30.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: Extracting # 2 : cost 0 0.028 * * [simplify]: Extracting # 3 : cost 0 0.028 * * [simplify]: Extracting # 4 : cost 0 0.028 * * [simplify]: Extracting # 5 : cost 0 0.028 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.032 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.071 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.071 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.071 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.072 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.072 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 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 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [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 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [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 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.074 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.074 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.074 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.074 * [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 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.076 * [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 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.077 * [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 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.080 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (sqrt 1) into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.085 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (sqrt 1) into 1 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (sqrt 1) into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.102 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [backup-simplify]: Simplify 1/2 into 1/2 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.105 * [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 0.106 * [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 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.109 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.109 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [backup-simplify]: Simplify x into x 0.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (+ 0 1) into 1 0.110 * [backup-simplify]: Simplify (sqrt 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify (sqrt 1) into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.117 * [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 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.120 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.123 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of 1/2 in y 0.123 * [backup-simplify]: Simplify 1/2 into 1/2 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.129 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.129 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [backup-simplify]: Simplify x into x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.130 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [backup-simplify]: Simplify y into y 0.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.130 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 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 1)) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.136 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.136 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [backup-simplify]: Simplify x into x 0.137 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [taylor]: Taking taylor expansion of 1 in y 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.151 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.152 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [backup-simplify]: Simplify x into x 0.152 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow 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) 0.155 * [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 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.167 * * * [progress]: simplifying candidates 0.167 * [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)) 0.168 * * [simplify]: Extracting # 0 : cost 0 0.168 * * [simplify]: Extracting # 1 : cost 0 0.168 * * [simplify]: Extracting # 2 : cost 0 0.168 * * [simplify]: Extracting # 3 : cost 0 0.168 * * [simplify]: Extracting # 4 : cost 0 0.169 * * [simplify]: Extracting # 5 : cost 0 0.169 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.184 * * [simplify]: Extracting # 0 : cost 0 0.185 * * [simplify]: Extracting # 1 : cost 0 0.185 * * [simplify]: Extracting # 2 : cost 0 0.185 * * [simplify]: Extracting # 3 : cost 0 0.185 * * [simplify]: Extracting # 4 : cost 0 0.185 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.241 * * [simplify]: Extracting # 0 : cost 0 0.241 * * [simplify]: Extracting # 1 : cost 0 0.242 * * [simplify]: Extracting # 2 : cost 0 0.242 * * [simplify]: Extracting # 3 : cost 0 0.243 * * [simplify]: Extracting # 4 : cost 0 0.243 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.443 * * [simplify]: Extracting # 0 : cost 0 0.444 * * [simplify]: Extracting # 1 : cost 0 0.445 * * [simplify]: Extracting # 2 : cost 0 0.446 * * [simplify]: Extracting # 3 : cost 0 0.447 * * [simplify]: Extracting # 4 : cost 0 0.448 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.170 * * [simplify]: Extracting # 0 : cost 0 1.175 * * [simplify]: Extracting # 1 : cost 0 1.178 * * [simplify]: Extracting # 2 : cost 0 1.182 * * [simplify]: Extracting # 3 : cost 0 1.185 * * [simplify]: Extracting # 4 : cost 0 1.194 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 2.472 * * [simplify]: Extracting # 0 : cost 0 2.479 * * [simplify]: Extracting # 1 : cost 0 2.486 * * [simplify]: Extracting # 2 : cost 0 2.493 * * [simplify]: Extracting # 3 : cost 0 2.500 * * [simplify]: Extracting # 4 : cost 0 2.508 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 2.508 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.509 * * * [progress]: adding candidates to table 2.616 * * [progress]: iteration 2 / 4 2.616 * * * [progress]: picking best candidate 2.622 * * * * [pick]: Picked # 2.622 * * * [progress]: localizing error 2.644 * * * [progress]: generating rewritten candidates 2.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.657 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.666 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.677 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.689 * * * [progress]: generating series expansions 2.689 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.689 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.689 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.689 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.689 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.689 * [taylor]: Taking taylor expansion of x in y 2.689 * [backup-simplify]: Simplify x into x 2.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.689 * [taylor]: Taking taylor expansion of y in y 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.690 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.690 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.690 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.691 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.691 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.691 * [taylor]: Taking taylor expansion of y in x 2.691 * [backup-simplify]: Simplify y into y 2.691 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.691 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.691 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.691 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.692 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.692 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.692 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.692 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.693 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.693 * [taylor]: Taking taylor expansion of y in y 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [taylor]: Taking taylor expansion of 0 in y 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (* 1 1) into 1 2.694 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.694 * [backup-simplify]: Simplify (+ 1 0) into 1 2.695 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.695 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.695 * [taylor]: Taking taylor expansion of 1/2 in y 2.695 * [backup-simplify]: Simplify 1/2 into 1/2 2.695 * [taylor]: Taking taylor expansion of y in y 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.698 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.698 * [taylor]: Taking taylor expansion of 0 in y 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.699 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.699 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.699 * [taylor]: Taking taylor expansion of x in y 2.699 * [backup-simplify]: Simplify x into x 2.700 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.700 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.700 * [taylor]: Taking taylor expansion of y in y 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (/ 1 1) into 1 2.701 * [backup-simplify]: Simplify (+ 0 1) into 1 2.701 * [backup-simplify]: Simplify (sqrt 1) into 1 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (+ 0 0) into 0 2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (* 1 1) into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.704 * [taylor]: Taking taylor expansion of y in x 2.704 * [backup-simplify]: Simplify y into y 2.704 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.704 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.705 * [backup-simplify]: Simplify (+ 1 0) into 1 2.705 * [backup-simplify]: Simplify (sqrt 1) into 1 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.708 * [taylor]: Taking taylor expansion of y in x 2.708 * [backup-simplify]: Simplify y into y 2.708 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.708 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.708 * [backup-simplify]: Simplify (+ 1 0) into 1 2.709 * [backup-simplify]: Simplify (sqrt 1) into 1 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.717 * [taylor]: Taking taylor expansion of 1 in y 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [taylor]: Taking taylor expansion of 0 in y 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.720 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.720 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.720 * [taylor]: Taking taylor expansion of 1/2 in y 2.720 * [backup-simplify]: Simplify 1/2 into 1/2 2.