38.624 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: Extracting # 3 : cost 0 0.018 * * [simplify]: Extracting # 4 : cost 0 0.018 * * [simplify]: Extracting # 5 : cost 0 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.070 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.070 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.070 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.071 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.072 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.073 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.073 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.075 * [backup-simplify]: Simplify (+ 1 0) into 1 0.076 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.076 * [taylor]: Taking taylor expansion of 1/2 in y 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (sqrt 1) into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.096 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of 1/2 in y 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.110 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [backup-simplify]: Simplify (+ 0 1) into 1 0.113 * [backup-simplify]: Simplify (sqrt 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [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 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.127 * [taylor]: Taking taylor expansion of 1 in y 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.131 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.131 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of 1/2 in y 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.139 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.140 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.140 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.141 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.150 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.150 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.150 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.172 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.172 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [backup-simplify]: Simplify x into x 0.172 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.192 * * * [progress]: simplifying candidates 0.193 * [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)) 0.193 * * [simplify]: Extracting # 0 : cost 0 0.193 * * [simplify]: Extracting # 1 : cost 0 0.193 * * [simplify]: Extracting # 2 : cost 0 0.193 * * [simplify]: Extracting # 3 : cost 0 0.193 * * [simplify]: Extracting # 4 : cost 0 0.193 * * [simplify]: Extracting # 5 : cost 0 0.193 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.203 * * [simplify]: Extracting # 0 : cost 0 0.203 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: Extracting # 3 : cost 0 0.204 * * [simplify]: Extracting # 4 : cost 0 0.204 * * [simplify]: iteration 1 : 143 enodes (cost 347 ) 0.279 * * [simplify]: Extracting # 0 : cost 0 0.279 * * [simplify]: Extracting # 1 : cost 0 0.281 * * [simplify]: Extracting # 2 : cost 0 0.283 * * [simplify]: Extracting # 3 : cost 0 0.285 * * [simplify]: Extracting # 4 : cost 0 0.287 * * [simplify]: iteration 2 : 758 enodes (cost 295 ) 0.675 * * [simplify]: Extracting # 0 : cost 0 0.680 * * [simplify]: Extracting # 1 : cost 0 0.691 * * [simplify]: Extracting # 2 : cost 0 0.705 * * [simplify]: Extracting # 3 : cost 0 0.717 * * [simplify]: Extracting # 4 : cost 0 0.730 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 0.730 * [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)) 0.731 * * * [progress]: adding candidates to table 0.859 * * [progress]: iteration 2 / 4 0.859 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.894 * * * [progress]: generating rewritten candidates 0.894 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.903 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.026 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.056 * * * [progress]: generating series expansions 1.056 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.056 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.056 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [backup-simplify]: Simplify x into x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.057 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.057 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.057 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [backup-simplify]: Simplify y into y 1.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.058 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.058 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.059 * [taylor]: Taking taylor expansion of y in x 1.059 * [backup-simplify]: Simplify y into y 1.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.059 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.059 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.060 * [taylor]: Taking taylor expansion of y in y 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (* 1 1) into 1 1.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.062 * [backup-simplify]: Simplify (+ 1 0) into 1 1.062 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.062 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.062 * [taylor]: Taking taylor expansion of 1/2 in y 1.062 * [backup-simplify]: Simplify 1/2 into 1/2 1.062 * [taylor]: Taking taylor expansion of y in y 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.072 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.072 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [backup-simplify]: Simplify x into x 1.072 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (* 1 1) into 1 1.073 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [backup-simplify]: Simplify (+ 0 1) into 1 1.074 * [backup-simplify]: Simplify (sqrt 1) into 1 1.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (* 1 1) into 1 1.077 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [backup-simplify]: Simplify y into y 1.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.078 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.078 * [backup-simplify]: Simplify (+ 1 0) into 1 1.078 * [backup-simplify]: Simplify (sqrt 1) into 1 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (* 1 1) into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.081 * [backup-simplify]: Simplify y into y 1.082 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.082 * [backup-simplify]: Simplify (+ 1 0) into 1 1.082 * [backup-simplify]: Simplify (sqrt 1) into 1 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.085 * [taylor]: Taking taylor expansion of 1 in y 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of 1/2 in y 1.088 * [backup-simplify]: Simplify 1/2 into 1/2 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.094 * [taylor]: Taking taylor expansion of 0 in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [backup-simplify]: Simplify x into x 1.096 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [backup-simplify]: Simplify (+ 0 1) into 1 1.098 * [backup-simplify]: Simplify (sqrt 1) into 1 1.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (* 1 1) into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.101 * [backup-simplify]: Simplify y into y 1.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.102 * [backup-simplify]: Simplify (+ 1 0) into 1 1.102 * [backup-simplify]: Simplify (sqrt 1) into 1 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (* 1 1) into 1 1.106 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [backup-simplify]: Simplify y into y 1.106 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.106 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.106 * [backup-simplify]: Simplify (+ 1 0) into 1 1.107 * [backup-simplify]: Simplify (sqrt 1) into 1 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.109 * [taylor]: Taking taylor expansion of 1 in y 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of 1/2 in y 1.113 * [backup-simplify]: Simplify 1/2 into 1/2 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (* 1 1) into 1 1.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.118 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.121 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.121 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.121 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [backup-simplify]: Simplify x into x 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.121 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.121 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.121 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.122 * [taylor]: Taking taylor expansion of y in x 1.122 * [backup-simplify]: Simplify y into y 1.122 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.123 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.123 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.124 * [backup-simplify]: Simplify y into y 1.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.124 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.124 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.124 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (* 1 1) into 1 1.126 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.127 * [backup-simplify]: Simplify (+ 1 0) into 1 1.127 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.127 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.128 * [taylor]: Taking taylor expansion of 1/2 in y 1.128 * [backup-simplify]: Simplify 1/2 into 1/2 1.128 * [taylor]: Taking taylor expansion of y in y 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.133 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.133 * [taylor]: Taking taylor expansion of x in y 1.133 * [backup-simplify]: Simplify x into x 1.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.133 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (* 1 1) into 1 1.134 * [backup-simplify]: Simplify (/ 1 1) into 1 1.135 * [backup-simplify]: Simplify (+ 0 1) into 1 1.135 * [backup-simplify]: Simplify (sqrt 1) into 1 1.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (* 1 1) into 1 1.139 * [backup-simplify]: Simplify (/ 1 1) into 1 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [backup-simplify]: Simplify y into y 1.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.140 * [backup-simplify]: Simplify (+ 1 0) into 1 1.140 * [backup-simplify]: Simplify (sqrt 1) into 1 1.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (* 1 1) into 1 1.143 * [backup-simplify]: Simplify (/ 1 1) into 1 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.143 * [backup-simplify]: Simplify y into y 1.144 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.144 * [backup-simplify]: Simplify (+ 1 0) into 1 1.144 * [backup-simplify]: Simplify (sqrt 1) into 1 1.