15.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.015 * * [simplify]: Extracting # 0 : cost 0 0.015 * * [simplify]: Extracting # 1 : cost 0 0.015 * * [simplify]: Extracting # 2 : cost 0 0.015 * * [simplify]: Extracting # 3 : cost 0 0.015 * * [simplify]: Extracting # 4 : cost 0 0.015 * * [simplify]: Extracting # 5 : cost 0 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.017 * * [simplify]: Extracting # 0 : cost 0 0.017 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.053 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.085 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.085 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.085 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.085 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.087 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.087 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.088 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.088 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.092 * [taylor]: Taking taylor expansion of 1/2 in y 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [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 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (+ 0 1) into 1 0.101 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [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 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.104 * [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 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.107 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [backup-simplify]: Simplify (sqrt 1) into 1 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of 1/2 in y 0.112 * [backup-simplify]: Simplify 1/2 into 1/2 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.117 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [backup-simplify]: Simplify x into x 0.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (+ 0 1) 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 0.119 * [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 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.120 * [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 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify (sqrt 1) into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.125 * [taylor]: Taking taylor expansion of 1 in y 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [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)) 0.128 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of 1/2 in y 0.128 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [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 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [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 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [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 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.144 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.144 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.164 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.164 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [backup-simplify]: Simplify y into y 0.168 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [taylor]: Taking taylor expansion of 1 in y 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.185 * * * [progress]: simplifying candidates 0.186 * [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)) 0.187 * * [simplify]: Extracting # 0 : cost 0 0.188 * * [simplify]: Extracting # 1 : cost 0 0.188 * * [simplify]: Extracting # 2 : cost 0 0.188 * * [simplify]: Extracting # 3 : cost 0 0.188 * * [simplify]: Extracting # 4 : cost 0 0.188 * * [simplify]: Extracting # 5 : cost 0 0.188 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.210 * * [simplify]: Extracting # 0 : cost 0 0.210 * * [simplify]: Extracting # 1 : cost 0 0.211 * * [simplify]: Extracting # 2 : cost 0 0.211 * * [simplify]: Extracting # 3 : cost 0 0.211 * * [simplify]: Extracting # 4 : cost 0 0.212 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.276 * * [simplify]: Extracting # 0 : cost 0 0.277 * * [simplify]: Extracting # 1 : cost 0 0.278 * * [simplify]: Extracting # 2 : cost 0 0.278 * * [simplify]: Extracting # 3 : cost 0 0.279 * * [simplify]: Extracting # 4 : cost 0 0.279 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.500 * * [simplify]: Extracting # 0 : cost 0 0.501 * * [simplify]: Extracting # 1 : cost 0 0.502 * * [simplify]: Extracting # 2 : cost 0 0.503 * * [simplify]: Extracting # 3 : cost 0 0.504 * * [simplify]: Extracting # 4 : cost 0 0.509 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.306 * * [simplify]: Extracting # 0 : cost 0 1.309 * * [simplify]: Extracting # 1 : cost 0 1.312 * * [simplify]: Extracting # 2 : cost 0 1.320 * * [simplify]: Extracting # 3 : cost 0 1.322 * * [simplify]: Extracting # 4 : cost 0 1.324 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 2.725 * * [simplify]: Extracting # 0 : cost 0 2.734 * * [simplify]: Extracting # 1 : cost 0 2.740 * * [simplify]: Extracting # 2 : cost 0 2.745 * * [simplify]: Extracting # 3 : cost 0 2.750 * * [simplify]: Extracting # 4 : cost 0 2.755 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 2.756 * [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)) 2.756 * * * [progress]: adding candidates to table 2.866 * * [progress]: iteration 2 / 4 2.866 * * * [progress]: picking best candidate 2.882 * * * * [pick]: Picked # 2.882 * * * [progress]: localizing error 2.893 * * * [progress]: generating rewritten candidates 2.893 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.901 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.914 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.997 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.009 * * * [progress]: generating series expansions 3.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.010 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.010 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.010 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.010 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.010 * [taylor]: Taking taylor expansion of x in y 3.010 * [backup-simplify]: Simplify x into x 3.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.010 * [taylor]: Taking taylor expansion of y in y 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.010 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.010 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.010 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.011 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.011 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.011 * [taylor]: Taking taylor expansion of y in x 3.011 * [backup-simplify]: Simplify y into y 3.011 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.011 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.011 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.011 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.012 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.012 * [taylor]: Taking taylor expansion of y in x 3.012 * [backup-simplify]: Simplify y into y 3.012 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.012 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.013 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.013 * [taylor]: Taking taylor expansion of y in y 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [taylor]: Taking taylor expansion of 0 in y 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (* 1 1) into 1 3.014 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.014 * [backup-simplify]: Simplify (+ 1 0) into 1 3.015 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.015 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.015 * [taylor]: Taking taylor expansion of 1/2 in y 3.015 * [backup-simplify]: Simplify 1/2 into 1/2 3.015 * [taylor]: Taking taylor expansion of y in y 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.017 * [taylor]: Taking taylor expansion of 0 in y 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.018 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.018 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.018 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.018 * [taylor]: Taking taylor expansion of x in y 3.018 * [backup-simplify]: Simplify x into x 3.018 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.018 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.018 * [taylor]: Taking taylor expansion of y in y 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (* 1 1) into 1 3.019 * [backup-simplify]: Simplify (/ 1 1) into 1 3.019 * [backup-simplify]: Simplify (+ 0 1) into 1 3.019 * [backup-simplify]: Simplify (sqrt 1) into 1 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.021 * [taylor]: Taking taylor expansion of x in x 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (* 1 1) into 1 3.021 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.022 * [taylor]: Taking taylor expansion of y in x 3.022 * [backup-simplify]: Simplify y into y 3.022 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.022 * [backup-simplify]: Simplify (+ 1 0) into 1 3.022 * [backup-simplify]: Simplify (sqrt 1) into 1 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.024 * [taylor]: Taking taylor expansion of x in x 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (* 1 1) into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.025 * [taylor]: Taking taylor expansion of y in x 3.025 * [backup-simplify]: Simplify y into y 3.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.025 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.030 * [backup-simplify]: Simplify (+ 1 0) into 1 3.031 * [backup-simplify]: Simplify (sqrt 1) into 1 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.033 * [taylor]: Taking taylor expansion of 1 in y 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [taylor]: Taking taylor expansion of 0 in y 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.035 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.035 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.035 * [taylor]: Taking taylor expansion of 1/2 in y 3.035 * [backup-simplify]: Simplify 1/2 into 1/2 3.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.035 * [taylor]: Taking taylor expansion of y in y 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [backup-simplify]: Simplify (* 1 1) into 1 3.036 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.039 * [taylor]: Taking taylor expansion of 0 in y 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.040 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.040 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.041 * [taylor]: Taking taylor expansion of x in y 3.041 * [backup-simplify]: Simplify x into x 3.041 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.041 * [taylor]: Taking taylor expansion of y in y 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (* 1 1) into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [backup-simplify]: Simplify (+ 0 1) into 1 3.042 * [backup-simplify]: Simplify (sqrt 1) into 1 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.044 * [backup-simplify]: Simplify (* 1 1) into 1 3.044 * [backup-simplify]: Simplify (/ 1 1) into 1 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.044 * [taylor]: Taking taylor expansion of y in x 3.044 * [backup-simplify]: Simplify y into y 3.044 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.044 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.044 * [backup-simplify]: Simplify (+ 1 0) into 1 3.045 * [backup-simplify]: Simplify (sqrt 1) into 1 3.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.046 * [taylor]: Taking taylor expansion of x in x 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (* 1 1) into 1 3.047 * [backup-simplify]: Simplify (/ 1 1) into 1 3.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.047 * [taylor]: Taking taylor expansion of y in x 3.047 * [backup-simplify]: Simplify y into y 3.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.047 * [backup-simplify]: Simplify (+ 1 0) into 1 3.048 * [backup-simplify]: Simplify (sqrt 1) into 1 3.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ 0 0) into 0 3.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.050 * [taylor]: Taking taylor expansion of 1 in y 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [taylor]: Taking taylor expansion of 0 in y 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.054 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.054 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.054 * [taylor]: Taking taylor expansion of 1/2 in y 3.054 * [backup-simplify]: Simplify 1/2 into 1/2 3.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.054 * [taylor]: Taking taylor expansion of y in y 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (* 1 1) into 1 3.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.060 * [taylor]: Taking taylor expansion of 0 in y 3.060 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.062 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.062 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.063 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.063 * [taylor]: Taking taylor expansion of x in y 3.063 * [backup-simplify]: Simplify x into x 3.