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.720 * [taylor]: Taking taylor expansion of y in y 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (* 1 1) into 1 2.721 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.725 * [taylor]: Taking taylor expansion of 0 in y 2.725 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.727 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.727 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.727 * [taylor]: Taking taylor expansion of x in y 2.727 * [backup-simplify]: Simplify x into x 2.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.727 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.727 * [taylor]: Taking taylor expansion of y in y 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (* 1 1) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [backup-simplify]: Simplify (+ 0 1) into 1 2.729 * [backup-simplify]: Simplify (sqrt 1) into 1 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.732 * [taylor]: Taking taylor expansion of y in x 2.732 * [backup-simplify]: Simplify y into y 2.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.732 * [backup-simplify]: Simplify (+ 1 0) into 1 2.733 * [backup-simplify]: Simplify (sqrt 1) into 1 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.735 * [taylor]: Taking taylor expansion of y in x 2.735 * [backup-simplify]: Simplify y into y 2.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.736 * [backup-simplify]: Simplify (+ 1 0) into 1 2.736 * [backup-simplify]: Simplify (sqrt 1) into 1 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.738 * [taylor]: Taking taylor expansion of 1 in y 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of 0 in y 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.741 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.741 * [taylor]: Taking taylor expansion of 1/2 in y 2.741 * [backup-simplify]: Simplify 1/2 into 1/2 2.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (* 1 1) into 1 2.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.746 * [taylor]: Taking taylor expansion of 0 in y 2.746 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.748 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.748 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.748 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.748 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.748 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.748 * [taylor]: Taking taylor expansion of x in y 2.748 * [backup-simplify]: Simplify x into x 2.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.748 * [taylor]: Taking taylor expansion of y in y 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.748 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.748 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.749 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.749 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.749 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.749 * [taylor]: Taking taylor expansion of y in x 2.749 * [backup-simplify]: Simplify y into y 2.749 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.749 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.750 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.750 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.750 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.750 * [taylor]: Taking taylor expansion of y in x 2.750 * [backup-simplify]: Simplify y into y 2.750 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.750 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.751 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.751 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.751 * [taylor]: Taking taylor expansion of y in y 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [taylor]: Taking taylor expansion of 0 in y 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.752 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.752 * [backup-simplify]: Simplify (+ 1 0) into 1 2.753 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.753 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.753 * [taylor]: Taking taylor expansion of 1/2 in y 2.753 * [backup-simplify]: Simplify 1/2 into 1/2 2.753 * [taylor]: Taking taylor expansion of y in y 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.755 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.756 * [taylor]: Taking taylor expansion of 0 in y 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.757 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.757 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.757 * [taylor]: Taking taylor expansion of x in y 2.757 * [backup-simplify]: Simplify x into x 2.757 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.758 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.758 * [taylor]: Taking taylor expansion of y in y 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.758 * [backup-simplify]: Simplify (/ 1 1) into 1 2.759 * [backup-simplify]: Simplify (+ 0 1) into 1 2.759 * [backup-simplify]: Simplify (sqrt 1) into 1 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.761 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.761 * [taylor]: Taking taylor expansion of y in x 2.761 * [backup-simplify]: Simplify y into y 2.761 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.761 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.762 * [backup-simplify]: Simplify (+ 1 0) into 1 2.762 * [backup-simplify]: Simplify (sqrt 1) into 1 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (* 1 1) into 1 2.764 * [backup-simplify]: Simplify (/ 1 1) into 1 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.764 * [taylor]: Taking taylor expansion of y in x 2.764 * [backup-simplify]: Simplify y into y 2.764 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.764 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.764 * [backup-simplify]: Simplify (+ 1 0) into 1 2.764 * [backup-simplify]: Simplify (sqrt 1) into 1 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.766 * [taylor]: Taking taylor expansion of 1 in y 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [taylor]: Taking taylor expansion of 0 in y 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.768 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.768 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.768 * [taylor]: Taking taylor expansion of 1/2 in y 2.768 * [backup-simplify]: Simplify 1/2 into 1/2 2.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.768 * [taylor]: Taking taylor expansion of y in y 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.772 * [taylor]: Taking taylor expansion of 0 in y 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.774 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.774 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.774 * [taylor]: Taking taylor expansion of x in y 2.774 * [backup-simplify]: Simplify x into x 2.774 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.774 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.774 * [taylor]: Taking taylor expansion of y in y 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [backup-simplify]: Simplify (+ 0 1) into 1 2.776 * [backup-simplify]: Simplify (sqrt 1) into 1 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.778 * [taylor]: Taking taylor expansion of y in x 2.778 * [backup-simplify]: Simplify y into y 2.778 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.779 * [backup-simplify]: Simplify (+ 1 0) into 1 2.779 * [backup-simplify]: Simplify (sqrt 1) into 1 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.782 * [taylor]: Taking taylor expansion of x in x 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify (/ 1 1) into 1 2.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.782 * [taylor]: Taking taylor expansion of y in x 2.782 * [backup-simplify]: Simplify y into y 2.782 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.782 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.783 * [backup-simplify]: Simplify (+ 1 0) into 1 2.783 * [backup-simplify]: Simplify (sqrt 1) into 1 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.785 * [taylor]: Taking taylor expansion of 1 in y 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [taylor]: Taking taylor expansion of 0 in y 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.788 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.788 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.788 * [taylor]: Taking taylor expansion of 1/2 in y 2.788 * [backup-simplify]: Simplify 1/2 into 1/2 2.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.788 * [taylor]: Taking taylor expansion of y in y 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.793 * [taylor]: Taking taylor expansion of 0 in y 2.793 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.795 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.795 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.795 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.795 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.795 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.795 * [taylor]: Taking taylor expansion of x in y 2.795 * [backup-simplify]: Simplify x into x 2.