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.146 * [taylor]: Taking taylor expansion of 1 in y 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.148 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.148 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.148 * [taylor]: Taking taylor expansion of 1/2 in y 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (* 1 1) into 1 1.149 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.151 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.152 * [taylor]: Taking taylor expansion of 0 in y 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.153 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [backup-simplify]: Simplify x into x 1.153 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (* 1 1) into 1 1.154 * [backup-simplify]: Simplify (/ 1 1) into 1 1.154 * [backup-simplify]: Simplify (+ 0 1) into 1 1.155 * [backup-simplify]: Simplify (sqrt 1) into 1 1.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (* 1 1) into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.157 * [taylor]: Taking taylor expansion of y in x 1.157 * [backup-simplify]: Simplify y into y 1.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.157 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.157 * [backup-simplify]: Simplify (+ 1 0) into 1 1.157 * [backup-simplify]: Simplify (sqrt 1) into 1 1.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (* 1 1) into 1 1.160 * [backup-simplify]: Simplify (/ 1 1) into 1 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.160 * [taylor]: Taking taylor expansion of y in x 1.160 * [backup-simplify]: Simplify y into y 1.160 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.160 * [backup-simplify]: Simplify (+ 1 0) into 1 1.160 * [backup-simplify]: Simplify (sqrt 1) into 1 1.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.162 * [taylor]: Taking taylor expansion of 1 in y 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.164 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.164 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.164 * [taylor]: Taking taylor expansion of 1/2 in y 1.164 * [backup-simplify]: Simplify 1/2 into 1/2 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (* 1 1) into 1 1.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.169 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.169 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 1.169 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.170 * [taylor]: Taking taylor expansion of x in y 1.170 * [backup-simplify]: Simplify x into x 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.170 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.170 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.170 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.170 * [taylor]: Taking taylor expansion of y in x 1.170 * [backup-simplify]: Simplify y into y 1.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.171 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.171 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.171 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.171 * [taylor]: Taking taylor expansion of y in x 1.171 * [backup-simplify]: Simplify y into y 1.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.171 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.171 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.172 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.172 * [taylor]: Taking taylor expansion of y in y 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [taylor]: Taking taylor expansion of 0 in y 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (* 1 1) into 1 1.173 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.174 * [backup-simplify]: Simplify (+ 1 0) into 1 1.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.174 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.174 * [taylor]: Taking taylor expansion of 1/2 in y 1.174 * [backup-simplify]: Simplify 1/2 into 1/2 1.174 * [taylor]: Taking taylor expansion of y in y 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.177 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.178 * [taylor]: Taking taylor expansion of 0 in y 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.180 * [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)))) 1.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.180 * [taylor]: Taking taylor expansion of x in y 1.180 * [backup-simplify]: Simplify x into x 1.180 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (* 1 1) into 1 1.181 * [backup-simplify]: Simplify (/ 1 1) into 1 1.182 * [backup-simplify]: Simplify (+ 0 1) into 1 1.182 * [backup-simplify]: Simplify (sqrt 1) into 1 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.184 * [backup-simplify]: Simplify (+ 0 0) into 0 1.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (* 1 1) into 1 1.185 * [backup-simplify]: Simplify (/ 1 1) into 1 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.185 * [taylor]: Taking taylor expansion of y in x 1.185 * [backup-simplify]: Simplify y into y 1.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.185 * [backup-simplify]: Simplify (+ 1 0) into 1 1.185 * [backup-simplify]: Simplify (sqrt 1) into 1 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [backup-simplify]: Simplify (* 1 1) into 1 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.188 * [backup-simplify]: Simplify y into y 1.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.188 * [backup-simplify]: Simplify (+ 1 0) into 1 1.188 * [backup-simplify]: Simplify (sqrt 1) into 1 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.189 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.190 * [taylor]: Taking taylor expansion of 1 in y 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of 0 in y 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.192 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.192 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.192 * [taylor]: Taking taylor expansion of 1/2 in y 1.192 * [backup-simplify]: Simplify 1/2 into 1/2 1.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.192 * [taylor]: Taking taylor expansion of y in y 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (* 1 1) into 1 1.195 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.199 * [taylor]: Taking taylor expansion of 0 in y 1.199 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.201 * [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)))) 1.201 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.201 * [taylor]: Taking taylor expansion of x in y 1.201 * [backup-simplify]: Simplify x into x 1.201 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.201 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (/ 1 1) into 1 1.202 * [backup-simplify]: Simplify (+ 0 1) into 1 1.202 * [backup-simplify]: Simplify (sqrt 1) into 1 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (* 1 1) into 1 1.204 * [backup-simplify]: Simplify (/ 1 1) into 1 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.204 * [backup-simplify]: Simplify y into y 1.205 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.205 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.205 * [backup-simplify]: Simplify (+ 1 0) into 1 1.205 * [backup-simplify]: Simplify (sqrt 1) into 1 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (* 1 1) into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.207 * [taylor]: Taking taylor expansion of y in x 1.207 * [backup-simplify]: Simplify y into y 1.207 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.208 * [backup-simplify]: Simplify (+ 1 0) into 1 1.208 * [backup-simplify]: Simplify (sqrt 1) into 1 1.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.210 * [taylor]: Taking taylor expansion of 1 in y 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [taylor]: Taking taylor expansion of 0 in y 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.212 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.212 * [taylor]: Taking taylor expansion of 1/2 in y 1.212 * [backup-simplify]: Simplify 1/2 into 1/2 1.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (* 1 1) into 1 1.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.215 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.216 * [taylor]: Taking taylor expansion of 0 in y 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.218 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.218 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) (* y y)))) into (pow (+ (pow x 2) (pow y 2)) 1/4) 1.218 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in (x y) around 0 1.218 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 1.218 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 1.218 * [taylor]: Taking taylor expansion of 1/4 in y 1.219 * [backup-simplify]: Simplify 1/4 into 1/4 1.219 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.219 * [taylor]: Taking taylor expansion of x in y 1.219 * [backup-simplify]: Simplify x into x 1.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.219 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.219 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.219 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 1.219 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 1.219 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 1.220 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 1.220 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 1.220 * [taylor]: Taking taylor expansion of 1/4 in x 1.220 * [backup-simplify]: Simplify 1/4 into 1/4 1.220 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.220 * [taylor]: Taking taylor expansion of y in x 1.220 * [backup-simplify]: Simplify y into y 1.220 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.220 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.220 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.220 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2))) 1.220 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4) 1.220 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 1.220 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 1.221 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 1.221 * [taylor]: Taking taylor expansion of 1/4 in x 1.221 * [backup-simplify]: Simplify 1/4 into 1/4 1.221 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.221 * [taylor]: Taking taylor expansion of y in x 1.221 * [backup-simplify]: Simplify y into y 1.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.221 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.221 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.221 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2))) 1.221 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4) 1.222 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y 1.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y 1.