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.063 * [taylor]: Taking taylor expansion of y in y 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.063 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.063 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.063 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.064 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.064 * [taylor]: Taking taylor expansion of x in x 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.064 * [taylor]: Taking taylor expansion of y in x 3.064 * [backup-simplify]: Simplify y into y 3.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.064 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.064 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.065 * [backup-simplify]: Simplify (+ 0 0) into 0 3.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.065 * [taylor]: Taking taylor expansion of x in x 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.065 * [taylor]: Taking taylor expansion of y in x 3.065 * [backup-simplify]: Simplify y into y 3.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.066 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.066 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.066 * [taylor]: Taking taylor expansion of y in y 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [taylor]: Taking taylor expansion of 0 in y 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (* 1 1) into 1 3.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.068 * [backup-simplify]: Simplify (+ 1 0) into 1 3.069 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.069 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.069 * [taylor]: Taking taylor expansion of 1/2 in y 3.069 * [backup-simplify]: Simplify 1/2 into 1/2 3.069 * [taylor]: Taking taylor expansion of y in y 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify 1 into 1 3.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.072 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.072 * [backup-simplify]: Simplify (+ 0 0) into 0 3.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.072 * [taylor]: Taking taylor expansion of 0 in y 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.074 * [taylor]: Taking taylor expansion of x in y 3.074 * [backup-simplify]: Simplify x into x 3.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.074 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.074 * [taylor]: Taking taylor expansion of y in y 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [backup-simplify]: Simplify (+ 0 1) into 1 3.076 * [backup-simplify]: Simplify (sqrt 1) into 1 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ 0 0) into 0 3.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (* 1 1) into 1 3.079 * [backup-simplify]: Simplify (/ 1 1) into 1 3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.079 * [taylor]: Taking taylor expansion of y in x 3.079 * [backup-simplify]: Simplify y into y 3.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.080 * [backup-simplify]: Simplify (sqrt 1) into 1 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.083 * [taylor]: Taking taylor expansion of x in x 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (* 1 1) into 1 3.084 * [backup-simplify]: Simplify (/ 1 1) into 1 3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.084 * [taylor]: Taking taylor expansion of y in x 3.084 * [backup-simplify]: Simplify y into y 3.084 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.085 * [backup-simplify]: Simplify (+ 1 0) into 1 3.085 * [backup-simplify]: Simplify (sqrt 1) into 1 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (+ 0 0) into 0 3.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.088 * [taylor]: Taking taylor expansion of 1 in y 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [taylor]: Taking taylor expansion of 0 in y 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.091 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.091 * [taylor]: Taking taylor expansion of 1/2 in y 3.091 * [backup-simplify]: Simplify 1/2 into 1/2 3.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.091 * [taylor]: Taking taylor expansion of y in y 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (* 1 1) into 1 3.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.095 * [taylor]: Taking taylor expansion of 0 in y 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.096 * [taylor]: Taking taylor expansion of x in y 3.097 * [backup-simplify]: Simplify x into x 3.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.097 * [taylor]: Taking taylor expansion of y in y 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (* 1 1) into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [backup-simplify]: Simplify (+ 0 1) into 1 3.098 * [backup-simplify]: Simplify (sqrt 1) into 1 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (+ 0 0) into 0 3.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.099 * [taylor]: Taking taylor expansion of x in x 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (* 1 1) into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.100 * [taylor]: Taking taylor expansion of y in x 3.100 * [backup-simplify]: Simplify y into y 3.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.100 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.101 * [backup-simplify]: Simplify (+ 1 0) into 1 3.101 * [backup-simplify]: Simplify (sqrt 1) into 1 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.103 * [taylor]: Taking taylor expansion of x in x 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (* 1 1) into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.103 * [taylor]: Taking taylor expansion of y in x 3.103 * [backup-simplify]: Simplify y into y 3.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.104 * [backup-simplify]: Simplify (+ 1 0) into 1 3.104 * [backup-simplify]: Simplify (sqrt 1) into 1 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.106 * [taylor]: Taking taylor expansion of 1 in y 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of 0 in y 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.108 * [taylor]: Taking taylor expansion of 1/2 in y 3.108 * [backup-simplify]: Simplify 1/2 into 1/2 3.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.108 * [taylor]: Taking taylor expansion of y in y 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (* 1 1) into 1 3.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.111 * [taylor]: Taking taylor expansion of 0 in y 3.111 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.113 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.113 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 3.113 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.113 * [taylor]: Taking taylor expansion of x in y 3.113 * [backup-simplify]: Simplify x into x 3.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.113 * [taylor]: Taking taylor expansion of y in y 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.113 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.114 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.114 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.114 * [taylor]: Taking taylor expansion of x in x 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.114 * [taylor]: Taking taylor expansion of y in x 3.114 * [backup-simplify]: Simplify y into y 3.114 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.114 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.114 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.115 * [taylor]: Taking taylor expansion of x in x 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.115 * [taylor]: Taking taylor expansion of y in x 3.115 * [backup-simplify]: Simplify y into y 3.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.115 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.115 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.115 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.116 * [taylor]: Taking taylor expansion of y in y 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [taylor]: Taking taylor expansion of 0 in y 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.117 * [backup-simplify]: Simplify (+ 1 0) into 1 3.117 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.117 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.117 * [taylor]: Taking taylor expansion of 1/2 in y 3.117 * [backup-simplify]: Simplify 1/2 into 1/2 3.117 * [taylor]: Taking taylor expansion of y in y 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.120 * [taylor]: Taking taylor expansion of 0 in y 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.122 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.122 * [taylor]: Taking taylor expansion of x in y 3.122 * [backup-simplify]: Simplify x into x 3.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.122 * [taylor]: Taking taylor expansion of y in y 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (* 1 1) into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [backup-simplify]: Simplify (+ 0 1) into 1 3.124 * [backup-simplify]: Simplify (sqrt 1) into 1 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.126 * [taylor]: Taking taylor expansion of x in x 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (* 1 1) into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.127 * [taylor]: Taking taylor expansion of y in x 3.127 * [backup-simplify]: Simplify y into y 3.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.128 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (sqrt 1) into 1 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (* 1 1) into 1 3.132 * [backup-simplify]: Simplify (/ 1 1) into 1 3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.132 * [taylor]: Taking taylor expansion of y in x 3.132 * [backup-simplify]: Simplify y into y 3.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.132 * [backup-simplify]: Simplify (+ 1 0) into 1 3.133 * [backup-simplify]: Simplify (sqrt 1) into 1 3.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.135 * [taylor]: Taking taylor expansion of 1 in y 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [taylor]: Taking taylor expansion of 0 in y 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.139 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.139 * [taylor]: Taking taylor expansion of 1/2 in y 3.139 * [backup-simplify]: Simplify 1/2 into 1/2 3.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.139 * [taylor]: Taking taylor expansion of y in y 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.145 * [taylor]: Taking taylor expansion of 0 in y 3.145 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.148 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.148 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.148 * [taylor]: Taking taylor expansion of x in y 3.148 * [backup-simplify]: Simplify x into x 3.148 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.148 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.148 * [taylor]: Taking taylor expansion of y in y 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (* 1 1) into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.149 * [backup-simplify]: Simplify (+ 0 1) into 1 3.150 * [backup-simplify]: Simplify (sqrt 1) into 1 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify (+ 0 0) into 0 3.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.152 * [taylor]: Taking taylor expansion of x in x 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (/ 1 1) into 1 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.153 * [taylor]: Taking taylor expansion of y in x 3.153 * [backup-simplify]: Simplify y into y 3.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.161 * [backup-simplify]: Simplify (+ 1 0) into 1 3.161 * [backup-simplify]: Simplify (sqrt 1) into 1 3.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (* 1 1) into 1 3.165 * [backup-simplify]: Simplify (/ 1 1) into 1 3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.165 * [taylor]: Taking taylor expansion of y in x 3.165 * [backup-simplify]: Simplify y into y 3.165 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.165 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.166 * [backup-simplify]: Simplify (+ 1 0) into 1 3.166 * [backup-simplify]: Simplify (sqrt 1) into 1 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.169 * [taylor]: Taking taylor expansion of 1 in y 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [taylor]: Taking taylor expansion of 0 in y 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.173 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.173 * [taylor]: Taking taylor expansion of 1/2 in y 3.173 * [backup-simplify]: Simplify 1/2 into 1/2 3.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.173 * [taylor]: Taking taylor expansion of y in y 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (* 1 1) into 1 3.174 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.179 * [taylor]: Taking taylor expansion of 0 in y 3.179 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.181 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.181 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 3.181 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.181 * [taylor]: Taking taylor expansion of x in y 3.181 * [backup-simplify]: Simplify x into x 3.