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.795 * [taylor]: Taking taylor expansion of y in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.795 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.795 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.795 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.796 * [taylor]: Taking taylor expansion of x in x 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.796 * [taylor]: Taking taylor expansion of y in x 2.796 * [backup-simplify]: Simplify y into y 2.796 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.796 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.796 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.797 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.797 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.797 * [taylor]: Taking taylor expansion of y in x 2.797 * [backup-simplify]: Simplify y into y 2.797 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.797 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.798 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.798 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.798 * [taylor]: Taking taylor expansion of y in y 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [taylor]: Taking taylor expansion of 0 in y 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.799 * [backup-simplify]: Simplify (+ 1 0) into 1 2.800 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.800 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.800 * [taylor]: Taking taylor expansion of 1/2 in y 2.800 * [backup-simplify]: Simplify 1/2 into 1/2 2.800 * [taylor]: Taking taylor expansion of y in y 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.803 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.803 * [taylor]: Taking taylor expansion of 0 in y 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.804 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.804 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.805 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.805 * [taylor]: Taking taylor expansion of x in y 2.805 * [backup-simplify]: Simplify x into x 2.805 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.805 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.805 * [taylor]: Taking taylor expansion of y in y 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [backup-simplify]: Simplify (+ 0 1) into 1 2.806 * [backup-simplify]: Simplify (sqrt 1) into 1 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* 1 1) into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.809 * [taylor]: Taking taylor expansion of y in x 2.809 * [backup-simplify]: Simplify y into y 2.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.809 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.810 * [backup-simplify]: Simplify (+ 1 0) into 1 2.810 * [backup-simplify]: Simplify (sqrt 1) into 1 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (+ 0 0) into 0 2.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 2.813 * [backup-simplify]: Simplify (* 1 1) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.813 * [taylor]: Taking taylor expansion of y in x 2.813 * [backup-simplify]: Simplify y into y 2.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.814 * [backup-simplify]: Simplify (+ 1 0) into 1 2.814 * [backup-simplify]: Simplify (sqrt 1) into 1 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.816 * [taylor]: Taking taylor expansion of 1 in y 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [taylor]: Taking taylor expansion of 0 in y 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.819 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.819 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.819 * [taylor]: Taking taylor expansion of 1/2 in y 2.819 * [backup-simplify]: Simplify 1/2 into 1/2 2.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.819 * [taylor]: Taking taylor expansion of y in y 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.824 * [taylor]: Taking taylor expansion of 0 in y 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.826 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.826 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.826 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.826 * [taylor]: Taking taylor expansion of x in y 2.826 * [backup-simplify]: Simplify x into x 2.826 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.826 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.826 * [taylor]: Taking taylor expansion of y in y 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [backup-simplify]: Simplify (+ 0 1) into 1 2.828 * [backup-simplify]: Simplify (sqrt 1) into 1 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.830 * [taylor]: Taking taylor expansion of x in x 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (* 1 1) into 1 2.831 * [backup-simplify]: Simplify (/ 1 1) into 1 2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.831 * [taylor]: Taking taylor expansion of y in x 2.831 * [backup-simplify]: Simplify y into y 2.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.831 * [backup-simplify]: Simplify (+ 1 0) into 1 2.832 * [backup-simplify]: Simplify (sqrt 1) into 1 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 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 y 2)) in x 2.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.838 * [taylor]: Taking taylor expansion of y in x 2.838 * [backup-simplify]: Simplify y into y 2.838 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.839 * [backup-simplify]: Simplify (+ 1 0) into 1 2.839 * [backup-simplify]: Simplify (sqrt 1) into 1 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.841 * [taylor]: Taking taylor expansion of 1 in y 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of 0 in y 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.844 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.844 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.844 * [taylor]: Taking taylor expansion of 1/2 in y 2.844 * [backup-simplify]: Simplify 1/2 into 1/2 2.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.844 * [taylor]: Taking taylor expansion of y in y 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (* 1 1) into 1 2.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.849 * [taylor]: Taking taylor expansion of 0 in y 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.851 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.851 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* x x) (* y y)))) into (pow (+ (pow x 2) (pow y 2)) 1/6) 2.851 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in (x y) around 0 2.851 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 2.851 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 2.851 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 2.851 * [taylor]: Taking taylor expansion of 1/6 in y 2.851 * [backup-simplify]: Simplify 1/6 into 1/6 2.851 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.851 * [taylor]: Taking taylor expansion of x in y 2.851 * [backup-simplify]: Simplify x into x 2.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.851 * [taylor]: Taking taylor expansion of y in y 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.851 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.851 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.852 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2))) 2.852 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6) 2.852 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 2.852 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 2.852 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 2.852 * [taylor]: Taking taylor expansion of 1/6 in x 2.852 * [backup-simplify]: Simplify 1/6 into 1/6 2.852 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.852 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.852 * [taylor]: Taking taylor expansion of x in x 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.852 * [taylor]: Taking taylor expansion of y in x 2.852 * [backup-simplify]: Simplify y into y 2.852 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.852 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.852 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.853 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2))) 2.853 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6) 2.853 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 2.853 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 2.853 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 2.853 * [taylor]: Taking taylor expansion of 1/6 in x 2.853 * [backup-simplify]: Simplify 1/6 into 1/6 2.853 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.853 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.853 * [taylor]: Taking taylor expansion of y in x 2.853 * [backup-simplify]: Simplify y into y 2.853 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.853 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.853 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.853 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2))) 2.854 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6) 2.854 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y 2.854 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y 2.854 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y 2.854 * [taylor]: Taking taylor expansion of 1/6 in y 2.854 * [backup-simplify]: Simplify 1/6 into 1/6 2.854 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.854 * [taylor]: Taking taylor expansion of y in y 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.854 * [backup-simplify]: Simplify (log 1) into 0 2.855 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.855 * [backup-simplify]: Simplify (* 1/6 (* 2 (log y))) into (* 1/3 (log y)) 2.855 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 2.855 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3) 2.855 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.856 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.857 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow y 2)))) into 0 2.857 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.857 * [taylor]: Taking taylor expansion of 0 in y 2.857 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.860 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.860 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log y)))) into 0 2.861 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (* 1 1) into 1 2.861 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.862 * [backup-simplify]: Simplify (+ 1 0) into 1 2.