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y 1.222 * [taylor]: Taking taylor expansion of 1/4 in y 1.222 * [backup-simplify]: Simplify 1/4 into 1/4 1.222 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.223 * [backup-simplify]: Simplify (log 1) into 0 1.223 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.223 * [backup-simplify]: Simplify (* 1/4 (* 2 (log y))) into (* 1/2 (log y)) 1.223 * [backup-simplify]: Simplify (exp (* 1/2 (log y))) into (pow y 1/2) 1.223 * [backup-simplify]: Simplify (pow y 1/2) into (pow y 1/2) 1.224 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow y 2)))) into 0 1.227 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.227 * [taylor]: Taking taylor expansion of 0 in y 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.229 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.230 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log y)))) into 0 1.231 * [backup-simplify]: Simplify (* (exp (* 1/2 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify (* 1 1) into 1 1.232 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.232 * [backup-simplify]: Simplify (+ 1 0) into 1 1.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.234 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/4 (/ 1 (pow y 2))) 1.234 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow y 3)))) 1.234 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 1.234 * [taylor]: Taking taylor expansion of 1/4 in y 1.234 * [backup-simplify]: Simplify 1/4 into 1/4 1.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.234 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.234 * [taylor]: Taking taylor expansion of y in y 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (* 1 1) into 1 1.235 * [backup-simplify]: Simplify (* 1 1) into 1 1.235 * [backup-simplify]: Simplify (/ 1 1) into 1 1.235 * [backup-simplify]: Simplify (sqrt 0) into 0 1.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.241 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.241 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.243 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.245 * [backup-simplify]: Simplify (* (exp (* 1/2 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.246 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.250 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.250 * [taylor]: Taking taylor expansion of 0 in y 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.256 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.256 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.257 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* y (pow x 2))) (+ (* (- +nan.0) (pow (* 1 x) 2)) (pow y 1/2))) into (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (* (pow x 2) y))))) 1.257 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 1.257 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 1.257 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.257 * [taylor]: Taking taylor expansion of 1/4 in y 1.257 * [backup-simplify]: Simplify 1/4 into 1/4 1.257 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.257 * [taylor]: Taking taylor expansion of x in y 1.257 * [backup-simplify]: Simplify x into x 1.257 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.257 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.257 * [taylor]: Taking taylor expansion of y in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.258 * [backup-simplify]: Simplify (* 1 1) into 1 1.258 * [backup-simplify]: Simplify (/ 1 1) into 1 1.258 * [backup-simplify]: Simplify (+ 0 1) into 1 1.259 * [backup-simplify]: Simplify (log 1) into 0 1.259 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.259 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 1.259 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 1.259 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.259 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.259 * [taylor]: Taking taylor expansion of 1/4 in x 1.259 * [backup-simplify]: Simplify 1/4 into 1/4 1.259 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify (/ 1 1) into 1 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [backup-simplify]: Simplify y into y 1.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.260 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.260 * [backup-simplify]: Simplify (+ 1 0) into 1 1.261 * [backup-simplify]: Simplify (log 1) into 0 1.261 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.261 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 1.261 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 1.261 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.261 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.261 * [taylor]: Taking taylor expansion of 1/4 in x 1.261 * [backup-simplify]: Simplify 1/4 into 1/4 1.261 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (* 1 1) into 1 1.262 * [backup-simplify]: Simplify (/ 1 1) into 1 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.262 * [taylor]: Taking taylor expansion of y in x 1.262 * [backup-simplify]: Simplify y into y 1.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.262 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.262 * [backup-simplify]: Simplify (+ 1 0) into 1 1.263 * [backup-simplify]: Simplify (log 1) into 0 1.263 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.263 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 1.263 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 1.263 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.263 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.263 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.263 * [taylor]: Taking taylor expansion of -1/2 in y 1.263 * [backup-simplify]: Simplify -1/2 into -1/2 1.263 * [taylor]: Taking taylor expansion of (log x) in y 1.263 * [taylor]: Taking taylor expansion of x in y 1.263 * [backup-simplify]: Simplify x into x 1.263 * [backup-simplify]: Simplify (log x) into (log x) 1.263 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 1.263 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 1.263 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 1.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.266 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 1.267 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.267 * [taylor]: Taking taylor expansion of 0 in y 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.268 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 1.268 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.271 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.272 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2))) 1.273 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 1.273 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.273 * [taylor]: Taking taylor expansion of 1/4 in y 1.273 * [backup-simplify]: Simplify 1/4 into 1/4 1.273 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.273 * [taylor]: Taking taylor expansion of x in y 1.273 * [backup-simplify]: Simplify x into x 1.273 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.273 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 1.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (* 1 1) into 1 1.275 * [backup-simplify]: Simplify (/ 1 1) into 1 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 1.280 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 1.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.284 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.285 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.292 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.296 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.296 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2) 1.297 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 1.297 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 1.297 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.297 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.297 * [taylor]: Taking taylor expansion of 1/4 in y 1.297 * [backup-simplify]: Simplify 1/4 into 1/4 1.297 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.297 * [taylor]: Taking taylor expansion of x in y 1.297 * [backup-simplify]: Simplify x into x 1.297 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.297 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.298 * [backup-simplify]: Simplify (* 1 1) into 1 1.298 * [backup-simplify]: Simplify (/ 1 1) into 1 1.298 * [backup-simplify]: Simplify (+ 0 1) into 1 1.299 * [backup-simplify]: Simplify (log 1) into 0 1.299 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.299 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 1.300 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 1.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.300 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.300 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.300 * [taylor]: Taking taylor expansion of 1/4 in x 1.300 * [backup-simplify]: Simplify 1/4 into 1/4 1.300 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (* 1 1) into 1 1.301 * [backup-simplify]: Simplify (/ 1 1) into 1 1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.301 * [taylor]: Taking taylor expansion of y in x 1.301 * [backup-simplify]: Simplify y into y 1.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.302 * [backup-simplify]: Simplify (+ 1 0) into 1 1.302 * [backup-simplify]: Simplify (log 1) into 0 1.302 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.303 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 1.303 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 1.303 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.303 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.303 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.303 * [taylor]: Taking taylor expansion of 1/4 in x 1.303 * [backup-simplify]: Simplify 1/4 into 1/4 1.303 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (/ 1 1) into 1 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.304 * [taylor]: Taking taylor expansion of y in x 1.304 * [backup-simplify]: Simplify y into y 1.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.305 * [backup-simplify]: Simplify (+ 1 0) into 1 1.305 * [backup-simplify]: Simplify (log 1) into 0 1.305 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.306 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 1.306 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 1.306 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.306 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.306 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.306 * [taylor]: Taking taylor expansion of -1/2 in y 1.306 * [backup-simplify]: Simplify -1/2 into -1/2 1.306 * [taylor]: Taking taylor expansion of (log x) in y 1.306 * [taylor]: Taking taylor expansion of x in y 1.306 * [backup-simplify]: Simplify x into x 1.306 * [backup-simplify]: Simplify (log x) into (log x) 1.306 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 1.306 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 1.306 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.310 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 1.316 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.316 * [taylor]: Taking taylor expansion of 0 in y 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.318 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 1.319 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.324 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.325 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2))) 1.326 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 1.326 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.326 * [taylor]: Taking taylor expansion of 1/4 in y 1.326 * [backup-simplify]: Simplify 1/4 into 1/4 1.