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.181 * [taylor]: Taking taylor expansion of y in y 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.181 * [taylor]: Taking taylor expansion of x in x 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.181 * [taylor]: Taking taylor expansion of y in x 3.181 * [backup-simplify]: Simplify y into y 3.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.181 * [taylor]: Taking taylor expansion of x in x 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.181 * [taylor]: Taking taylor expansion of y in x 3.181 * [backup-simplify]: Simplify y into y 3.181 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.182 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.182 * [taylor]: Taking taylor expansion of y in y 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.182 * [taylor]: Taking taylor expansion of 0 in y 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify (* 1 1) into 1 3.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.183 * [backup-simplify]: Simplify (+ 1 0) into 1 3.183 * [taylor]: Taking taylor expansion of 1 in y 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (* 1 1) into 1 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.185 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 0) into 0 3.185 * [taylor]: Taking taylor expansion of 0 in y 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.187 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [taylor]: Taking taylor expansion of 0 in y 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 3.188 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.188 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.188 * [taylor]: Taking taylor expansion of x in y 3.188 * [backup-simplify]: Simplify x into x 3.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.188 * [taylor]: Taking taylor expansion of y in y 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [backup-simplify]: Simplify (* 1 1) into 1 3.189 * [backup-simplify]: Simplify (/ 1 1) into 1 3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [backup-simplify]: Simplify (* 1 1) into 1 3.189 * [backup-simplify]: Simplify (/ 1 1) into 1 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.189 * [taylor]: Taking taylor expansion of y in x 3.189 * [backup-simplify]: Simplify y into y 3.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.189 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (* 1 1) into 1 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.190 * [taylor]: Taking taylor expansion of y in x 3.190 * [backup-simplify]: Simplify y into y 3.190 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.190 * [backup-simplify]: Simplify (+ 1 0) into 1 3.190 * [taylor]: Taking taylor expansion of 1 in y 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ 0 0) into 0 3.192 * [taylor]: Taking taylor expansion of 0 in y 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.193 * [taylor]: Taking taylor expansion of y in y 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [backup-simplify]: Simplify (* 1 1) into 1 3.193 * [backup-simplify]: Simplify (/ 1 1) into 1 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.195 * [backup-simplify]: Simplify (+ 0 0) into 0 3.195 * [taylor]: Taking taylor expansion of 0 in y 3.195 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.198 * [taylor]: Taking taylor expansion of 0 in y 3.198 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.200 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.200 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.200 * [taylor]: Taking taylor expansion of x in y 3.200 * [backup-simplify]: Simplify x into x 3.200 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.200 * [taylor]: Taking taylor expansion of y in y 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.201 * [taylor]: Taking taylor expansion of y in x 3.201 * [backup-simplify]: Simplify y into y 3.201 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.202 * [taylor]: Taking taylor expansion of x in x 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [backup-simplify]: Simplify (* 1 1) into 1 3.202 * [backup-simplify]: Simplify (/ 1 1) into 1 3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.202 * [taylor]: Taking taylor expansion of y in x 3.202 * [backup-simplify]: Simplify y into y 3.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.202 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.203 * [backup-simplify]: Simplify (+ 1 0) into 1 3.203 * [taylor]: Taking taylor expansion of 1 in y 3.203 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.204 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [taylor]: Taking taylor expansion of 0 in y 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.205 * [taylor]: Taking taylor expansion of y in y 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (* 1 1) into 1 3.206 * [backup-simplify]: Simplify (/ 1 1) into 1 3.206 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [taylor]: Taking taylor expansion of 0 in y 3.207 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [taylor]: Taking taylor expansion of 0 in y 3.210 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.212 * * * [progress]: simplifying candidates 3.214 * [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)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y)))))) (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (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)))))) (* (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* 1 1) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* 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) 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)) 3.219 * * [simplify]: Extracting # 0 : cost 0 3.219 * * [simplify]: Extracting # 1 : cost 0 3.219 * * [simplify]: Extracting # 2 : cost 0 3.220 * * [simplify]: Extracting # 3 : cost 0 3.220 * * [simplify]: Extracting # 4 : cost 0 3.220 * * [simplify]: Extracting # 5 : cost 0 3.221 * * [simplify]: Extracting # 6 : cost 0 3.221 * * [simplify]: iteration 0 : 121 enodes (cost 2803 ) 3.297 * * [simplify]: Extracting # 0 : cost 0 3.298 * * [simplify]: Extracting # 1 : cost 0 3.298 * * [simplify]: Extracting # 2 : cost 0 3.298 * * [simplify]: Extracting # 3 : cost 0 3.299 * * [simplify]: Extracting # 4 : cost 0 3.299 * * [simplify]: iteration 1 : 233 enodes (cost 1759 ) 3.392 * * [simplify]: Extracting # 0 : cost 0 3.399 * * [simplify]: Extracting # 1 : cost 0 3.400 * * [simplify]: Extracting # 2 : cost 0 3.401 * * [simplify]: Extracting # 3 : cost 0 3.402 * * [simplify]: Extracting # 4 : cost 0 3.404 * * [simplify]: iteration 2 : 638 enodes (cost 1533 ) 3.957 * * [simplify]: Extracting # 0 : cost 0 3.959 * * [simplify]: Extracting # 1 : cost 0 3.961 * * [simplify]: Extracting # 2 : cost 0 3.963 * * [simplify]: Extracting # 3 : cost 0 3.965 * * [simplify]: Extracting # 4 : cost 0 3.967 * * [simplify]: iteration 3 : 2187 enodes (cost 1496 ) 5.309 * * [simplify]: Extracting # 0 : cost 0 5.319 * * [simplify]: Extracting # 1 : cost 0 5.334 * * [simplify]: Extracting # 2 : cost 0 5.340 * * [simplify]: Extracting # 3 : cost 0 5.345 * * [simplify]: Extracting # 4 : cost 0 5.351 * * [simplify]: iteration done: 5000 enodes (cost 1457 ) 5.352 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4) (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)))) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4) (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)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* y y) (* x x)) (sqrt (+ (* x x) (* y y))) (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* y y) (* x x)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (+ (* y y) (* x x)) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4) (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)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 2 1/2 1 1/2 (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 5) (* (fabs (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (fabs (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (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 (+ (* y y) (* x x)) 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) (pow y 2)) y x (- x) y x (- x) y x (- x) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 5.353 * * * [progress]: adding candidates to table 5.695 * * [progress]: iteration 3 / 4 5.695 * * * [progress]: picking best candidate 5.710 * * * * [pick]: Picked # 5.710 * * * [progress]: localizing error 5.749 * * * [progress]: generating rewritten candidates 5.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 5.758 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 5.766 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 5.780 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 5.789 * * * [progress]: generating series expansions 5.789 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 5.789 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.789 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.789 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.789 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.789 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.789 * [taylor]: Taking taylor expansion of x in y 5.789 * [backup-simplify]: Simplify x into x 5.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.789 * [taylor]: Taking taylor expansion of y in y 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.790 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.790 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.790 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.790 * [backup-simplify]: Simplify (+ 0 0) into 0 5.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.790 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.790 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.790 * [taylor]: Taking taylor expansion of x in x 5.790 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.791 * [taylor]: Taking taylor expansion of y in x 5.791 * [backup-simplify]: Simplify y into y 5.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.791 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.791 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.791 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.791 * [backup-simplify]: Simplify (+ 0 0) into 0 5.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.791 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.791 * [taylor]: Taking taylor expansion of x in x 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.791 * [taylor]: Taking taylor expansion of y in x 5.791 * [backup-simplify]: Simplify y into y 5.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.792 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.792 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.792 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.792 * [backup-simplify]: Simplify (+ 0 0) into 0 5.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.792 * [taylor]: Taking taylor expansion of y in y 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [taylor]: Taking taylor expansion of 0 in y 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (* 1 1) into 1 5.793 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.793 * [backup-simplify]: Simplify (+ 1 0) into 1 5.794 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.794 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.794 * [taylor]: Taking taylor expansion of 1/2 in y 5.794 * [backup-simplify]: Simplify 1/2 into 1/2 5.794 * [taylor]: Taking taylor expansion of y in y 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify 1 into 1 5.794 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.795 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.796 * [backup-simplify]: Simplify (+ 0 0) into 0 5.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.796 * [taylor]: Taking taylor expansion of 0 in y 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.797 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.797 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.797 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.797 * [taylor]: Taking taylor expansion of x in y 5.797 * [backup-simplify]: Simplify x into x 5.797 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.797 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.797 * [taylor]: Taking taylor expansion of y in y 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (* 1 1) into 1 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [backup-simplify]: Simplify (+ 0 1) into 1 5.798 * [backup-simplify]: Simplify (sqrt 1) into 1 5.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (+ 0 0) into 0 5.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.800 * [taylor]: Taking taylor expansion of x in x 5.800 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify 1 into 1 5.800 * [backup-simplify]: Simplify (* 1 1) into 1 5.800 * [backup-simplify]: Simplify (/ 1 1) into 1 5.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.800 * [taylor]: Taking taylor expansion of y in x 5.800 * [backup-simplify]: Simplify y into y 5.800 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.800 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.801 * [backup-simplify]: Simplify (+ 1 0) into 1 5.801 * [backup-simplify]: Simplify (sqrt 1) into 1 5.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (+ 0 0) into 0 5.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.803 * [taylor]: Taking taylor expansion of x in x 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (* 1 1) into 1 5.803 * [backup-simplify]: Simplify (/ 1 1) into 1 5.