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 2.864 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/6 (/ 1 (pow y 2))) 2.865 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 2.865 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 2.865 * [taylor]: Taking taylor expansion of 1/6 in y 2.865 * [backup-simplify]: Simplify 1/6 into 1/6 2.865 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 2.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 2.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 2.865 * [taylor]: Taking taylor expansion of 1/3 in y 2.865 * [backup-simplify]: Simplify 1/3 into 1/3 2.865 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 2.865 * [taylor]: Taking taylor expansion of (pow y 5) in y 2.865 * [taylor]: Taking taylor expansion of y in y 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.867 * [backup-simplify]: Simplify (log 1) into 0 2.867 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y))) 2.867 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log y)))) into (* -5/3 (log y)) 2.867 * [backup-simplify]: Simplify (exp (* -5/3 (log y))) into (pow y -5/3) 2.867 * [backup-simplify]: Simplify (* 1/6 (pow y -5/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 2.867 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.871 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.871 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 2.872 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.874 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 2.877 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 2.879 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.879 * [taylor]: Taking taylor expansion of 0 in y 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.883 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y))) 2.883 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log y))))) into 0 2.884 * [backup-simplify]: Simplify (* (exp (* -5/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow y -5/3))) into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.890 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.890 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 2.892 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) (pow (* 1 x) 2)) (pow y 1/3)) into (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) 2.893 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 2.893 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 2.893 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.893 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.893 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.893 * [taylor]: Taking taylor expansion of 1/6 in y 2.893 * [backup-simplify]: Simplify 1/6 into 1/6 2.893 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.893 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.893 * [taylor]: Taking taylor expansion of x in y 2.893 * [backup-simplify]: Simplify x into x 2.893 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.893 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.893 * [taylor]: Taking taylor expansion of y in y 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (* 1 1) into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [backup-simplify]: Simplify (+ 0 1) into 1 2.894 * [backup-simplify]: Simplify (log 1) into 0 2.895 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.895 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.895 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.895 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.895 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.895 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.895 * [taylor]: Taking taylor expansion of 1/6 in x 2.895 * [backup-simplify]: Simplify 1/6 into 1/6 2.895 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.895 * [taylor]: Taking taylor expansion of x in x 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (* 1 1) into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.896 * [taylor]: Taking taylor expansion of y in x 2.896 * [backup-simplify]: Simplify y into y 2.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.897 * [backup-simplify]: Simplify (+ 1 0) into 1 2.897 * [backup-simplify]: Simplify (log 1) into 0 2.897 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.897 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.897 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.897 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.897 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.898 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.898 * [taylor]: Taking taylor expansion of 1/6 in x 2.898 * [backup-simplify]: Simplify 1/6 into 1/6 2.898 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.898 * [taylor]: Taking taylor expansion of x in x 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (* 1 1) into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.898 * [taylor]: Taking taylor expansion of y in x 2.898 * [backup-simplify]: Simplify y into y 2.899 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.899 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.899 * [backup-simplify]: Simplify (+ 1 0) into 1 2.899 * [backup-simplify]: Simplify (log 1) into 0 2.900 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.900 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.900 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.900 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 2.900 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 2.900 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 2.900 * [taylor]: Taking taylor expansion of -1/3 in y 2.900 * [backup-simplify]: Simplify -1/3 into -1/3 2.900 * [taylor]: Taking taylor expansion of (log x) in y 2.900 * [taylor]: Taking taylor expansion of x in y 2.900 * [backup-simplify]: Simplify x into x 2.900 * [backup-simplify]: Simplify (log x) into (log x) 2.900 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x)) 2.900 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.900 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.903 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.904 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0 2.904 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.904 * [taylor]: Taking taylor expansion of 0 in y 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.905 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0 2.906 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.909 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 2.910 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.910 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2))) 2.911 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) 2.911 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 2.911 * [taylor]: Taking taylor expansion of 1/6 in y 2.911 * [backup-simplify]: Simplify 1/6 into 1/6 2.911 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 2.911 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.911 * [taylor]: Taking taylor expansion of 1/3 in y 2.911 * [backup-simplify]: Simplify 1/3 into 1/3 2.911 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.911 * [taylor]: Taking taylor expansion of x in y 2.911 * [backup-simplify]: Simplify x into x 2.911 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.912 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x)) 2.912 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x))) 2.912 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3) 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.912 * [taylor]: Taking taylor expansion of y in y 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (* 1 1) into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0 2.916 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0 2.917 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0 2.920 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.921 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3) 2.922 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.924 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.925 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.928 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.931 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.932 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.934 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.934 * [taylor]: Taking taylor expansion of 0 in y 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify (pow (/ 1 x) -1/3) into (pow (/ 1 x) -1/3) 2.934 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 2.934 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 2.934 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.934 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.934 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.934 * [taylor]: Taking taylor expansion of 1/6 in y 2.934 * [backup-simplify]: Simplify 1/6 into 1/6 2.934 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.934 * [taylor]: Taking taylor expansion of x in y 2.934 * [backup-simplify]: Simplify x into x 2.935 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.935 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 (* 1 1) into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [backup-simplify]: Simplify (+ 0 1) into 1 2.936 * [backup-simplify]: Simplify (log 1) into 0 2.936 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.936 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.937 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.937 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.937 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.937 