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.326 * [taylor]: Taking taylor expansion of x in y 1.326 * [backup-simplify]: Simplify x into x 1.326 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.326 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 1.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0 1.332 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 1.333 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 1.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.337 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.339 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.347 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.348 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.351 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.351 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2) 1.352 * * * [progress]: simplifying candidates 1.356 * [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 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-1/2) (pow (/ -1 x) -1/2) 1.363 * * [simplify]: Extracting # 0 : cost 0 1.364 * * [simplify]: Extracting # 1 : cost 0 1.364 * * [simplify]: Extracting # 2 : cost 0 1.364 * * [simplify]: Extracting # 3 : cost 0 1.365 * * [simplify]: Extracting # 4 : cost 0 1.365 * * [simplify]: Extracting # 5 : cost 0 1.365 * * [simplify]: Extracting # 6 : cost 0 1.366 * * [simplify]: Extracting # 7 : cost 0 1.366 * * [simplify]: Extracting # 8 : cost 0 1.366 * * [simplify]: Extracting # 9 : cost 0 1.367 * * [simplify]: iteration 0 : 127 enodes (cost 2962 ) 1.444 * * [simplify]: Extracting # 0 : cost 0 1.444 * * [simplify]: Extracting # 1 : cost 0 1.444 * * [simplify]: Extracting # 2 : cost 0 1.445 * * [simplify]: Extracting # 3 : cost 0 1.445 * * [simplify]: Extracting # 4 : cost 0 1.445 * * [simplify]: iteration 1 : 292 enodes (cost 1887 ) 1.570 * * [simplify]: Extracting # 0 : cost 0 1.571 * * [simplify]: Extracting # 1 : cost 0 1.572 * * [simplify]: Extracting # 2 : cost 0 1.574 * * [simplify]: Extracting # 3 : cost 0 1.575 * * [simplify]: Extracting # 4 : cost 0 1.576 * * [simplify]: iteration 2 : 1142 enodes (cost 1671 ) 2.245 * * [simplify]: Extracting # 0 : cost 0 2.263 * * [simplify]: Extracting # 1 : cost 0 2.268 * * [simplify]: Extracting # 2 : cost 0 2.274 * * [simplify]: Extracting # 3 : cost 0 2.280 * * [simplify]: Extracting # 4 : cost 0 2.289 * * [simplify]: iteration done: 5000 enodes (cost 1642 ) 2.290 * [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 3) y))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* 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(+ (* 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))))) 1 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (sqrt (sqrt (- (pow x 4) (* (pow y 3) y)))) (sqrt (sqrt (- (* x x) (* y y)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) y x (- x) y x (- x) y x (- x) (- (sqrt y) (* (* x x) (- +nan.0 (* +nan.0 y)))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 2.292 * * * [progress]: adding candidates to table 2.591 * * [progress]: iteration 3 / 4 2.591 * * * [progress]: picking best candidate 2.596 * * * * [pick]: Picked # 2.596 * * * [progress]: localizing error 2.617 * * * [progress]: generating rewritten candidates 2.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.692 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.747 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.769 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.808 * * * [progress]: generating series expansions 2.808 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.808 * [backup-simplify]: Simplify (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) into (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) 2.809 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (x y) around 0 2.809 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 2.809 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 2.809 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.809 * [taylor]: Taking taylor expansion of x in y 2.809 * [backup-simplify]: Simplify x into x 2.809 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.809 * [taylor]: Taking taylor expansion of y in y 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.809 * [taylor]: Taking taylor expansion of x in y 2.809 * [backup-simplify]: Simplify x into x 2.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.809 * [taylor]: Taking taylor expansion of y in y 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.809 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.809 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 2.810 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.810 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.810 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 2.810 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 2.810 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.810 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.810 * [taylor]: Taking taylor expansion of y in x 2.810 * [backup-simplify]: Simplify y into y 2.810 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.810 * [taylor]: Taking taylor expansion of y in x 2.810 * [backup-simplify]: Simplify y into y 2.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.811 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.811 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 2.811 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 2.811 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.811 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.811 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.812 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 2.812 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 2.812 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.812 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.812 * [taylor]: Taking taylor expansion of x in x 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.812 * [taylor]: Taking taylor expansion of y in x 2.812 * [backup-simplify]: Simplify y into y 2.812 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.812 * [taylor]: Taking taylor expansion of x in x 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.812 * [taylor]: Taking taylor expansion of y in x 2.812 * [backup-simplify]: Simplify y into y 2.812 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.812 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.813 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 2.813 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 2.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.813 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.813 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.813 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 2.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.814 * [taylor]: Taking taylor expansion of y in y 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.814 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.815 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0 2.817 * [taylor]: Taking taylor expansion of 0 in y 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.818 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.819 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify (+ 1 0) into 1 2.821 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 1 2.821 * [taylor]: Taking taylor expansion of 1 in y 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (* 1 1) into 1 2.821 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.823 * [backup-simplify]: Simplify (- 0) into 0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.825 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.825 * [backup-simplify]: Simplify (- 0) into 0 2.826 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 1 (- (pow y 2)))) (* 1 (/ 0 (- (pow y 2)))))) into 0 2.827 * [taylor]: Taking taylor expansion of 0 in y 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.829 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.831 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.831 * [backup-simplify]: Simplify (- 0) into 0 2.831 * [backup-simplify]: Simplify (+ 1 0) into 1 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.833 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.834 * [backup-simplify]: Simplify (- 0) into 0 2.834 * [backup-simplify]: Simplify (+ 0 0) into 0 2.835 * [backup-simplify]: Simplify (- (/ 1 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))) (* 1 (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 0 2.835 * [taylor]: Taking taylor expansion of 0 in y 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 2.836 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.836 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.836 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.836 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.836 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.836 * [taylor]: Taking taylor expansion of x in y 2.836 * [backup-simplify]: Simplify x into x 2.836 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.837 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.837 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.837 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.837 * [taylor]: Taking taylor expansion of y in y 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (/ 1 1) into 1 2.838 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.838 * [taylor]: Taking taylor expansion of x in y 2.838 * [backup-simplify]: Simplify x into x 2.838 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.838 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.839 * [taylor]: Taking taylor expansion of y in y 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.840 * [backup-simplify]: Simplify (- 1) into -1 2.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.840 * [backup-simplify]: Simplify (- 1) into -1 2.