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.803 * [taylor]: Taking taylor expansion of y in x 5.803 * [backup-simplify]: Simplify y into y 5.803 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.803 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.804 * [backup-simplify]: Simplify (+ 1 0) into 1 5.804 * [backup-simplify]: Simplify (sqrt 1) into 1 5.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.805 * [backup-simplify]: Simplify (+ 0 0) into 0 5.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.805 * [taylor]: Taking taylor expansion of 1 in y 5.805 * [backup-simplify]: Simplify 1 into 1 5.805 * [taylor]: Taking taylor expansion of 0 in y 5.805 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 1 into 1 5.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.808 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.808 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.808 * [taylor]: Taking taylor expansion of 1/2 in y 5.808 * [backup-simplify]: Simplify 1/2 into 1/2 5.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.808 * [taylor]: Taking taylor expansion of y in y 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify 1 into 1 5.808 * [backup-simplify]: Simplify (* 1 1) into 1 5.808 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.811 * [backup-simplify]: Simplify (+ 0 0) into 0 5.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.811 * [taylor]: Taking taylor expansion of 0 in y 5.811 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.813 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.813 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.813 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.813 * [taylor]: Taking taylor expansion of x in y 5.813 * [backup-simplify]: Simplify x into x 5.813 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.813 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.813 * [taylor]: Taking taylor expansion of y in y 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 1 into 1 5.813 * [backup-simplify]: Simplify (* 1 1) into 1 5.814 * [backup-simplify]: Simplify (/ 1 1) into 1 5.814 * [backup-simplify]: Simplify (+ 0 1) into 1 5.814 * [backup-simplify]: Simplify (sqrt 1) into 1 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.815 * [backup-simplify]: Simplify (+ 0 0) into 0 5.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [backup-simplify]: Simplify (* 1 1) into 1 5.816 * [backup-simplify]: Simplify (/ 1 1) into 1 5.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.816 * [taylor]: Taking taylor expansion of y in x 5.816 * [backup-simplify]: Simplify y into y 5.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.817 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.817 * [backup-simplify]: Simplify (+ 1 0) into 1 5.817 * [backup-simplify]: Simplify (sqrt 1) into 1 5.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.818 * [backup-simplify]: Simplify (+ 0 0) into 0 5.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.819 * [taylor]: Taking taylor expansion of x in x 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (* 1 1) into 1 5.820 * [backup-simplify]: Simplify (/ 1 1) into 1 5.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.820 * [taylor]: Taking taylor expansion of y in x 5.820 * [backup-simplify]: Simplify y into y 5.820 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.820 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.820 * [backup-simplify]: Simplify (+ 1 0) into 1 5.820 * [backup-simplify]: Simplify (sqrt 1) into 1 5.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.821 * [backup-simplify]: Simplify (+ 0 0) into 0 5.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.822 * [taylor]: Taking taylor expansion of 1 in y 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [taylor]: Taking taylor expansion of 0 in y 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.823 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.824 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.824 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.824 * [taylor]: Taking taylor expansion of 1/2 in y 5.824 * [backup-simplify]: Simplify 1/2 into 1/2 5.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.824 * [taylor]: Taking taylor expansion of y in y 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [backup-simplify]: Simplify (* 1 1) into 1 5.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.827 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.828 * [taylor]: Taking taylor expansion of 0 in y 5.828 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.830 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 5.830 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.830 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.830 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.830 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.830 * [taylor]: Taking taylor expansion of x in y 5.830 * [backup-simplify]: Simplify x into x 5.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.830 * [taylor]: Taking taylor expansion of y in y 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.830 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.830 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.830 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.830 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.831 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.831 * [taylor]: Taking taylor expansion of x in x 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.831 * [taylor]: Taking taylor expansion of y in x 5.831 * [backup-simplify]: Simplify y into y 5.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.831 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.831 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.831 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.832 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.832 * [taylor]: Taking taylor expansion of x in x 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.832 * [taylor]: Taking taylor expansion of y in x 5.832 * [backup-simplify]: Simplify y into y 5.832 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.832 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.832 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.832 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.832 * [backup-simplify]: Simplify (+ 0 0) into 0 5.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.832 * [taylor]: Taking taylor expansion of y in y 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [taylor]: Taking taylor expansion of 0 in y 5.832 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (* 1 1) into 1 5.833 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.833 * [backup-simplify]: Simplify (+ 1 0) into 1 5.834 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.834 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.834 * [taylor]: Taking taylor expansion of 1/2 in y 5.834 * [backup-simplify]: Simplify 1/2 into 1/2 5.834 * [taylor]: Taking taylor expansion of y in y 5.834 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify 1 into 1 5.834 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.836 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.836 * [backup-simplify]: Simplify (+ 0 0) into 0 5.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.836 * [taylor]: Taking taylor expansion of 0 in y 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.837 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.837 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.837 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.837 * [taylor]: Taking taylor expansion of x in y 5.837 * [backup-simplify]: Simplify x into x 5.837 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.837 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.837 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.837 * [taylor]: Taking taylor expansion of y in y 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 1 into 1 5.838 * [backup-simplify]: Simplify (* 1 1) into 1 5.838 * [backup-simplify]: Simplify (/ 1 1) into 1 5.838 * [backup-simplify]: Simplify (+ 0 1) into 1 5.838 * [backup-simplify]: Simplify (sqrt 1) into 1 5.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.840 * [taylor]: Taking taylor expansion of x in x 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (* 1 1) into 1 5.840 * [backup-simplify]: Simplify (/ 1 1) into 1 5.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.841 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.841 * [taylor]: Taking taylor expansion of y in x 5.841 * [backup-simplify]: Simplify y into y 5.841 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.841 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.841 * [backup-simplify]: Simplify (+ 1 0) into 1 5.841 * [backup-simplify]: Simplify (sqrt 1) into 1 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.842 * [backup-simplify]: Simplify (+ 0 0) into 0 5.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.843 * [taylor]: Taking taylor expansion of x in x 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [backup-simplify]: Simplify (* 1 1) into 1 5.843 * [backup-simplify]: Simplify (/ 1 1) into 1 5.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.843 * [taylor]: Taking taylor expansion of y in x 5.843 * [backup-simplify]: Simplify y into y 5.843 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.844 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.844 * [backup-simplify]: Simplify (+ 1 0) into 1 5.844 * [backup-simplify]: Simplify (sqrt 1) into 1 5.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify (+ 0 0) into 0 5.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.846 * [taylor]: Taking taylor expansion of 1 in y 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [taylor]: Taking taylor expansion of 0 in y 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.847 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.848 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.848 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.848 * [taylor]: Taking taylor expansion of 1/2 in y 5.848 * [backup-simplify]: Simplify 1/2 into 1/2 5.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.848 * [taylor]: Taking taylor expansion of y in y 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 1 into 1 5.848 * [backup-simplify]: Simplify (* 1 1) into 1 5.848 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.851 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.851 * [backup-simplify]: Simplify (+ 0 0) into 0 5.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.851 * [taylor]: Taking taylor expansion of 0 in y 5.851 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.853 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.853 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.853 * [taylor]: Taking taylor expansion of x in y 5.853 * [backup-simplify]: Simplify x into x 5.853 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.853 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.853 * [taylor]: Taking taylor expansion of y in y 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.853 * [backup-simplify]: Simplify (* 1 1) into 1 5.854 * [backup-simplify]: Simplify (/ 1 1) into 1 5.854 * [backup-simplify]: Simplify (+ 0 1) into 1 5.854 * [backup-simplify]: Simplify (sqrt 1) into 1 5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.855 * [backup-simplify]: Simplify (+ 0 0) into 0 5.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.856 * [taylor]: Taking taylor expansion of x in x 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (* 1 1) into 1 5.856 * [backup-simplify]: Simplify (/ 1 1) into 1 5.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.856 * [taylor]: Taking taylor expansion of y in x 5.856 * [backup-simplify]: Simplify y into y 5.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.857 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.857 * [backup-simplify]: Simplify (+ 1 0) into 1 5.857 * [backup-simplify]: Simplify (sqrt 1) into 1 5.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.858 * [backup-simplify]: Simplify (+ 0 0) into 0 5.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.859 * [taylor]: Taking taylor expansion of x in x 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.859 * [backup-simplify]: Simplify (* 1 1) into 1 5.859 * [backup-simplify]: Simplify (/ 1 1) into 1 5.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.859 * [taylor]: Taking taylor expansion of y in x 5.859 * [backup-simplify]: Simplify y into y 5.859 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.859 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.860 * [backup-simplify]: Simplify (+ 1 0) into 1 5.860 * [backup-simplify]: Simplify (sqrt 1) into 1 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.862 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.870 * [taylor]: Taking taylor expansion of 1 in y 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of 0 in y 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.872 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.874 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.874 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.874 * [taylor]: Taking taylor expansion of 1/2 in y 5.874 * [backup-simplify]: Simplify 1/2 into 1/2 5.