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.937 * [taylor]: Taking taylor expansion of 1/6 in x 2.937 * [backup-simplify]: Simplify 1/6 into 1/6 2.937 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (* 1 1) into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.937 * [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) 2.938 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.938 * [backup-simplify]: Simplify (+ 1 0) into 1 2.938 * [backup-simplify]: Simplify (log 1) into 0 2.939 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.939 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.939 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.939 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.939 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.939 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.939 * [taylor]: Taking taylor expansion of 1/6 in x 2.939 * [backup-simplify]: Simplify 1/6 into 1/6 2.939 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.939 * [taylor]: Taking taylor expansion of x in x 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (* 1 1) into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.940 * [taylor]: Taking taylor expansion of y in x 2.940 * [backup-simplify]: Simplify y into y 2.940 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.940 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.940 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (log 1) into 0 2.941 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.941 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.941 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.941 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 2.941 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 2.941 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 2.941 * [taylor]: Taking taylor expansion of -1/3 in y 2.941 * [backup-simplify]: Simplify -1/3 into -1/3 2.941 * [taylor]: Taking taylor expansion of (log x) in y 2.942 * [taylor]: Taking taylor expansion of x in y 2.942 * [backup-simplify]: Simplify x into x 2.942 * [backup-simplify]: Simplify (log x) into (log x) 2.942 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x)) 2.942 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.942 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 2.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.945 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.945 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0 2.946 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.946 * [taylor]: Taking taylor expansion of 0 in y 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.947 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0 2.948 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.949 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 2.951 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.952 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2))) 2.952 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) 2.952 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 2.953 * [taylor]: Taking taylor expansion of 1/6 in y 2.953 * [backup-simplify]: Simplify 1/6 into 1/6 2.953 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 2.953 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.953 * [taylor]: Taking taylor expansion of 1/3 in y 2.953 * [backup-simplify]: Simplify 1/3 into 1/3 2.953 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.953 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.953 * [taylor]: Taking taylor expansion of x in y 2.953 * [backup-simplify]: Simplify x into x 2.953 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.953 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x)) 2.953 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x))) 2.953 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3) 2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.953 * [taylor]: Taking taylor expansion of y in y 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (* 1 1) into 1 2.954 * [backup-simplify]: Simplify (/ 1 1) into 1 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0 2.961 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0 2.962 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0 2.964 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0 2.965 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.966 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.966 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3) 2.967 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.969 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.970 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.976 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.977 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.978 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.978 * [taylor]: Taking taylor expansion of 0 in y 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/3) into (pow (/ -1 x) -1/3) 2.979 * * * [progress]: simplifying candidates 2.980 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (exp (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt 1) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (sqrt (- (* x x) (* y y)))) (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 2.982 * * [simplify]: Extracting # 0 : cost 0 2.982 * * [simplify]: Extracting # 1 : cost 0 2.982 * * [simplify]: Extracting # 2 : cost 0 2.982 * * [simplify]: Extracting # 3 : cost 0 2.983 * * [simplify]: Extracting # 4 : cost 0 2.983 * * [simplify]: Extracting # 5 : cost 0 2.983 * * [simplify]: Extracting # 6 : cost 0 2.983 * * [simplify]: Extracting # 7 : cost 0 2.983 * * [simplify]: Extracting # 8 : cost 0 2.983 * * [simplify]: Extracting # 9 : cost 0 2.983 * * [simplify]: Extracting # 10 : cost 0 2.983 * * [simplify]: Extracting # 11 : cost 0 2.984 * * [simplify]: Extracting # 12 : cost 0 2.984 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 3.007 * * [simplify]: Extracting # 0 : cost 0 3.007 * * [simplify]: Extracting # 1 : cost 0 3.007 * * [simplify]: Extracting # 2 : cost 0 3.007 * * [simplify]: Extracting # 3 : cost 0 3.008 * * [simplify]: Extracting # 4 : cost 0 3.008 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 3.051 * * [simplify]: Extracting # 0 : cost 0 3.052 * * [simplify]: Extracting # 1 : cost 0 3.052 * * [simplify]: Extracting # 2 : cost 0 3.053 * * [simplify]: Extracting # 3 : cost 0 3.053 * * [simplify]: Extracting # 4 : cost 0 3.054 * * [simplify]: Extracting # 5 : cost 0 3.054 * * [simplify]: iteration 2 : 323 enodes (cost 761 ) 3.151 * * [simplify]: Extracting # 0 : cost 0 3.152 * * [simplify]: Extracting # 1 : cost 0 3.153 * * [simplify]: Extracting # 2 : cost 0 3.154 * * [simplify]: Extracting # 3 : cost 0 3.154 * * [simplify]: Extracting # 4 : cost 0 3.155 * * [simplify]: iteration 3 : 693 enodes (cost 750 ) 3.426 * * [simplify]: Extracting # 0 : cost 0 3.428 * * [simplify]: Extracting # 1 : cost 0 3.435 * * [simplify]: Extracting # 2 : cost 0 3.436 * * [simplify]: Extracting # 3 : cost 0 3.438 * * [simplify]: Extracting # 4 : cost 0 3.440 * * [simplify]: iteration 4 : 1885 enodes (cost 750 ) 4.218 * * [simplify]: Extracting # 0 : cost 0 4.225 * * [simplify]: Extracting # 1 : cost 0 4.236 * * [simplify]: Extracting # 2 : cost 0 4.244 * * [simplify]: Extracting # 3 : cost 0 4.251 * * [simplify]: Extracting # 4 : cost 0 4.259 * * [simplify]: iteration done: 5001 enodes (cost 750 ) 4.259 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (exp (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (fabs (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (pow y 6) (pow x 6)))) (cbrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (sqrt (- (pow x 4) (pow y 4)))) (cbrt (sqrt (- (* x x) (* y y)))) (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) y x (- x) y x (- x) y x (- x) (+ (* (* (* x x) (cbrt (/ 1 (pow y 5)))) 1/6) (cbrt y)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 4.260 * * * [progress]: adding candidates to table 4.552 * * [progress]: iteration 3 / 4 4.552 * * * [progress]: picking best candidate 4.559 * * * * [pick]: Picked # 4.559 * * * [progress]: localizing error 4.579 * * * [progress]: generating rewritten candidates 4.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 4.590 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.608 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.621 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.638 * * * [progress]: generating series expansions 4.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 4.638 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 4.639 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 4.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 4.639 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.639 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.639 * [taylor]: Taking taylor expansion of x in y 4.639 * [backup-simplify]: Simplify x into x 4.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.639 * [taylor]: Taking taylor expansion of y in y 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.639 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.639 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.639 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.639 * [backup-simplify]: Simplify (+ 0 0) into 0 4.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.640 * [taylor]: Taking taylor expansion of y in x 4.640 * [backup-simplify]: Simplify y into y 4.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.640 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.640 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.640 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.640 * [backup-simplify]: Simplify (+ 0 0) into 0 4.