * [backup-simplify]: Simplify (/ 1 1) into 1 8.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.461 * [taylor]: Taking taylor expansion of y in x 8.461 * [backup-simplify]: Simplify y into y 8.461 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.461 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.461 * [backup-simplify]: Simplify (+ 1 0) into 1 8.462 * [backup-simplify]: Simplify (sqrt 1) into 1 8.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.463 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.463 * [taylor]: Taking taylor expansion of 1 in y 8.463 * [backup-simplify]: Simplify 1 into 1 8.463 * [taylor]: Taking taylor expansion of 0 in y 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.464 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.465 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.465 * [taylor]: Taking taylor expansion of 1/2 in y 8.465 * [backup-simplify]: Simplify 1/2 into 1/2 8.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.465 * [taylor]: Taking taylor expansion of y in y 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.466 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.468 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.468 * [backup-simplify]: Simplify (+ 0 0) into 0 8.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.469 * [taylor]: Taking taylor expansion of 0 in y 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 8.470 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 8.470 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 8.470 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 8.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.470 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.470 * [taylor]: Taking taylor expansion of x in y 8.470 * [backup-simplify]: Simplify x into x 8.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.470 * [taylor]: Taking taylor expansion of y in y 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.470 * [taylor]: Taking taylor expansion of x in x 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.470 * [taylor]: Taking taylor expansion of y in x 8.470 * [backup-simplify]: Simplify y into y 8.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.471 * [taylor]: Taking taylor expansion of x in x 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.471 * [taylor]: Taking taylor expansion of y in x 8.471 * [backup-simplify]: Simplify y into y 8.471 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.471 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.471 * [taylor]: Taking taylor expansion of y in y 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.471 * [backup-simplify]: Simplify (+ 0 0) into 0 8.471 * [taylor]: Taking taylor expansion of 0 in y 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.472 * [backup-simplify]: Simplify (+ 1 0) into 1 8.472 * [taylor]: Taking taylor expansion of 1 in y 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify 1 into 1 8.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.473 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.473 * [backup-simplify]: Simplify (+ 0 0) into 0 8.473 * [taylor]: Taking taylor expansion of 0 in y 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.475 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.475 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [taylor]: Taking taylor expansion of 0 in y 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 8.476 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.476 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.476 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.476 * [taylor]: Taking taylor expansion of x in y 8.476 * [backup-simplify]: Simplify x into x 8.476 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.476 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.476 * [taylor]: Taking taylor expansion of y in y 8.476 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify 1 into 1 8.476 * [backup-simplify]: Simplify (* 1 1) into 1 8.477 * [backup-simplify]: Simplify (/ 1 1) into 1 8.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.477 * [taylor]: Taking taylor expansion of x in x 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify (* 1 1) into 1 8.477 * [backup-simplify]: Simplify (/ 1 1) into 1 8.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.477 * [taylor]: Taking taylor expansion of y in x 8.477 * [backup-simplify]: Simplify y into y 8.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.477 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.478 * [taylor]: Taking taylor expansion of x in x 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 1 into 1 8.478 * [backup-simplify]: Simplify (* 1 1) into 1 8.478 * [backup-simplify]: Simplify (/ 1 1) into 1 8.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.478 * [taylor]: Taking taylor expansion of y in x 8.478 * [backup-simplify]: Simplify y into y 8.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.479 * [backup-simplify]: Simplify (+ 1 0) into 1 8.479 * [taylor]: Taking taylor expansion of 1 in y 8.479 * [backup-simplify]: Simplify 1 into 1 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.480 * [backup-simplify]: Simplify (+ 0 0) into 0 8.480 * [taylor]: Taking taylor expansion of 0 in y 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.481 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.481 * [taylor]: Taking taylor expansion of y in y 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (* 1 1) into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify 1 into 1 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.483 * [backup-simplify]: Simplify (+ 0 0) into 0 8.483 * [taylor]: Taking taylor expansion of 0 in y 8.483 * [backup-simplify]: Simplify 0 into 0 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.486 * [taylor]: Taking taylor expansion of 0 in y 8.486 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.488 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.488 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.488 * [taylor]: Taking taylor expansion of x in y 8.488 * [backup-simplify]: Simplify x into x 8.488 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.488 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.488 * [taylor]: Taking taylor expansion of y in y 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 1 into 1 8.488 * [backup-simplify]: Simplify (* 1 1) into 1 8.488 * [backup-simplify]: Simplify (/ 1 1) into 1 8.