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.874 * [taylor]: Taking taylor expansion of y in y 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 1 into 1 5.874 * [backup-simplify]: Simplify (* 1 1) into 1 5.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.878 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.879 * [backup-simplify]: Simplify (+ 0 0) into 0 5.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.880 * [taylor]: Taking taylor expansion of 0 in y 5.880 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 5.883 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.883 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.883 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.883 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.883 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.883 * [taylor]: Taking taylor expansion of x in y 5.883 * [backup-simplify]: Simplify x into x 5.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.883 * [taylor]: Taking taylor expansion of y in y 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.883 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.883 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.884 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.884 * [backup-simplify]: Simplify (+ 0 0) into 0 5.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.884 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.884 * [taylor]: Taking taylor expansion of x in x 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.884 * [taylor]: Taking taylor expansion of y in x 5.884 * [backup-simplify]: Simplify y into y 5.884 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.885 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.885 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.885 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.885 * [backup-simplify]: Simplify (+ 0 0) into 0 5.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.886 * [taylor]: Taking taylor expansion of y in x 5.886 * [backup-simplify]: Simplify y into y 5.886 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.886 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.886 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.886 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.887 * [backup-simplify]: Simplify (+ 0 0) into 0 5.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.887 * [taylor]: Taking taylor expansion of y in y 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [taylor]: Taking taylor expansion of 0 in y 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (* 1 1) into 1 5.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.889 * [backup-simplify]: Simplify (+ 1 0) into 1 5.889 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.889 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.890 * [taylor]: Taking taylor expansion of 1/2 in y 5.890 * [backup-simplify]: Simplify 1/2 into 1/2 5.890 * [taylor]: Taking taylor expansion of y in y 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.893 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.893 * [backup-simplify]: Simplify (+ 0 0) into 0 5.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.893 * [taylor]: Taking taylor expansion of 0 in y 5.893 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.895 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.895 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.895 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.895 * [taylor]: Taking taylor expansion of x in y 5.895 * [backup-simplify]: Simplify x into x 5.896 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.896 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.896 * [taylor]: Taking taylor expansion of y in y 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [backup-simplify]: Simplify (* 1 1) into 1 5.897 * [backup-simplify]: Simplify (/ 1 1) into 1 5.897 * [backup-simplify]: Simplify (+ 0 1) into 1 5.898 * [backup-simplify]: Simplify (sqrt 1) into 1 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (+ 0 0) into 0 5.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.901 * [taylor]: Taking taylor expansion of x in x 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 1 into 1 5.901 * [backup-simplify]: Simplify (* 1 1) into 1 5.901 * [backup-simplify]: Simplify (/ 1 1) into 1 5.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.902 * [taylor]: Taking taylor expansion of y in x 5.902 * [backup-simplify]: Simplify y into y 5.902 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.902 * [backup-simplify]: Simplify (+ 1 0) into 1 5.903 * [backup-simplify]: Simplify (sqrt 1) into 1 5.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.905 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.906 * [taylor]: Taking taylor expansion of x in x 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (* 1 1) into 1 5.906 * [backup-simplify]: Simplify (/ 1 1) into 1 5.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.906 * [taylor]: Taking taylor expansion of y in x 5.907 * [backup-simplify]: Simplify y into y 5.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.907 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.907 * [backup-simplify]: Simplify (+ 1 0) into 1 5.908 * [backup-simplify]: Simplify (sqrt 1) into 1 5.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.909 * [backup-simplify]: Simplify (+ 0 0) into 0 5.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.909 * [taylor]: Taking taylor expansion of 1 in y 5.909 * [backup-simplify]: Simplify 1 into 1 5.909 * [taylor]: Taking taylor expansion of 0 in y 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 1 into 1 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.911 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.911 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.911 * [taylor]: Taking taylor expansion of 1/2 in y 5.911 * [backup-simplify]: Simplify 1/2 into 1/2 5.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.911 * [taylor]: Taking taylor expansion of y in y 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 1 into 1 5.912 * [backup-simplify]: Simplify (* 1 1) into 1 5.912 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.914 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.915 * [backup-simplify]: Simplify (+ 0 0) into 0 5.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.915 * [taylor]: Taking taylor expansion of 0 in y 5.915 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.916 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.916 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.917 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.917 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.917 * [taylor]: Taking taylor expansion of x in y 5.917 * [backup-simplify]: Simplify x into x 5.917 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.917 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.917 * [taylor]: Taking taylor expansion of y in y 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 1 into 1 5.917 * [backup-simplify]: Simplify (* 1 1) into 1 5.917 * [backup-simplify]: Simplify (/ 1 1) into 1 5.918 * [backup-simplify]: Simplify (+ 0 1) into 1 5.918 * [backup-simplify]: Simplify (sqrt 1) into 1 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (+ 0 0) into 0 5.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.920 * [taylor]: Taking taylor expansion of x in x 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [backup-simplify]: Simplify (* 1 1) into 1 5.920 * [backup-simplify]: Simplify (/ 1 1) into 1 5.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.920 * [taylor]: Taking taylor expansion of y in x 5.920 * [backup-simplify]: Simplify y into y 5.920 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.921 * [backup-simplify]: Simplify (+ 1 0) into 1 5.921 * [backup-simplify]: Simplify (sqrt 1) into 1 5.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.922 * [backup-simplify]: Simplify (+ 0 0) into 0 5.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.923 * [taylor]: Taking taylor expansion of x in x 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [backup-simplify]: Simplify (* 1 1) into 1 5.923 * [backup-simplify]: Simplify (/ 1 1) into 1 5.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.923 * [taylor]: Taking taylor expansion of y in x 5.923 * [backup-simplify]: Simplify y into y 5.923 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.924 * [backup-simplify]: Simplify (+ 1 0) into 1 5.924 * [backup-simplify]: Simplify (sqrt 1) into 1 5.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (+ 0 0) into 0 5.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.926 * [taylor]: Taking taylor expansion of 1 in y 5.926 * [backup-simplify]: Simplify 1 into 1 5.926 * [taylor]: Taking taylor expansion of 0 in y 5.926 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify 1 into 1 5.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.927 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.928 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.928 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.928 * [taylor]: Taking taylor expansion of 1/2 in y 5.928 * [backup-simplify]: Simplify 1/2 into 1/2 5.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.928 * [taylor]: Taking taylor expansion of y in y 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify 1 into 1 5.928 * [backup-simplify]: Simplify (* 1 1) into 1 5.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.932 * [taylor]: Taking taylor expansion of 0 in y 5.932 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.933 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 5.933 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.933 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.933 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.933 * [taylor]: Taking taylor expansion of x in y 5.934 * [backup-simplify]: Simplify x into x 5.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.934 * [taylor]: Taking taylor expansion of y in y 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.934 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.934 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.934 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.934 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.934 * [taylor]: Taking taylor expansion of x in x 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.934 * [taylor]: Taking taylor expansion of y in x 5.934 * [backup-simplify]: Simplify y into y 5.934 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.935 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.935 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.935 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.935 * [backup-simplify]: Simplify (+ 0 0) into 0 5.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.935 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.935 * [taylor]: Taking taylor expansion of x in x 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.935 * [taylor]: Taking taylor expansion of y in x 5.935 * [backup-simplify]: Simplify y into y 5.935 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.935 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.935 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.935 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.936 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.936 * [taylor]: Taking taylor expansion of y in y 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [taylor]: Taking taylor expansion of 0 in y 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify (* 1 1) into 1 5.937 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.937 * [backup-simplify]: Simplify (+ 1 0) into 1 5.937 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.937 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.937 * [taylor]: Taking taylor expansion of 1/2 in y 5.937 * [backup-simplify]: Simplify 1/2 into 1/2 5.937 * [taylor]: Taking taylor expansion of y in y 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 1 into 1 5.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.938 * [backup-simplify]: Simplify 0 into 0 5.938 * [backup-simplify]: Simplify 0 into 0 5.938 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.939 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.939 * [backup-simplify]: Simplify (+ 0 0) into 0 5.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.940 * [taylor]: Taking taylor expansion of 0 in y 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.941 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.942 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.942 * [taylor]: Taking taylor expansion of x in y 5.942 * [backup-simplify]: Simplify x into x 5.942 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.942 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.942 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.942 * [taylor]: Taking taylor expansion of y in y 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [backup-simplify]: Simplify (* 1 1) into 1 5.943 * [backup-simplify]: Simplify (/ 1 1) into 1 5.943 * [backup-simplify]: Simplify (+ 0 1) into 1 5.944 * [backup-simplify]: Simplify (sqrt 1) into 1 5.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.945 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.946 * [taylor]: Taking taylor expansion of x in x 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.947 * [backup-simplify]: Simplify (* 1 1) into 1 5.947 * [backup-simplify]: Simplify (/ 1 1) into 1 5.