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.641 * [taylor]: Taking taylor expansion of y in x 4.641 * [backup-simplify]: Simplify y into y 4.641 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.641 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.641 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.641 * [taylor]: Taking taylor expansion of y in y 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [taylor]: Taking taylor expansion of 0 in y 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (* 1 1) into 1 4.642 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.642 * [backup-simplify]: Simplify (+ 1 0) into 1 4.643 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.643 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.643 * [taylor]: Taking taylor expansion of 1/2 in y 4.643 * [backup-simplify]: Simplify 1/2 into 1/2 4.643 * [taylor]: Taking taylor expansion of y in y 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.644 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.645 * [taylor]: Taking taylor expansion of 0 in y 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.646 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.646 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.646 * [taylor]: Taking taylor expansion of x in y 4.646 * [backup-simplify]: Simplify x into x 4.646 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.646 * [taylor]: Taking taylor expansion of y in y 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (* 1 1) into 1 4.647 * [backup-simplify]: Simplify (/ 1 1) into 1 4.647 * [backup-simplify]: Simplify (+ 0 1) into 1 4.647 * [backup-simplify]: Simplify (sqrt 1) into 1 4.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (+ 0 0) into 0 4.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.649 * [taylor]: Taking taylor expansion of x in x 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify (* 1 1) into 1 4.649 * [backup-simplify]: Simplify (/ 1 1) into 1 4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.649 * [taylor]: Taking taylor expansion of y in x 4.649 * [backup-simplify]: Simplify y into y 4.649 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.649 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.650 * [backup-simplify]: Simplify (+ 1 0) into 1 4.650 * [backup-simplify]: Simplify (sqrt 1) into 1 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.652 * [backup-simplify]: Simplify (* 1 1) into 1 4.652 * [backup-simplify]: Simplify (/ 1 1) into 1 4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.652 * [backup-simplify]: Simplify y into y 4.652 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.652 * [backup-simplify]: Simplify (+ 1 0) into 1 4.653 * [backup-simplify]: Simplify (sqrt 1) into 1 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.654 * [taylor]: Taking taylor expansion of 1 in y 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [taylor]: Taking taylor expansion of 0 in y 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.655 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.656 * [taylor]: Taking taylor expansion of 1/2 in y 4.656 * [backup-simplify]: Simplify 1/2 into 1/2 4.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.656 * [taylor]: Taking taylor expansion of y in y 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (* 1 1) into 1 4.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.659 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.660 * [taylor]: Taking taylor expansion of 0 in y 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.661 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.661 * [taylor]: Taking taylor expansion of x in y 4.661 * [backup-simplify]: Simplify x into x 4.661 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.662 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.662 * [taylor]: Taking taylor expansion of y in y 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (* 1 1) into 1 4.662 * [backup-simplify]: Simplify (/ 1 1) into 1 4.662 * [backup-simplify]: Simplify (+ 0 1) into 1 4.663 * [backup-simplify]: Simplify (sqrt 1) into 1 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.664 * [taylor]: Taking taylor expansion of x in x 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify (* 1 1) into 1 4.665 * [backup-simplify]: Simplify (/ 1 1) into 1 4.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.665 * [taylor]: Taking taylor expansion of y in x 4.665 * [backup-simplify]: Simplify y into y 4.665 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.665 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.665 * [backup-simplify]: Simplify (+ 1 0) into 1 4.665 * [backup-simplify]: Simplify (sqrt 1) into 1 4.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.667 * [taylor]: Taking taylor expansion of x in x 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (* 1 1) into 1 4.667 * [backup-simplify]: Simplify (/ 1 1) into 1 4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.668 * [taylor]: Taking taylor expansion of y in x 4.668 * [backup-simplify]: Simplify y into y 4.668 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.668 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.668 * [backup-simplify]: Simplify (+ 1 0) into 1 4.668 * [backup-simplify]: Simplify (sqrt 1) into 1 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (+ 0 0) into 0 4.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.670 * [taylor]: Taking taylor expansion of 1 in y 4.670 * [backup-simplify]: Simplify 1 into 1 4.670 * [taylor]: Taking taylor expansion of 0 in y 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.672 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.672 * [taylor]: Taking taylor expansion of 1/2 in y 4.672 * [backup-simplify]: Simplify 1/2 into 1/2 4.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.672 * [taylor]: Taking taylor expansion of y in y 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (* 1 1) into 1 4.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.675 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.675 * [taylor]: Taking taylor expansion of 0 in y 4.675 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.677 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 4.677 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 4.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 4.677 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.677 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.677 * [taylor]: Taking taylor expansion of x in y 4.677 * [backup-simplify]: Simplify x into x 4.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.677 * [taylor]: Taking taylor expansion of y in y 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.677 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.677 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.677 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.677 * [backup-simplify]: Simplify (+ 0 0) into 0 4.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.678 * [taylor]: Taking taylor expansion of y in x 4.678 * [backup-simplify]: Simplify y into y 4.678 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.678 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.678 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.678 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.678 * [taylor]: Taking taylor expansion of y in x 4.678 * [backup-simplify]: Simplify y into y 4.678 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.679 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.679 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.679 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.679 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.679 * [taylor]: Taking taylor expansion of y in y 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [taylor]: Taking taylor expansion of 0 in y 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (* 1 1) into 1 4.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.680 * [backup-simplify]: Simplify (+ 1 0) into 1 4.680 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.681 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.681 * [taylor]: Taking taylor expansion of 1/2 in y 4.681 * [backup-simplify]: Simplify 1/2 into 1/2 4.681 * [taylor]: Taking taylor expansion of y in y 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.683 * [taylor]: Taking taylor expansion of 0 in y 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.684 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.684 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.684 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.684 * [taylor]: Taking taylor expansion of x in y 4.684 * [backup-simplify]: Simplify x into x 4.684 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.684 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.684 * [taylor]: Taking taylor expansion of y in y 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (* 1 1) into 1 4.684 * [backup-simplify]: Simplify (/ 1 1) into 1 4.685 * [backup-simplify]: Simplify (+ 0 1) into 1 4.685 * [backup-simplify]: Simplify (sqrt 1) into 1 4.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify (+ 0 0) into 0 4.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.687 * [taylor]: Taking taylor expansion of x in x 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (* 1 1) into 1 4.687 * [backup-simplify]: Simplify (/ 1 1) into 1 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.687 * [taylor]: Taking taylor expansion of y in x 4.687 * [backup-simplify]: Simplify y into y 4.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.687 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.688 * [backup-simplify]: Simplify (+ 1 0) into 1 4.688 * [backup-simplify]: Simplify (sqrt 1) into 1 4.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify (+ 0 0) into 0 4.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.689 * [taylor]: Taking taylor expansion of x in x 4.689 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 1 into 1 4.690 * [backup-simplify]: Simplify (* 1 1) into 1 4.693 * [backup-simplify]: Simplify (/ 1 1) into 1 4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.693 * [taylor]: Taking taylor expansion of y in x 4.693 * [backup-simplify]: Simplify y into y 4.693 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.693 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.694 * [backup-simplify]: Simplify (+ 1 0) into 1 4.694 * [backup-simplify]: Simplify (sqrt 1) into 1 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (+ 0 0) into 0 4.