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.841 * [backup-simplify]: Simplify (/ -1 -1) into 1 2.841 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.841 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.841 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.842 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.842 * [taylor]: Taking taylor expansion of y in x 2.843 * [backup-simplify]: Simplify y into y 2.843 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.843 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.843 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.843 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (* 1 1) into 1 2.844 * [backup-simplify]: Simplify (/ 1 1) into 1 2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.844 * [taylor]: Taking taylor expansion of y in x 2.844 * [backup-simplify]: Simplify y into y 2.844 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.844 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.845 * [backup-simplify]: Simplify (+ 1 0) into 1 2.845 * [backup-simplify]: Simplify (+ 1 0) into 1 2.845 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.845 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.845 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (* 1 1) into 1 2.847 * [backup-simplify]: Simplify (* 1 1) into 1 2.847 * [backup-simplify]: Simplify (/ 1 1) into 1 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.847 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.847 * [taylor]: Taking taylor expansion of y in x 2.847 * [backup-simplify]: Simplify y into y 2.847 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.847 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.847 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.847 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.848 * [taylor]: Taking taylor expansion of x in x 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (* 1 1) into 1 2.848 * [backup-simplify]: Simplify (/ 1 1) into 1 2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.848 * [taylor]: Taking taylor expansion of y in x 2.848 * [backup-simplify]: Simplify y into y 2.849 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.849 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.849 * [backup-simplify]: Simplify (+ 1 0) into 1 2.849 * [backup-simplify]: Simplify (+ 1 0) into 1 2.850 * [backup-simplify]: Simplify (/ 1 1) into 1 2.850 * [taylor]: Taking taylor expansion of 1 in y 2.850 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ 0 0) into 0 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.855 * [taylor]: Taking taylor expansion of 0 in y 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.859 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 2.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.861 * [taylor]: Taking taylor expansion of y in y 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* 1 1) into 1 2.861 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.867 * [backup-simplify]: Simplify (- 0) into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 2.869 * [taylor]: Taking taylor expansion of 0 in y 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.874 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.877 * [backup-simplify]: Simplify (- 0) into 0 2.878 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 2.880 * [taylor]: Taking taylor expansion of 0 in y 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.883 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.883 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.883 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.883 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.883 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.883 * [taylor]: Taking taylor expansion of x in y 2.883 * [backup-simplify]: Simplify x into x 2.883 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.883 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.883 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.884 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.884 * [taylor]: Taking taylor expansion of y in y 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (* 1 1) into 1 2.884 * [backup-simplify]: Simplify (* 1 1) into 1 2.885 * [backup-simplify]: Simplify (/ 1 1) into 1 2.885 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.885 * [taylor]: Taking taylor expansion of x in y 2.885 * [backup-simplify]: Simplify x into x 2.885 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.885 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.885 * [taylor]: Taking taylor expansion of y in y 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [backup-simplify]: Simplify (- 1) into -1 2.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.887 * [backup-simplify]: Simplify (- 1) into -1 2.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.888 * [backup-simplify]: Simplify (/ -1 -1) into 1 2.888 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.888 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.888 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (* 1 1) into 1 2.889 * [backup-simplify]: Simplify (* 1 1) into 1 2.889 * [backup-simplify]: Simplify (/ 1 1) into 1 2.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.889 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.889 * [taylor]: Taking taylor expansion of y in x 2.889 * [backup-simplify]: Simplify y into y 2.889 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.889 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.890 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.890 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (/ 1 1) into 1 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [backup-simplify]: Simplify y into y 2.891 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.891 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.891 * [backup-simplify]: Simplify (+ 1 0) into 1 2.892 * [backup-simplify]: Simplify (+ 1 0) into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.892 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.892 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.892 * [taylor]: Taking taylor expansion of x in x 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (* 1 1) into 1 2.893 * [backup-simplify]: Simplify (* 1 1) into 1 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.893 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [backup-simplify]: Simplify y into y 2.894 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.894 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.894 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.894 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (* 1 1) into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.895 * [taylor]: Taking taylor expansion of y in x 2.895 * [backup-simplify]: Simplify y into y 2.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.895 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [taylor]: Taking taylor expansion of 1 in y 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.901 * [taylor]: Taking taylor expansion of 0 in y 2.901 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.906 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.907 * [taylor]: Taking taylor expansion of y in y 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (* 1 1) into 1 2.908 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.914 * [backup-simplify]: Simplify (- 0) into 0 2.914 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 2.916 * [taylor]: Taking taylor expansion of 0 in y 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.921 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.929 * [backup-simplify]: Simplify (- 0) into 0 2.930 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 2.932 * [taylor]: Taking taylor expansion of 0 in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.934 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.935 * [backup-simplify]: Simplify (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) into (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) 2.935 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in (x y) around 0 2.935 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in y 2.935 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 2.935 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 2.935 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.935 * [taylor]: Taking taylor expansion of x in y 2.935 * [backup-simplify]: Simplify x into x 2.935 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.935 * [taylor]: Taking taylor expansion of y in y 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.935 * [taylor]: Taking taylor expansion of x in y 2.935 * [backup-simplify]: Simplify x into x 2.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.935 * [taylor]: Taking taylor expansion of y in y 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.935 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.936 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 2.936 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.936 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.936 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 2.936 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.936 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.937 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 2.937 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.937 * [backup-simplify]: Simplify (+ 0 0) into 0 2.938 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))))) into 0 2.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.938 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in x 2.938 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 2.938 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.938 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.938 * [taylor]: Taking taylor expansion of y in x 2.938 * [backup-simplify]: Simplify y into y 2.938 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.938 * [taylor]: Taking taylor expansion of y in x 2.938 * [backup-simplify]: Simplify y into y 2.938 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.939 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.939 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 2.939 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 2.939 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.939 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.939 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.940 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 2.940 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.940 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.940 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.940 * [backup-simplify]: Simplify (- 0) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.941 * [backup-simplify]: Simplify (- 0) into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0 2.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.942 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)))) in x 2.942 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 2.942 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.942 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.942 * [taylor]: Taking taylor expansion of y in x 2.942 * [backup-simplify]: Simplify y into y 2.942 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.943 * [taylor]: Taking taylor expansion of y in x 2.943 * [backup-simplify]: Simplify y into y 2.943 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.943 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.943 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 2.943 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 2.943 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.943 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.944 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.944 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 2.944 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.944 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.944 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0 2.