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.947 * [taylor]: Taking taylor expansion of y in x 5.947 * [backup-simplify]: Simplify y into y 5.947 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.947 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.948 * [backup-simplify]: Simplify (+ 1 0) into 1 5.948 * [backup-simplify]: Simplify (sqrt 1) into 1 5.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.950 * [backup-simplify]: Simplify (+ 0 0) into 0 5.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.951 * [taylor]: Taking taylor expansion of x in x 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (* 1 1) into 1 5.951 * [backup-simplify]: Simplify (/ 1 1) into 1 5.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.951 * [taylor]: Taking taylor expansion of y in x 5.952 * [backup-simplify]: Simplify y into y 5.952 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.952 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.952 * [backup-simplify]: Simplify (+ 1 0) into 1 5.953 * [backup-simplify]: Simplify (sqrt 1) into 1 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.955 * [taylor]: Taking taylor expansion of 1 in y 5.955 * [backup-simplify]: Simplify 1 into 1 5.955 * [taylor]: Taking taylor expansion of 0 in y 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.957 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.957 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.957 * [taylor]: Taking taylor expansion of 1/2 in y 5.957 * [backup-simplify]: Simplify 1/2 into 1/2 5.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.957 * [taylor]: Taking taylor expansion of y in y 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 1 into 1 5.958 * [backup-simplify]: Simplify (* 1 1) into 1 5.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.960 * [backup-simplify]: Simplify (+ 0 0) into 0 5.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.961 * [taylor]: Taking taylor expansion of 0 in y 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.962 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.962 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.962 * [taylor]: Taking taylor expansion of x in y 5.962 * [backup-simplify]: Simplify x into x 5.962 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.963 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.963 * [taylor]: Taking taylor expansion of y in y 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (* 1 1) into 1 5.963 * [backup-simplify]: Simplify (/ 1 1) into 1 5.963 * [backup-simplify]: Simplify (+ 0 1) into 1 5.964 * [backup-simplify]: Simplify (sqrt 1) into 1 5.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (+ 0 0) into 0 5.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.965 * [taylor]: Taking taylor expansion of x in x 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify (* 1 1) into 1 5.966 * [backup-simplify]: Simplify (/ 1 1) into 1 5.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.966 * [taylor]: Taking taylor expansion of y in x 5.966 * [backup-simplify]: Simplify y into y 5.966 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.966 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.966 * [backup-simplify]: Simplify (+ 1 0) into 1 5.967 * [backup-simplify]: Simplify (sqrt 1) into 1 5.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.968 * [backup-simplify]: Simplify (+ 0 0) into 0 5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.968 * [taylor]: Taking taylor expansion of x in x 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.968 * [backup-simplify]: Simplify (* 1 1) into 1 5.969 * [backup-simplify]: Simplify (/ 1 1) into 1 5.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.969 * [taylor]: Taking taylor expansion of y in x 5.969 * [backup-simplify]: Simplify y into y 5.969 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.969 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.969 * [backup-simplify]: Simplify (+ 1 0) into 1 5.969 * [backup-simplify]: Simplify (sqrt 1) into 1 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (+ 0 0) into 0 5.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.971 * [taylor]: Taking taylor expansion of 1 in y 5.971 * [backup-simplify]: Simplify 1 into 1 5.971 * [taylor]: Taking taylor expansion of 0 in y 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 1 into 1 5.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.972 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.973 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.973 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.973 * [taylor]: Taking taylor expansion of 1/2 in y 5.973 * [backup-simplify]: Simplify 1/2 into 1/2 5.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.973 * [taylor]: Taking taylor expansion of y in y 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 1 into 1 5.973 * [backup-simplify]: Simplify (* 1 1) into 1 5.974 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.976 * [backup-simplify]: Simplify (+ 0 0) into 0 5.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.977 * [taylor]: Taking taylor expansion of 0 in y 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.978 * * * [progress]: simplifying candidates 5.979 * [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) 5.980 * * [simplify]: Extracting # 0 : cost 0 5.980 * * [simplify]: Extracting # 1 : cost 0 5.980 * * [simplify]: Extracting # 2 : cost 0 5.980 * * [simplify]: Extracting # 3 : cost 0 5.980 * * [simplify]: Extracting # 4 : cost 0 5.980 * * [simplify]: Extracting # 5 : cost 0 5.980 * * [simplify]: Extracting # 6 : cost 0 5.980 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 5.996 * * [simplify]: Extracting # 0 : cost 0 5.996 * * [simplify]: Extracting # 1 : cost 0 5.996 * * [simplify]: Extracting # 2 : cost 0 5.996 * * [simplify]: Extracting # 3 : cost 0 5.997 * * [simplify]: Extracting # 4 : cost 0 5.997 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 6.030 * * [simplify]: Extracting # 0 : cost 0 6.031 * * [simplify]: Extracting # 1 : cost 0 6.031 * * [simplify]: Extracting # 2 : cost 0 6.031 * * [simplify]: Extracting # 3 : cost 0 6.031 * * [simplify]: Extracting # 4 : cost 0 6.031 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 6.115 * * [simplify]: Extracting # 0 : cost 0 6.115 * * [simplify]: Extracting # 1 : cost 0 6.116 * * [simplify]: Extracting # 2 : cost 0 6.117 * * [simplify]: Extracting # 3 : cost 0 6.118 * * [simplify]: Extracting # 4 : cost 0 6.119 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 6.361 * * [simplify]: Extracting # 0 : cost 0 6.363 * * [simplify]: Extracting # 1 : cost 0 6.365 * * [simplify]: Extracting # 2 : cost 0 6.367 * * [simplify]: Extracting # 3 : cost 0 6.369 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 7.430 * * [simplify]: Extracting # 0 : cost 0 7.436 * * [simplify]: Extracting # 1 : cost 0 7.442 * * [simplify]: Extracting # 2 : cost 0 7.447 * * [simplify]: Extracting # 3 : cost 0 7.453 * * [simplify]: Extracting # 4 : cost 0 7.458 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 9.045 * * [simplify]: Extracting # 0 : cost 0 9.050 * * [simplify]: Extracting # 1 : cost 0 9.055 * * [simplify]: Extracting # 2 : cost 0 9.060 * * [simplify]: Extracting # 3 : cost 0 9.064 * * [simplify]: Extracting # 4 : cost 0 9.073 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 9.074 * [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) 9.074 * * * [progress]: adding candidates to table 9.489 * * [progress]: iteration 4 / 4 9.489 * * * [progress]: picking best candidate 9.497 * * * * [pick]: Picked # 9.497 * * * [progress]: localizing error 9.513 * * * [progress]: generating rewritten candidates 9.513 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 9.527 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 9.544 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 9.554 * * * [progress]: generating series expansions 9.554 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 9.554 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 9.554 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 9.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 9.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 9.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.554 * [taylor]: Taking taylor expansion of x in y 9.554 * [backup-simplify]: Simplify x into x 9.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.554 * [taylor]: Taking taylor expansion of y in y 9.554 * [backup-simplify]: Simplify 0 into 0 9.554 * [backup-simplify]: Simplify 1 into 1 9.554 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.554 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.554 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.554 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.555 * [backup-simplify]: Simplify (+ 0 0) into 0 9.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.555 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.555 * [taylor]: Taking taylor expansion of x in x 9.555 * [backup-simplify]: Simplify 0 into 0 9.555 * [backup-simplify]: Simplify 1 into 1 9.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.555 * [taylor]: Taking taylor expansion of y in x 9.555 * [backup-simplify]: Simplify y into y 9.555 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.555 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.555 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.555 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.556 * [backup-simplify]: Simplify (+ 0 0) into 0 9.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.556 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.556 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.556 * [taylor]: Taking taylor expansion of x in x 9.556 * [backup-simplify]: Simplify 0 into 0 9.556 * [backup-simplify]: Simplify 1 into 1 9.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.556 * [taylor]: Taking taylor expansion of y in x 9.556 * [backup-simplify]: Simplify y into y 9.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.556 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.556 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.556 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.556 * [backup-simplify]: Simplify (+ 0 0) into 0 9.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.557 * [taylor]: Taking taylor expansion of y in y 9.557 * [backup-simplify]: Simplify 0 into 0 9.557 * [backup-simplify]: Simplify 1 into 1 9.557 * [backup-simplify]: Simplify 0 into 0 9.557 * [taylor]: Taking taylor expansion of 0 in y 9.557 * [backup-simplify]: Simplify 0 into 0 9.557 * [backup-simplify]: Simplify 0 into 0 9.557 * [backup-simplify]: Simplify 1 into 1 9.557 * [backup-simplify]: Simplify (* 1 1) into 1 9.557 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.558 * [backup-simplify]: Simplify (+ 1 0) into 1 9.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 9.558 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 9.558 * [taylor]: Taking taylor expansion of 1/2 in y 9.558 * [backup-simplify]: Simplify 1/2 into 1/2 9.558 * [taylor]: Taking taylor expansion of y in y 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 1 into 1 9.559 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.560 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.560 * [backup-simplify]: Simplify (+ 0 0) into 0 9.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 9.560 * [taylor]: Taking taylor expansion of 0 in y 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 9.561 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.561 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.561 * [taylor]: Taking taylor expansion of x in y 9.561 * [backup-simplify]: Simplify x into x 9.561 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.562 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.562 * [taylor]: Taking taylor expansion of y in y 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 1 into 1 9.562 * [backup-simplify]: Simplify (* 1 1) into 1 9.562 * [backup-simplify]: Simplify (/ 1 1) into 1 9.562 * [backup-simplify]: Simplify (+ 0 1) into 1 9.563 * [backup-simplify]: Simplify (sqrt 1) into 1 9.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.564 * [backup-simplify]: Simplify (+ 0 0) into 0 9.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.564 * [taylor]: Taking taylor expansion of x in x 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.565 * [backup-simplify]: Simplify (* 1 1) into 1 9.565 * [backup-simplify]: Simplify (/ 1 1) into 1 9.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.565 * [taylor]: Taking taylor expansion of y in x 9.565 * [backup-simplify]: Simplify y into y 9.565 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.565 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.565 * [backup-simplify]: Simplify (+ 1 0) into 1 9.566 * [backup-simplify]: Simplify (sqrt 1) into 1 9.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.567 * [backup-simplify]: Simplify (+ 0 0) into 0 9.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.567 * [taylor]: Taking taylor expansion of x in x 9.567 * [backup-simplify]: Simplify 0 into 0 9.567 * [backup-simplify]: Simplify 1 into 1 9.567 * [backup-simplify]: Simplify (* 1 1) into 1 9.568 * [backup-simplify]: Simplify (/ 1 1) into 1 9.