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.696 * [taylor]: Taking taylor expansion of 1 in y 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [taylor]: Taking taylor expansion of 0 in y 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.698 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.698 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.698 * [taylor]: Taking taylor expansion of 1/2 in y 4.698 * [backup-simplify]: Simplify 1/2 into 1/2 4.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.698 * [taylor]: Taking taylor expansion of y in y 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (* 1 1) into 1 4.698 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.701 * [backup-simplify]: Simplify (+ 0 0) into 0 4.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.701 * [taylor]: Taking taylor expansion of 0 in y 4.701 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.703 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.703 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.703 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.703 * [taylor]: Taking taylor expansion of x in y 4.703 * [backup-simplify]: Simplify x into x 4.703 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.703 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.703 * [taylor]: Taking taylor expansion of y in y 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [backup-simplify]: Simplify (* 1 1) into 1 4.703 * [backup-simplify]: Simplify (/ 1 1) into 1 4.704 * [backup-simplify]: Simplify (+ 0 1) into 1 4.704 * [backup-simplify]: Simplify (sqrt 1) into 1 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (+ 0 0) into 0 4.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.705 * [taylor]: Taking taylor expansion of x in x 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (* 1 1) into 1 4.706 * [backup-simplify]: Simplify (/ 1 1) into 1 4.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.706 * [taylor]: Taking taylor expansion of y in x 4.706 * [backup-simplify]: Simplify y into y 4.706 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.706 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.706 * [backup-simplify]: Simplify (+ 1 0) into 1 4.707 * [backup-simplify]: Simplify (sqrt 1) into 1 4.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (+ 0 0) into 0 4.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.708 * [taylor]: Taking taylor expansion of x in x 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [backup-simplify]: Simplify (* 1 1) into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.709 * [taylor]: Taking taylor expansion of y in x 4.709 * [backup-simplify]: Simplify y into y 4.709 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.709 * [backup-simplify]: Simplify (+ 1 0) into 1 4.709 * [backup-simplify]: Simplify (sqrt 1) into 1 4.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.712 * [taylor]: Taking taylor expansion of 1 in y 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [taylor]: Taking taylor expansion of 0 in y 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.714 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.714 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.714 * [taylor]: Taking taylor expansion of 1/2 in y 4.714 * [backup-simplify]: Simplify 1/2 into 1/2 4.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.714 * [taylor]: Taking taylor expansion of y in y 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (* 1 1) into 1 4.715 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.718 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.719 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.719 * [taylor]: Taking taylor expansion of 0 in y 4.719 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.721 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.721 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 4.721 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 4.721 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 4.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.721 * [taylor]: Taking taylor expansion of x in y 4.721 * [backup-simplify]: Simplify x into x 4.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.721 * [taylor]: Taking taylor expansion of y in y 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.722 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.722 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.722 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.722 * [backup-simplify]: Simplify (+ 0 0) into 0 4.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.722 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.722 * [taylor]: Taking taylor expansion of x in x 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.723 * [taylor]: Taking taylor expansion of y in x 4.723 * [backup-simplify]: Simplify y into y 4.723 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.723 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.723 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.723 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.723 * [backup-simplify]: Simplify (+ 0 0) into 0 4.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.723 * [taylor]: Taking taylor expansion of x in x 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.723 * [taylor]: Taking taylor expansion of y in x 4.723 * [backup-simplify]: Simplify y into y 4.723 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.723 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.724 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.724 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.724 * [backup-simplify]: Simplify (+ 0 0) into 0 4.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.724 * [taylor]: Taking taylor expansion of y in y 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [taylor]: Taking taylor expansion of 0 in y 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [backup-simplify]: Simplify (* 1 1) into 1 4.725 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.725 * [backup-simplify]: Simplify (+ 1 0) into 1 4.725 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.725 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.725 * [taylor]: Taking taylor expansion of 1/2 in y 4.725 * [backup-simplify]: Simplify 1/2 into 1/2 4.725 * [taylor]: Taking taylor expansion of y in y 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.727 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.727 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.728 * [taylor]: Taking taylor expansion of 0 in y 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.728 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.728 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.729 * [taylor]: Taking taylor expansion of x in y 4.729 * [backup-simplify]: Simplify x into x 4.729 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.729 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.729 * [taylor]: Taking taylor expansion of y in y 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (* 1 1) into 1 4.729 * [backup-simplify]: Simplify (/ 1 1) into 1 4.729 * [backup-simplify]: Simplify (+ 0 1) into 1 4.730 * [backup-simplify]: Simplify (sqrt 1) into 1 4.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.731 * [taylor]: Taking taylor expansion of x in x 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (* 1 1) into 1 4.732 * [backup-simplify]: Simplify (/ 1 1) into 1 4.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.732 * [taylor]: Taking taylor expansion of y in x 4.732 * [backup-simplify]: Simplify y into y 4.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.732 * [backup-simplify]: Simplify (+ 1 0) into 1 4.732 * [backup-simplify]: Simplify (sqrt 1) into 1 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.733 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.734 * [taylor]: Taking taylor expansion of x in x 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (* 1 1) into 1 4.735 * [backup-simplify]: Simplify (/ 1 1) into 1 4.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.735 * [taylor]: Taking taylor expansion of y in x 4.735 * [backup-simplify]: Simplify y into y 4.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.735 * [backup-simplify]: Simplify (+ 1 0) into 1 4.735 * [backup-simplify]: Simplify (sqrt 1) into 1 4.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.736 * [backup-simplify]: Simplify (+ 0 0) into 0 4.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.737 * [taylor]: Taking taylor expansion of 1 in y 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [taylor]: Taking taylor expansion of 0 in y 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.739 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.740 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.740 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.740 * [taylor]: Taking taylor expansion of 1/2 in y 4.740 * [backup-simplify]: Simplify 1/2 into 1/2 4.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.740 * [taylor]: Taking taylor expansion of y in y 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify (* 1 1) into 1 4.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.744 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.745 * [taylor]: Taking taylor expansion of 0 in y 4.745 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.747 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.747 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.747 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.747 * [taylor]: Taking taylor expansion of x in y 4.747 * [backup-simplify]: Simplify x into x 4.747 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.747 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.747 * [taylor]: Taking taylor expansion of y in y 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (* 1 1) into 1 4.748 * [backup-simplify]: Simplify (/ 1 1) into 1 4.748 * [backup-simplify]: Simplify (+ 0 1) into 1 4.749 * [backup-simplify]: Simplify (sqrt 1) into 1 4.