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.947 * [taylor]: Taking taylor expansion of y in y 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [taylor]: Taking taylor expansion of 0 in y 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.948 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.950 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.950 * [backup-simplify]: Simplify (- 0) into 0 2.950 * [backup-simplify]: Simplify (+ 1 0) into 1 2.951 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 1 2.952 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.952 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.952 * [taylor]: Taking taylor expansion of 1/2 in y 2.952 * [backup-simplify]: Simplify 1/2 into 1/2 2.952 * [taylor]: Taking taylor expansion of y in y 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.955 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.955 * [backup-simplify]: Simplify (- 0) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.957 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 1 (- (pow y 2)))) (* 1 (/ 0 (- (pow y 2)))))) into 0 2.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.959 * [taylor]: Taking taylor expansion of 0 in y 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.961 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2.961 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 2.961 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.961 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.961 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.961 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.961 * [taylor]: Taking taylor expansion of x in y 2.961 * [backup-simplify]: Simplify x into x 2.961 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.961 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.961 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.961 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.961 * [taylor]: Taking taylor expansion of y in y 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (* 1 1) into 1 2.962 * [backup-simplify]: Simplify (* 1 1) into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.963 * [taylor]: Taking taylor expansion of x in y 2.963 * [backup-simplify]: Simplify x into x 2.963 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.963 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.963 * [taylor]: Taking taylor expansion of y in y 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* 1 1) into 1 2.964 * [backup-simplify]: Simplify (/ 1 1) into 1 2.964 * [backup-simplify]: Simplify (- 1) into -1 2.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.965 * [backup-simplify]: Simplify (- 1) into -1 2.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.965 * [backup-simplify]: Simplify (/ -1 -1) into 1 2.966 * [backup-simplify]: Simplify (sqrt 1) into 1 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 2.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.972 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.972 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.972 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.972 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.972 * [taylor]: Taking taylor expansion of x in x 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (* 1 1) into 1 2.973 * [backup-simplify]: Simplify (* 1 1) into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.973 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.974 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.974 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.974 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.975 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.975 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [backup-simplify]: Simplify (sqrt 1) into 1 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.982 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.982 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.982 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.982 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.982 * [taylor]: Taking taylor expansion of x in x 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (* 1 1) into 1 2.982 * [backup-simplify]: Simplify (* 1 1) into 1 2.983 * [backup-simplify]: Simplify (/ 1 1) into 1 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.983 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.983 * [taylor]: Taking taylor expansion of y in x 2.983 * [backup-simplify]: Simplify y into y 2.983 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.983 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.983 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.983 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.984 * [taylor]: Taking taylor expansion of y in x 2.984 * [backup-simplify]: Simplify y into y 2.985 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.985 * [backup-simplify]: Simplify (+ 1 0) into 1 2.985 * [backup-simplify]: Simplify (+ 1 0) into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (sqrt 1) into 1 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.991 * [taylor]: Taking taylor expansion of 1 in y 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [taylor]: Taking taylor expansion of 0 in y 2.991 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.996 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 2.998 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.998 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.998 * [taylor]: Taking taylor expansion of 1/2 in y 2.998 * [backup-simplify]: Simplify 1/2 into 1/2 2.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.998 * [taylor]: Taking taylor expansion of y in y 2.998 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ 0 0) into 0 3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.004 * [backup-simplify]: Simplify (- 0) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.005 * [taylor]: Taking taylor expansion of 0 in y 3.005 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.007 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3.007 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 3.007 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.007 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.007 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 3.007 * [taylor]: Taking taylor expansion of (pow x 4) in y 3.007 * [taylor]: Taking taylor expansion of x in y 3.007 * [backup-simplify]: Simplify x into x 3.007 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.008 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 3.008 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 3.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.008 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.008 * [taylor]: Taking taylor expansion of y in y 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (* 1 1) into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.009 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.009 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.009 * [taylor]: Taking taylor expansion of x in y 3.009 * [backup-simplify]: Simplify x into x 3.009 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.009 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.009 * [taylor]: Taking taylor expansion of y in y 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (* 1 1) into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [backup-simplify]: Simplify (- 1) into -1 3.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.010 * [backup-simplify]: Simplify (- 1) into -1 3.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.011 * [backup-simplify]: Simplify (/ -1 -1) into 1 3.011 * [backup-simplify]: Simplify (sqrt 1) into 1 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- 0) into 0 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (- 0) into 0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 3.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.015 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.015 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.015 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.015 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (* 1 1) into 1 3.015 * [backup-simplify]: Simplify (* 1 1) into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 3.016 * [taylor]: Taking taylor expansion of (pow y 4) in x 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [backup-simplify]: Simplify y into y 3.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.016 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.016 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 3.016 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (* 1 1) into 1 3.017 * [backup-simplify]: Simplify (/ 1 1) into 1 3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.017 * [taylor]: Taking taylor expansion of y in x 3.017 * [backup-simplify]: Simplify y into y 3.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.017 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.018 * [backup-simplify]: Simplify (/ 1 1) into 1 3.018 * [backup-simplify]: Simplify (sqrt 1) into 1 3.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 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 1) (+ (* 1 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.021 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.021 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.021 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.021 * [taylor]: Taking taylor expansion of (pow x 4) 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 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.022 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 3.022 * [taylor]: Taking taylor expansion of (pow y 4) 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 (* (pow y 2) (pow y 2)) into (pow y 4) 3.022 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 3.022 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.022 * [taylor]: Taking taylor expansion of x in x 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (* 1 1) into 1 3.023 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.023 * [taylor]: Taking taylor expansion of y in x 3.023 * [backup-simplify]: Simplify y into y 3.023 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.023 * [backup-simplify]: Simplify (+ 1 0) into 1 3.024 * [backup-simplify]: Simplify (+ 1 0) into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [backup-simplify]: Simplify (sqrt 1) into 1 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ 0 0) into 0 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.028 * [taylor]: Taking taylor expansion of 1 in y 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [taylor]: Taking taylor expansion of 0 in y 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.032 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) 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 3.