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.568 * [taylor]: Taking taylor expansion of y in x 9.568 * [backup-simplify]: Simplify y into y 9.568 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.568 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.568 * [backup-simplify]: Simplify (+ 1 0) into 1 9.568 * [backup-simplify]: Simplify (sqrt 1) into 1 9.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.570 * [backup-simplify]: Simplify (+ 0 0) into 0 9.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.570 * [taylor]: Taking taylor expansion of 1 in y 9.570 * [backup-simplify]: Simplify 1 into 1 9.570 * [taylor]: Taking taylor expansion of 0 in y 9.570 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify 1 into 1 9.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.571 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.572 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 9.572 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 9.572 * [taylor]: Taking taylor expansion of 1/2 in y 9.572 * [backup-simplify]: Simplify 1/2 into 1/2 9.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.572 * [taylor]: Taking taylor expansion of y in y 9.572 * [backup-simplify]: Simplify 0 into 0 9.572 * [backup-simplify]: Simplify 1 into 1 9.573 * [backup-simplify]: Simplify (* 1 1) into 1 9.573 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.578 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.579 * [backup-simplify]: Simplify (+ 0 0) into 0 9.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 9.579 * [taylor]: Taking taylor expansion of 0 in y 9.579 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 9.581 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.581 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.581 * [taylor]: Taking taylor expansion of x in y 9.581 * [backup-simplify]: Simplify x into x 9.581 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.581 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.581 * [taylor]: Taking taylor expansion of y in y 9.581 * [backup-simplify]: Simplify 0 into 0 9.581 * [backup-simplify]: Simplify 1 into 1 9.581 * [backup-simplify]: Simplify (* 1 1) into 1 9.581 * [backup-simplify]: Simplify (/ 1 1) into 1 9.582 * [backup-simplify]: Simplify (+ 0 1) into 1 9.582 * [backup-simplify]: Simplify (sqrt 1) into 1 9.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.583 * [backup-simplify]: Simplify (+ 0 0) into 0 9.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.584 * [taylor]: Taking taylor expansion of x in x 9.584 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify 1 into 1 9.584 * [backup-simplify]: Simplify (* 1 1) into 1 9.584 * [backup-simplify]: Simplify (/ 1 1) into 1 9.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.585 * [taylor]: Taking taylor expansion of y in x 9.585 * [backup-simplify]: Simplify y into y 9.585 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.585 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.585 * [backup-simplify]: Simplify (+ 1 0) into 1 9.586 * [backup-simplify]: Simplify (sqrt 1) into 1 9.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.587 * [backup-simplify]: Simplify (+ 0 0) into 0 9.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.588 * [taylor]: Taking taylor expansion of x in x 9.588 * [backup-simplify]: Simplify 0 into 0 9.588 * [backup-simplify]: Simplify 1 into 1 9.589 * [backup-simplify]: Simplify (* 1 1) into 1 9.589 * [backup-simplify]: Simplify (/ 1 1) into 1 9.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.589 * [taylor]: Taking taylor expansion of y in x 9.589 * [backup-simplify]: Simplify y into y 9.589 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.589 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.590 * [backup-simplify]: Simplify (+ 1 0) into 1 9.590 * [backup-simplify]: Simplify (sqrt 1) into 1 9.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.592 * [backup-simplify]: Simplify (+ 0 0) into 0 9.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.593 * [taylor]: Taking taylor expansion of 1 in y 9.593 * [backup-simplify]: Simplify 1 into 1 9.593 * [taylor]: Taking taylor expansion of 0 in y 9.593 * [backup-simplify]: Simplify 0 into 0 9.593 * [backup-simplify]: Simplify 1 into 1 9.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.595 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.607 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 9.607 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 9.607 * [taylor]: Taking taylor expansion of 1/2 in y 9.607 * [backup-simplify]: Simplify 1/2 into 1/2 9.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.607 * [taylor]: Taking taylor expansion of y in y 9.607 * [backup-simplify]: Simplify 0 into 0 9.607 * [backup-simplify]: Simplify 1 into 1 9.608 * [backup-simplify]: Simplify (* 1 1) into 1 9.608 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.613 * [backup-simplify]: Simplify (+ 0 0) into 0 9.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 9.614 * [taylor]: Taking taylor expansion of 0 in y 9.614 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.616 * [backup-simplify]: Simplify 0 into 0 9.616 * [backup-simplify]: Simplify 0 into 0 9.616 * [backup-simplify]: Simplify 0 into 0 9.616 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.616 * * * * [progress]: [ 2 / 3 ] generating series at (2) 9.617 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 9.617 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 9.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 9.617 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 9.617 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.617 * [taylor]: Taking taylor expansion of x in y 9.617 * [backup-simplify]: Simplify x into x 9.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.617 * [taylor]: Taking taylor expansion of y in y 9.617 * [backup-simplify]: Simplify 0 into 0 9.617 * [backup-simplify]: Simplify 1 into 1 9.617 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.617 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.617 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.617 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.618 * [backup-simplify]: Simplify (+ 0 0) into 0 9.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.618 * [taylor]: Taking taylor expansion of x in x 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.618 * [taylor]: Taking taylor expansion of y in x 9.618 * [backup-simplify]: Simplify y into y 9.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.618 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.619 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.619 * [backup-simplify]: Simplify (+ 0 0) into 0 9.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.619 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.619 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.619 * [taylor]: Taking taylor expansion of x in x 9.619 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify 1 into 1 9.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.619 * [taylor]: Taking taylor expansion of y in x 9.619 * [backup-simplify]: Simplify y into y 9.620 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.620 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.620 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.620 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.620 * [backup-simplify]: Simplify (+ 0 0) into 0 9.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.620 * [taylor]: Taking taylor expansion of y in y 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [taylor]: Taking taylor expansion of 0 in y 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [backup-simplify]: Simplify (* 1 1) into 1 9.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.622 * [backup-simplify]: Simplify (+ 1 0) into 1 9.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 9.623 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 9.623 * [taylor]: Taking taylor expansion of 1/2 in y 9.623 * [backup-simplify]: Simplify 1/2 into 1/2 9.623 * [taylor]: Taking taylor expansion of y in y 9.623 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify 1 into 1 9.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.624 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify 0 into 0 9.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.626 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.626 * [backup-simplify]: Simplify (+ 0 0) into 0 9.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 9.626 * [taylor]: Taking taylor expansion of 0 in y 9.626 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.628 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 9.628 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.628 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.629 * [taylor]: Taking taylor expansion of x in y 9.629 * [backup-simplify]: Simplify x into x 9.629 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.629 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.629 * [taylor]: Taking taylor expansion of y in y 9.629 * [backup-simplify]: Simplify 0 into 0 9.629 * [backup-simplify]: Simplify 1 into 1 9.629 * [backup-simplify]: Simplify (* 1 1) into 1 9.630 * [backup-simplify]: Simplify (/ 1 1) into 1 9.630 * [backup-simplify]: Simplify (+ 0 1) into 1 9.631 * [backup-simplify]: Simplify (sqrt 1) into 1 9.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.632 * [backup-simplify]: Simplify (+ 0 0) into 0 9.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.633 * [taylor]: Taking taylor expansion of x in x 9.633 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify 1 into 1 9.634 * [backup-simplify]: Simplify (* 1 1) into 1 9.634 * [backup-simplify]: Simplify (/ 1 1) into 1 9.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.634 * [taylor]: Taking taylor expansion of y in x 9.634 * [backup-simplify]: Simplify y into y 9.634 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.634 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.635 * [backup-simplify]: Simplify (+ 1 0) into 1 9.635 * [backup-simplify]: Simplify (sqrt 1) into 1 9.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.637 * [backup-simplify]: Simplify (+ 0 0) into 0 9.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.638 * [taylor]: Taking taylor expansion of x in x 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.638 * [backup-simplify]: Simplify (* 1 1) into 1 9.639 * [backup-simplify]: Simplify (/ 1 1) into 1 9.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.639 * [taylor]: Taking taylor expansion of y in x 9.639 * [backup-simplify]: Simplify y into y 9.639 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.639 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.639 * [backup-simplify]: Simplify (+ 1 0) into 1 9.640 * [backup-simplify]: Simplify (sqrt 1) into 1 9.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.642 * [backup-simplify]: Simplify (+ 0 0) into 0 9.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.643 * [taylor]: Taking taylor expansion of 1 in y 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [taylor]: Taking taylor expansion of 0 in y 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.645 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.646 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 9.646 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 9.646 * [taylor]: Taking taylor expansion of 1/2 in y 9.646 * [backup-simplify]: Simplify 1/2 into 1/2 9.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.646 * [taylor]: Taking taylor expansion of y in y 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 1 into 1 9.647 * [backup-simplify]: Simplify (* 1 1) into 1 9.647 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.649 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.651 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.652 * [backup-simplify]: Simplify (+ 0 0) into 0 9.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 9.652 * [taylor]: Taking taylor expansion of 0 in y 9.653 * [backup-simplify]: Simplify 0 into 0 9.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.655 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 9.655 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.655 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.655 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.655 * [taylor]: Taking taylor expansion of x in y 9.655 * [backup-simplify]: Simplify x into x 9.655 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.656 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.656 * [taylor]: Taking taylor expansion of y in y 9.656 * [backup-simplify]: Simplify 0 into 0 9.656 * [backup-simplify]: Simplify 1 into 1 9.656 * [backup-simplify]: Simplify (* 1 1) into 1 9.657 * [backup-simplify]: Simplify (/ 1 1) into 1 9.657 * [backup-simplify]: Simplify (+ 0 1) into 1 9.657 * [backup-simplify]: Simplify (sqrt 1) into 1 9.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ 0 0) into 0 9.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.660 * [taylor]: Taking taylor expansion of x in x 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify 1 into 1 9.660 * [backup-simplify]: Simplify (* 1 1) into 1 9.661 * [backup-simplify]: Simplify (/ 1 1) into 1 9.