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.488 * [taylor]: Taking taylor expansion of x in x 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (* 1 1) into 1 8.489 * [backup-simplify]: Simplify (/ 1 1) into 1 8.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.489 * [taylor]: Taking taylor expansion of y in x 8.489 * [backup-simplify]: Simplify y into y 8.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.489 * [taylor]: Taking taylor expansion of x in x 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (* 1 1) into 1 8.490 * [backup-simplify]: Simplify (/ 1 1) into 1 8.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.490 * [taylor]: Taking taylor expansion of y in x 8.490 * [backup-simplify]: Simplify y into y 8.490 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.490 * [backup-simplify]: Simplify (+ 1 0) into 1 8.490 * [taylor]: Taking taylor expansion of 1 in y 8.490 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (+ 0 0) into 0 8.491 * [taylor]: Taking taylor expansion of 0 in y 8.491 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.493 * [taylor]: Taking taylor expansion of y in y 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [backup-simplify]: Simplify (* 1 1) into 1 8.493 * [backup-simplify]: Simplify (/ 1 1) into 1 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [backup-simplify]: Simplify 1 into 1 8.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.494 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.495 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [taylor]: Taking taylor expansion of 0 in y 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.498 * [backup-simplify]: Simplify (+ 0 0) into 0 8.498 * [taylor]: Taking taylor expansion of 0 in y 8.498 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.500 * * * [progress]: simplifying candidates 8.500 * [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 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (exp (log (sqrt (cbrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log 1)) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (exp (log (sqrt (- (* x x) (* y y))))) (log (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (exp (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (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) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 8.501 * * [simplify]: Extracting # 0 : cost 0 8.502 * * [simplify]: Extracting # 1 : cost 0 8.502 * * [simplify]: Extracting # 2 : cost 0 8.502 * * [simplify]: Extracting # 3 : cost 0 8.502 * * [simplify]: Extracting # 4 : cost 0 8.502 * * [simplify]: Extracting # 5 : cost 0 8.502 * * [simplify]: Extracting # 6 : cost 0 8.502 * * [simplify]: iteration 0 : 87 enodes (cost 739 ) 8.521 * * [simplify]: Extracting # 0 : cost 0 8.521 * * [simplify]: Extracting # 1 : cost 0 8.522 * * [simplify]: Extracting # 2 : cost 0 8.522 * * [simplify]: Extracting # 3 : cost 0 8.522 * * [simplify]: Extracting # 4 : cost 0 8.522 * * [simplify]: iteration 1 : 169 enodes (cost 626 ) 8.573 * * [simplify]: Extracting # 0 : cost 0 8.573 * * [simplify]: Extracting # 1 : cost 0 8.574 * * [simplify]: Extracting # 2 : cost 0 8.574 * * [simplify]: Extracting # 3 : cost 0 8.574 * * [simplify]: Extracting # 4 : cost 0 8.575 * * [simplify]: iteration 2 : 398 enodes (cost 534 ) 8.745 * * [simplify]: Extracting # 0 : cost 0 8.746 * * [simplify]: Extracting # 1 : cost 0 8.747 * * [simplify]: Extracting # 2 : cost 0 8.752 * * [simplify]: Extracting # 3 : cost 0 8.753 * * [simplify]: Extracting # 4 : cost 0 8.753 * * [simplify]: iteration 3 : 1056 enodes (cost 534 ) 9.473 * * [simplify]: Extracting # 0 : cost 0 9.478 * * [simplify]: Extracting # 1 : cost 0 9.481 * * [simplify]: Extracting # 2 : cost 0 9.485 * * [simplify]: Extracting # 3 : cost 0 9.488 * * [simplify]: Extracting # 4 : cost 0 9.491 * * [simplify]: iteration 4 : 2807 enodes (cost 528 ) 10.626 * * [simplify]: Extracting # 0 : cost 0 10.631 * * [simplify]: Extracting # 1 : cost 0 10.636 * * [simplify]: Extracting # 2 : cost 0 10.641 * * [simplify]: Extracting # 3 : cost 0 10.646 * * [simplify]: Extracting # 4 : cost 0 10.653 * * [simplify]: Extracting # 5 : cost 0 10.664 * * [simplify]: iteration done: 5001 enodes (cost 528 ) 10.665 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) E (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* 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 (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 10.665 * * * [progress]: adding candidates to table 10.827 * [progress]: [Phase 3 of 3] Extracting. 10.828 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.829 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 10.829 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 10.870 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 10.902 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # #) 10.942 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 10.976 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # # #) 11.014 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 11.038 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # # # #) 11.084 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # #) 11.113 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 11.158 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 11.205 * * * [regime]: Found split indices: #