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.043 * [backup-simplify]: Simplify (- 0) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.046 * [taylor]: Taking taylor expansion of 0 in y 3.046 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.049 * [backup-simplify]: Simplify (- (pow x 4) (pow y 4)) into (- (pow x 4) (pow y 4)) 3.049 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 3.049 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 3.049 * [taylor]: Taking taylor expansion of (pow x 4) in y 3.049 * [taylor]: Taking taylor expansion of x in y 3.049 * [backup-simplify]: Simplify x into x 3.049 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.049 * [taylor]: Taking taylor expansion of y in y 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 3.049 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of (pow y 4) in x 3.049 * [taylor]: Taking taylor expansion of y in x 3.049 * [backup-simplify]: Simplify y into y 3.049 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 3.049 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of (pow y 4) in x 3.049 * [taylor]: Taking taylor expansion of y in x 3.049 * [backup-simplify]: Simplify y into y 3.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.050 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.050 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 3.050 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 3.050 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 3.050 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.050 * [taylor]: Taking taylor expansion of y in y 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.051 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 3.051 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.051 * [taylor]: Taking taylor expansion of 0 in y 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.052 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.056 * [backup-simplify]: Simplify (- 0) into 0 3.057 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [taylor]: Taking taylor expansion of 0 in y 3.057 * [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 (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.059 * [backup-simplify]: Simplify (- 0) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [taylor]: Taking taylor expansion of 0 in y 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 3.060 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 3.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 3.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 3.060 * [taylor]: Taking taylor expansion of (pow x 4) in y 3.060 * [taylor]: Taking taylor expansion of x in y 3.060 * [backup-simplify]: Simplify x into x 3.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.060 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 3.061 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.061 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.061 * [taylor]: Taking taylor expansion of y in y 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (* 1 1) into 1 3.061 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (/ 1 1) into 1 3.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 3.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.062 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.062 * [taylor]: Taking taylor expansion of x in x 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (* 1 1) into 1 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.063 * [backup-simplify]: Simplify (/ 1 1) into 1 3.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 3.063 * [taylor]: Taking taylor expansion of (pow y 4) in x 3.063 * [taylor]: Taking taylor expansion of y in x 3.063 * [backup-simplify]: Simplify y into y 3.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.063 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.064 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 3.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 3.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.064 * [taylor]: Taking taylor expansion of (pow x 4) 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 * [backup-simplify]: Simplify (* 1 1) into 1 3.064 * [backup-simplify]: Simplify (* 1 1) into 1 3.064 * [backup-simplify]: Simplify (/ 1 1) into 1 3.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 3.064 * [taylor]: Taking taylor expansion of (pow y 4) 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) 3.065 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.065 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 3.065 * [backup-simplify]: Simplify (+ 1 0) into 1 3.065 * [taylor]: Taking taylor expansion of 1 in y 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.066 * [taylor]: Taking taylor expansion of 0 in y 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.068 * [taylor]: Taking taylor expansion of 0 in y 3.068 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [taylor]: Taking taylor expansion of 0 in y 3.070 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 3.072 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 3.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.072 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.073 * [taylor]: Taking taylor expansion of y in y 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (* 1 1) into 1 3.073 * [backup-simplify]: Simplify (* 1 1) into 1 3.073 * [backup-simplify]: Simplify (/ 1 1) into 1 3.073 * [backup-simplify]: Simplify (- 1) into -1 3.074 * [backup-simplify]: Simplify -1 into -1 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.076 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 3.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 3.076 * [backup-simplify]: Simplify (- 0) into 0 3.077 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [taylor]: Taking taylor expansion of 0 in y 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (- 0) into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.081 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 3.082 * [backup-simplify]: Simplify (- 0) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [taylor]: Taking taylor expansion of 0 in y 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (- 0) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 3.084 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 3.084 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 3.084 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 3.084 * [taylor]: Taking taylor expansion of (pow x 4) in y 3.084 * [taylor]: Taking taylor expansion of x in y 3.084 * [backup-simplify]: Simplify x into x 3.084 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.085 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 3.085 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 3.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.085 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.085 * [taylor]: Taking taylor expansion of y in y 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (* 1 1) into 1 3.085 * [backup-simplify]: Simplify (* 1 1) into 1 3.085 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 3.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.086 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.086 * [taylor]: Taking taylor expansion of x in x 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (* 1 1) into 1 3.086 * [backup-simplify]: Simplify (* 1 1) into 1 3.086 * [backup-simplify]: Simplify (/ 1 1) into 1 3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 3.086 * [taylor]: Taking taylor expansion of (pow y 4) in x 3.086 * [taylor]: Taking taylor expansion of y in x 3.086 * [backup-simplify]: Simplify y into y 3.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.087 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.087 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 3.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.087 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.087 * [taylor]: Taking taylor expansion of x in x 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (/ 1 1) into 1 3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 3.087 * [taylor]: Taking taylor expansion of (pow y 4) in x 3.087 * [taylor]: Taking taylor expansion of y in x 3.088 * [backup-simplify]: Simplify y into y 3.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.088 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.088 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 3.088 * [backup-simplify]: Simplify (+ 1 0) into 1 3.088 * [taylor]: Taking taylor expansion of 1 in y 3.088 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [taylor]: Taking taylor expansion of 0 in y 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [taylor]: Taking taylor expansion of 0 in y 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.093 * [taylor]: Taking taylor expansion of 0 in y 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 3.096 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 3.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.096 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.096 * [taylor]: Taking taylor expansion of y in y 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (* 1 1) into 1 3.096 * [backup-simplify]: Simplify (* 1 1) into 1 3.096 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [backup-simplify]: Simplify (- 1) into -1 3.097 * [backup-simplify]: Simplify -1 into -1 3.097 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.099 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 3.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 3.100 * [backup-simplify]: Simplify (- 0) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [taylor]: Taking taylor expansion of 0 in y 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.101 * [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) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.108 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 3.108 * [backup-simplify]: Simplify (- 0) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.109 * [taylor]: Taking taylor expansion of 0 in y 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (- 0) into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 3.113 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.113 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 3.113 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 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 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 3.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [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 * [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 (- (pow y 2)) into (- (pow y 2)) 3.114 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 3.114 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 3.