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.661 * [taylor]: Taking taylor expansion of y in x 9.661 * [backup-simplify]: Simplify y into y 9.661 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.662 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.662 * [backup-simplify]: Simplify (+ 1 0) into 1 9.662 * [backup-simplify]: Simplify (sqrt 1) into 1 9.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.664 * [backup-simplify]: Simplify (+ 0 0) into 0 9.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.665 * [taylor]: Taking taylor expansion of x in x 9.665 * [backup-simplify]: Simplify 0 into 0 9.665 * [backup-simplify]: Simplify 1 into 1 9.665 * [backup-simplify]: Simplify (* 1 1) into 1 9.666 * [backup-simplify]: Simplify (/ 1 1) into 1 9.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.666 * [taylor]: Taking taylor expansion of y in x 9.666 * [backup-simplify]: Simplify y into y 9.666 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.666 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.667 * [backup-simplify]: Simplify (+ 1 0) into 1 9.667 * [backup-simplify]: Simplify (sqrt 1) into 1 9.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.669 * [backup-simplify]: Simplify (+ 0 0) into 0 9.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.670 * [taylor]: Taking taylor expansion of 1 in y 9.670 * [backup-simplify]: Simplify 1 into 1 9.670 * [taylor]: Taking taylor expansion of 0 in y 9.670 * [backup-simplify]: Simplify 0 into 0 9.670 * [backup-simplify]: Simplify 1 into 1 9.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.672 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.673 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 9.673 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 9.673 * [taylor]: Taking taylor expansion of 1/2 in y 9.673 * [backup-simplify]: Simplify 1/2 into 1/2 9.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.673 * [taylor]: Taking taylor expansion of y in y 9.673 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify 1 into 1 9.674 * [backup-simplify]: Simplify (* 1 1) into 1 9.674 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify 0 into 0 9.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.678 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.678 * [backup-simplify]: Simplify (+ 0 0) into 0 9.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 9.679 * [taylor]: Taking taylor expansion of 0 in y 9.679 * [backup-simplify]: Simplify 0 into 0 9.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.681 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 9.681 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 9.681 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 9.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 9.682 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.682 * [taylor]: Taking taylor expansion of x in y 9.682 * [backup-simplify]: Simplify x into x 9.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.682 * [taylor]: Taking taylor expansion of y in y 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.682 * [taylor]: Taking taylor expansion of x in x 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.682 * [taylor]: Taking taylor expansion of y in x 9.682 * [backup-simplify]: Simplify y into y 9.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.682 * [taylor]: Taking taylor expansion of x in x 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.682 * [taylor]: Taking taylor expansion of y in x 9.682 * [backup-simplify]: Simplify y into y 9.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.682 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.682 * [taylor]: Taking taylor expansion of y in y 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 1 into 1 9.683 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.683 * [backup-simplify]: Simplify (+ 0 0) into 0 9.683 * [taylor]: Taking taylor expansion of 0 in y 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify (* 1 1) into 1 9.684 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.684 * [backup-simplify]: Simplify (+ 1 0) into 1 9.684 * [taylor]: Taking taylor expansion of 1 in y 9.684 * [backup-simplify]: Simplify 1 into 1 9.684 * [backup-simplify]: Simplify 1 into 1 9.684 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify (* 1 1) into 1 9.685 * [backup-simplify]: Simplify 1 into 1 9.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.686 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.687 * [backup-simplify]: Simplify (+ 0 0) into 0 9.687 * [taylor]: Taking taylor expansion of 0 in y 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.689 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.690 * [backup-simplify]: Simplify (+ 0 0) into 0 9.690 * [taylor]: Taking taylor expansion of 0 in y 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 9.691 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 9.691 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 9.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.691 * [taylor]: Taking taylor expansion of x in y 9.691 * [backup-simplify]: Simplify x into x 9.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.691 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.691 * [taylor]: Taking taylor expansion of y in y 9.691 * [backup-simplify]: Simplify 0 into 0 9.691 * [backup-simplify]: Simplify 1 into 1 9.692 * [backup-simplify]: Simplify (* 1 1) into 1 9.692 * [backup-simplify]: Simplify (/ 1 1) into 1 9.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.692 * [taylor]: Taking taylor expansion of x in x 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 1 into 1 9.693 * [backup-simplify]: Simplify (* 1 1) into 1 9.693 * [backup-simplify]: Simplify (/ 1 1) into 1 9.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.693 * [taylor]: Taking taylor expansion of y in x 9.693 * [backup-simplify]: Simplify y into y 9.693 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.693 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.694 * [taylor]: Taking taylor expansion of x in x 9.694 * [backup-simplify]: Simplify 0 into 0 9.694 * [backup-simplify]: Simplify 1 into 1 9.694 * [backup-simplify]: Simplify (* 1 1) into 1 9.694 * [backup-simplify]: Simplify (/ 1 1) into 1 9.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.694 * [taylor]: Taking taylor expansion of y in x 9.694 * [backup-simplify]: Simplify y into y 9.695 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.695 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.695 * [backup-simplify]: Simplify (+ 1 0) into 1 9.695 * [taylor]: Taking taylor expansion of 1 in y 9.695 * [backup-simplify]: Simplify 1 into 1 9.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.697 * [backup-simplify]: Simplify (+ 0 0) into 0 9.697 * [taylor]: Taking taylor expansion of 0 in y 9.697 * [backup-simplify]: Simplify 0 into 0 9.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.699 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.699 * [taylor]: Taking taylor expansion of y in y 9.699 * [backup-simplify]: Simplify 0 into 0 9.699 * [backup-simplify]: Simplify 1 into 1 9.699 * [backup-simplify]: Simplify (* 1 1) into 1 9.700 * [backup-simplify]: Simplify (/ 1 1) into 1 9.700 * [backup-simplify]: Simplify 1 into 1 9.700 * [backup-simplify]: Simplify 1 into 1 9.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.702 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.703 * [backup-simplify]: Simplify (+ 0 0) into 0 9.703 * [taylor]: Taking taylor expansion of 0 in y 9.703 * [backup-simplify]: Simplify 0 into 0 9.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.707 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.708 * [backup-simplify]: Simplify (+ 0 0) into 0 9.708 * [taylor]: Taking taylor expansion of 0 in y 9.708 * [backup-simplify]: Simplify 0 into 0 9.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.710 * [backup-simplify]: Simplify 0 into 0 9.710 * [backup-simplify]: Simplify 0 into 0 9.710 * [backup-simplify]: Simplify 0 into 0 9.710 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 9.710 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 9.711 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 9.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.711 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.711 * [taylor]: Taking taylor expansion of x in y 9.711 * [backup-simplify]: Simplify x into x 9.711 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.711 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.711 * [taylor]: Taking taylor expansion of y in y 9.711 * [backup-simplify]: Simplify 0 into 0 9.711 * [backup-simplify]: Simplify 1 into 1 9.711 * [backup-simplify]: Simplify (* 1 1) into 1 9.712 * [backup-simplify]: Simplify (/ 1 1) into 1 9.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.712 * [taylor]: Taking taylor expansion of x in x 9.712 * [backup-simplify]: Simplify 0 into 0 9.712 * [backup-simplify]: Simplify 1 into 1 9.712 * [backup-simplify]: Simplify (* 1 1) into 1 9.713 * [backup-simplify]: Simplify (/ 1 1) into 1 9.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.713 * [taylor]: Taking taylor expansion of y in x 9.713 * [backup-simplify]: Simplify y into y 9.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.713 * [taylor]: Taking taylor expansion of x in x 9.713 * [backup-simplify]: Simplify 0 into 0 9.713 * [backup-simplify]: Simplify 1 into 1 9.714 * [backup-simplify]: Simplify (* 1 1) into 1 9.714 * [backup-simplify]: Simplify (/ 1 1) into 1 9.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.714 * [taylor]: Taking taylor expansion of y in x 9.714 * [backup-simplify]: Simplify y into y 9.714 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.714 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.715 * [backup-simplify]: Simplify (+ 1 0) into 1 9.715 * [taylor]: Taking taylor expansion of 1 in y 9.715 * [backup-simplify]: Simplify 1 into 1 9.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.717 * [backup-simplify]: Simplify (+ 0 0) into 0 9.717 * [taylor]: Taking taylor expansion of 0 in y 9.717 * [backup-simplify]: Simplify 0 into 0 9.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.719 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.719 * [taylor]: Taking taylor expansion of y in y 9.719 * [backup-simplify]: Simplify 0 into 0 9.719 * [backup-simplify]: Simplify 1 into 1 9.719 * [backup-simplify]: Simplify (* 1 1) into 1 9.719 * [backup-simplify]: Simplify (/ 1 1) into 1 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [backup-simplify]: Simplify 1 into 1 9.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.722 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.722 * [backup-simplify]: Simplify (+ 0 0) into 0 9.722 * [taylor]: Taking taylor expansion of 0 in y 9.722 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.724 * [backup-simplify]: Simplify 0 into 0 9.724 * [backup-simplify]: Simplify 0 into 0 9.724 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.726 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.727 * [backup-simplify]: Simplify (+ 0 0) into 0 9.727 * [taylor]: Taking taylor expansion of 0 in y 9.727 * [backup-simplify]: Simplify 0 into 0 9.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 9.730 * * * [progress]: simplifying candidates 9.731 * [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)) 9.733 * * [simplify]: Extracting # 0 : cost 0 9.733 * * [simplify]: Extracting # 1 : cost 0 9.734 * * [simplify]: Extracting # 2 : cost 0 9.734 * * [simplify]: Extracting # 3 : cost 0 9.734 * * [simplify]: Extracting # 4 : cost 0 9.734 * * [simplify]: Extracting # 5 : cost 0 9.734 * * [simplify]: Extracting # 6 : cost 0 9.735 * * [simplify]: iteration 0 : 87 enodes (cost 739 ) 9.767 * * [simplify]: Extracting # 0 : cost 0 9.768 * * [simplify]: Extracting # 1 : cost 0 9.768 * * [simplify]: Extracting # 2 : cost 0 9.768 * * [simplify]: Extracting # 3 : cost 0 9.768 * * [simplify]: Extracting # 4 : cost 0 9.768 * * [simplify]: iteration 1 : 169 enodes (cost 626 ) 9.814 * * [simplify]: Extracting # 0 : cost 0 9.814 * * [simplify]: Extracting # 1 : cost 0 9.815 * * [simplify]: Extracting # 2 : cost 0 9.815 * * [simplify]: Extracting # 3 : cost 0 9.815 * * [simplify]: Extracting # 4 : cost 0 9.816 * * [simplify]: iteration 2 : 398 enodes (cost 534 ) 10.030 * * [simplify]: Extracting # 0 : cost 0 10.033 * * [simplify]: Extracting # 1 : cost 0 10.035 * * [simplify]: Extracting # 2 : cost 0 10.036 * * [simplify]: Extracting # 3 : cost 0 10.037 * * [simplify]: Extracting # 4 : cost 0 10.038 * * [simplify]: iteration 3 : 1056 enodes (cost 534 ) 10.987 * * [simplify]: Extracting # 0 : cost 0 10.994 * * [simplify]: Extracting # 1 : cost 0 10.999 * * [simplify]: Extracting # 2 : cost 0 11.004 * * [simplify]: Extracting # 3 : cost 0 11.009 * * [simplify]: Extracting # 4 : cost 0 11.013 * * [simplify]: iteration 4 : 2807 enodes (cost 528 ) 12.477 * * [simplify]: Extracting # 0 : cost 0 12.482 * * [simplify]: Extracting # 1 : cost 0 12.487 * * [simplify]: Extracting # 2 : cost 0 12.501 * * [simplify]: Extracting # 3 : cost 0 12.510 * * [simplify]: Extracting # 4 : cost 0 12.520 * * [simplify]: Extracting # 5 : cost 0 12.531 * * [simplify]: iteration done: 5001 enodes (cost 528 ) 12.532 * [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)) 12.532 * * * [progress]: adding candidates to table 12.692 * [progress]: [Phase 3 of 3] Extracting. 12.692 * * [regime]: Finding splitpoints for: (# # # # # # # # # #)