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.114 * [taylor]: Taking taylor expansion of y in y 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.115 * [backup-simplify]: Simplify (- 0) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [taylor]: Taking taylor expansion of 0 in y 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.116 * [backup-simplify]: Simplify (- 0) into 0 3.117 * [backup-simplify]: Simplify (+ 1 0) into 1 3.117 * [taylor]: Taking taylor expansion of 1 in y 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (* 1 1) into 1 3.118 * [backup-simplify]: Simplify (- 1) into -1 3.118 * [backup-simplify]: Simplify -1 into -1 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) into 0 3.120 * [backup-simplify]: Simplify (+ 0 0) 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 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.120 * [backup-simplify]: Simplify (- 0) into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.122 * [backup-simplify]: Simplify (- 0) into 0 3.122 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [taylor]: Taking taylor expansion of 0 in y 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 3.123 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.123 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.123 * [taylor]: Taking taylor expansion of x in y 3.123 * [backup-simplify]: Simplify x into x 3.123 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.123 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.123 * [taylor]: Taking taylor expansion of y in y 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (* 1 1) into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (* 1 1) into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.124 * [taylor]: Taking taylor expansion of y in x 3.124 * [backup-simplify]: Simplify y into y 3.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (* 1 1) into 1 3.125 * [backup-simplify]: Simplify (/ 1 1) into 1 3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.125 * [taylor]: Taking taylor expansion of y in x 3.125 * [backup-simplify]: Simplify y into y 3.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.125 * [backup-simplify]: Simplify (+ 1 0) into 1 3.125 * [taylor]: Taking taylor expansion of 1 in y 3.125 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [taylor]: Taking taylor expansion of 0 in y 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.128 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.128 * [taylor]: Taking taylor expansion of y in y 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (* 1 1) into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [backup-simplify]: Simplify (- 1) into -1 3.129 * [backup-simplify]: Simplify -1 into -1 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.130 * [backup-simplify]: Simplify (- 0) into 0 3.131 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [taylor]: Taking taylor expansion of 0 in y 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (- 0) into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [taylor]: Taking taylor expansion of 0 in y 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 3.136 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.136 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.136 * [taylor]: Taking taylor expansion of x in y 3.136 * [backup-simplify]: Simplify x into x 3.136 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.136 * [taylor]: Taking taylor expansion of y in y 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (* 1 1) into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.137 * [taylor]: Taking taylor expansion of x in x 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (* 1 1) into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.137 * [taylor]: Taking taylor expansion of y in x 3.137 * [backup-simplify]: Simplify y into y 3.137 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.138 * [taylor]: Taking taylor expansion of x in x 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (* 1 1) into 1 3.138 * [backup-simplify]: Simplify (/ 1 1) into 1 3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.138 * [taylor]: Taking taylor expansion of y in x 3.138 * [backup-simplify]: Simplify y into y 3.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.139 * [backup-simplify]: Simplify (+ 1 0) into 1 3.139 * [taylor]: Taking taylor expansion of 1 in y 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [taylor]: Taking taylor expansion of 0 in y 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.141 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.141 * [taylor]: Taking taylor expansion of y in y 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (* 1 1) into 1 3.142 * [backup-simplify]: Simplify (/ 1 1) into 1 3.142 * [backup-simplify]: Simplify (- 1) into -1 3.142 * [backup-simplify]: Simplify -1 into -1 3.142 * [backup-simplify]: Simplify 1 into 1 3.143 * [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 3.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.144 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [taylor]: Taking taylor expansion of 0 in y 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (- 0) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.147 * [backup-simplify]: Simplify (- 0) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.147 * [taylor]: Taking taylor expansion of 0 in y 3.147 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (- 0) into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 3.149 * * * [progress]: simplifying candidates 3.156 * [simplify]: Simplifying: (- (log (- (pow x 4) (pow y 4))) (log (- (* x x) (* y y)))) (log (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (exp (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (/ (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (* (* (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (sqrt (/ (- (pow x 4) (pow 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2)) (sqrt (pow y 4))) (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (- (pow x (/ 4 2)) (pow y (/ 4 2))) (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow y 4)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) y x (* -1 x) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 3.163 * * [simplify]: Extracting # 0 : cost 0 3.164 * * [simplify]: Extracting # 1 : cost 0 3.164 * * [simplify]: Extracting # 2 : cost 0 3.165 * * [simplify]: Extracting # 3 : cost 0 3.165 * * [simplify]: Extracting # 4 : cost 0 3.166 * * [simplify]: Extracting # 5 : cost 0 3.166 * * [simplify]: Extracting # 6 : cost 0 3.167 * * [simplify]: Extracting # 7 : cost 0 3.167 * * [simplify]: iteration 0 : 337 enodes (cost 5423 ) 3.312 * * [simplify]: Extracting # 0 : cost 0 3.314 * * [simplify]: Extracting # 1 : cost 0 3.316 * * [simplify]: Extracting # 2 : cost 0 3.317 * * [simplify]: Extracting # 3 : cost 0 3.318 * * [simplify]: Extracting # 4 : cost 0 3.318 * * [simplify]: iteration 1 : 689 enodes (cost 5012 ) 3.823 * * [simplify]: Extracting # 0 : cost 0 3.827 * * [simplify]: Extracting # 1 : cost 0 3.831 * * [simplify]: Extracting # 2 : cost 0 3.839 * * [simplify]: Extracting # 3 : cost 0 3.847 * * [simplify]: Extracting # 4 : cost 0 3.855 * * [simplify]: iteration 2 : 3391 enodes (cost 4873 ) 5.713 * * [simplify]: Extracting # 0 : cost 0 5.721 * * [simplify]: Extracting # 1 : cost 0 5.728 * * [simplify]: Extracting # 2 : cost 0 5.740 * * [simplify]: Extracting # 3 : cost 0 5.747 * * [simplify]: Extracting # 4 : cost 0 5.753 * * [simplify]: iteration done: 5000 enodes (cost 4757 ) 5.755 * [simplify]: Simplified to: (log (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (log (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (exp (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (pow (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) 3) (* (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (pow (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) 3) (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (- (- (pow x 4) (pow y 4))) (- (- (* x x) (* y y))) (/ (pow x 4) (- (* x x) (* y y))) (/ (pow y 4) (- (* x x) (* y y))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) 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2))) (pow x 4))) (sqrt (/ (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)))) (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))))) (sqrt (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))))) (exp (- (pow x 4) (pow y 4))) (log (- (pow x 4) (pow y 4))) (exp (- (pow x 4) (pow y 4))) (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (cbrt (- (pow x 4) (pow y 4))) (pow (- (pow x 4) (pow y 4)) 3) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (pow x 4) (pow y 4))) (- (pow (pow x 4) 3) (pow (pow y 4) 3)) (+ (+ (pow x 8) (pow y 8)) (* (pow x 4) (pow y 4))) (- (pow y 4)) (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4)) (+ (* y y) (* x x)) (* (+ x y) (- x y)) (+ (* x x) (sqrt (pow y 4))) (- (* x x) (sqrt (pow y 4))) (+ (* x x) (* y y)) (* (+ x y) (- x y)) (+ (sqrt (pow x 4)) (* y y)) (- (sqrt (pow x 4)) (* y y)) (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (- (sqrt (pow x 4)) (sqrt (pow y 4))) (+ (* y y) (sqrt (pow x 4))) (- (sqrt (pow x 4)) (* y y)) (+ (* x x) (* y y)) (* (+ x y) (- x y)) (+ (sqrt (pow y 4)) (pow x 2)) (- (pow x 2) (sqrt (pow y 4))) (+ (* x x) (* y y)) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow y 4)) (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 y) (- x y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow x 6) (pow y 6)) (+ (* (pow y 2) (+ (pow x 2) (pow y 2))) (pow x 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) y x (- x) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 5.757 * * * [progress]: adding candidates to table 6.601 * * [progress]: iteration 4 / 4 6.601 * * * [progress]: picking best candidate 6.604 * * * * [pick]: Picked # 6.605 * * * [progress]: localizing error 6.605 * * * [progress]: generating rewritten candidates 6.605 * * * [progress]: generating series expansions 6.605 * * * [progress]: simplifying candidates 6.606 * [simplify]: Simplifying: 6.606 * * [simplify]: Extracting # 0 : cost 0 6.606 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 6.606 * * [simplify]: Extracting # 0 : cost 0 6.606 * * [simplify]: iteration done: 0 enodes (cost 0 ) 6.606 * [simplify]: Simplified to: 6.606 * * * [progress]: adding candidates to table 6.606 * [progress]: [Phase 3 of 3] Extracting. 6.606 * * [regime]: Finding splitpoints for: (# # # # # #) 6.607 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 6.607 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 6.635 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 6.651 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 6.687 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 6.713 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 6.753 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 6.771 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 6.817 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 6.842 * * * * [regimes]: Trying to branch on y from (# # # # # #) 6.933 * * * * [regimes]: Trying to branch on x from (# # # # # #) 6.984 * * * [regime]: Found split indices: #