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.750 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.751 * [taylor]: Taking taylor expansion of x in x 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.751 * [backup-simplify]: Simplify (* 1 1) into 1 4.751 * [backup-simplify]: Simplify (/ 1 1) into 1 4.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.752 * [taylor]: Taking taylor expansion of y in x 4.752 * [backup-simplify]: Simplify y into y 4.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.752 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.752 * [backup-simplify]: Simplify (+ 1 0) into 1 4.752 * [backup-simplify]: Simplify (sqrt 1) into 1 4.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.754 * [backup-simplify]: Simplify (+ 0 0) into 0 4.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.755 * [taylor]: Taking taylor expansion of x in x 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.755 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.755 * [taylor]: Taking taylor expansion of y in x 4.755 * [backup-simplify]: Simplify y into y 4.755 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.756 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.756 * [backup-simplify]: Simplify (+ 1 0) into 1 4.756 * [backup-simplify]: Simplify (sqrt 1) into 1 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.757 * [backup-simplify]: Simplify (+ 0 0) into 0 4.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.758 * [taylor]: Taking taylor expansion of 1 in y 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [taylor]: Taking taylor expansion of 0 in y 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.760 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.761 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.761 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.761 * [taylor]: Taking taylor expansion of 1/2 in y 4.761 * [backup-simplify]: Simplify 1/2 into 1/2 4.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.761 * [taylor]: Taking taylor expansion of y in y 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify 1 into 1 4.762 * [backup-simplify]: Simplify (* 1 1) into 1 4.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.766 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.766 * [taylor]: Taking taylor expansion of 0 in y 4.766 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.768 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.768 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) into (pow (+ (pow x 2) (pow y 2)) 1/6) 4.768 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in (x y) around 0 4.768 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 4.768 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 4.768 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 4.768 * [taylor]: Taking taylor expansion of 1/6 in y 4.768 * [backup-simplify]: Simplify 1/6 into 1/6 4.768 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 4.768 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.768 * [taylor]: Taking taylor expansion of x in y 4.768 * [backup-simplify]: Simplify x into x 4.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.769 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.769 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 4.769 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2))) 4.769 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6) 4.769 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 4.769 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 4.769 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 4.769 * [taylor]: Taking taylor expansion of 1/6 in x 4.769 * [backup-simplify]: Simplify 1/6 into 1/6 4.769 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 4.769 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.769 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.769 * [taylor]: Taking taylor expansion of x in x 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.769 * [taylor]: Taking taylor expansion of y in x 4.769 * [backup-simplify]: Simplify y into y 4.769 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.769 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.769 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.769 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2))) 4.770 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6) 4.770 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 4.770 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 4.770 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 4.770 * [taylor]: Taking taylor expansion of 1/6 in x 4.770 * [backup-simplify]: Simplify 1/6 into 1/6 4.770 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 4.770 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.770 * [taylor]: Taking taylor expansion of x in x 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.770 * [taylor]: Taking taylor expansion of y in x 4.770 * [backup-simplify]: Simplify y into y 4.770 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.770 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.770 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.770 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2))) 4.770 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6) 4.770 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y 4.770 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y 4.770 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y 4.770 * [taylor]: Taking taylor expansion of 1/6 in y 4.770 * [backup-simplify]: Simplify 1/6 into 1/6 4.770 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 4.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.770 * [taylor]: Taking taylor expansion of y in y 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (* 1 1) into 1 4.771 * [backup-simplify]: Simplify (log 1) into 0 4.771 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.771 * [backup-simplify]: Simplify (* 1/6 (* 2 (log y))) into (* 1/3 (log y)) 4.771 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 4.771 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3) 4.771 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 4.773 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow y 2)))) into 0 4.773 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.773 * [taylor]: Taking taylor expansion of 0 in y 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.775 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.775 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log y)))) into 0 4.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (* 1 1) into 1 4.776 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.776 * [backup-simplify]: Simplify (+ 1 0) into 1 4.777 * [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)) 4.778 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/6 (/ 1 (pow y 2))) 4.779 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 4.779 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 4.779 * [taylor]: Taking taylor expansion of 1/6 in y 4.779 * [backup-simplify]: Simplify 1/6 into 1/6 4.779 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 4.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 4.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 4.779 * [taylor]: Taking taylor expansion of 1/3 in y 4.779 * [backup-simplify]: Simplify 1/3 into 1/3 4.779 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 4.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 4.779 * [taylor]: Taking taylor expansion of (pow y 5) in y 4.779 * [taylor]: Taking taylor expansion of y in y 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (* 1 1) into 1 4.779 * [backup-simplify]: Simplify (* 1 1) into 1 4.780 * [backup-simplify]: Simplify (* 1 1) into 1 4.780 * [backup-simplify]: Simplify (/ 1 1) into 1 4.780 * [backup-simplify]: Simplify (log 1) into 0 4.780 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y))) 4.780 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log y)))) into (* -5/3 (log y)) 4.780 * [backup-simplify]: Simplify (exp (* -5/3 (log y))) into (pow y -5/3) 4.781 * [backup-simplify]: Simplify (* 1/6 (pow y -5/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 4.781 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.783 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.784 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 4.785 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.786 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.786 * [backup-simplify]: Simplify (+ 0 0) into 0 4.789 * [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 4.790 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 4.792 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.792 * [taylor]: Taking taylor expansion of 0 in y 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.795 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y))) 4.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log y))))) into 0 4.796 * [backup-simplify]: Simplify (* (exp (* -5/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.796 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow y -5/3))) into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.804 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.805 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 4.807 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) (pow (* 1 x) 2)) (pow y 1/3)) into (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) 4.808 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4.808 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 4.808 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 4.808 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 4.808 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 4.808 * [taylor]: Taking taylor expansion of 1/6 in y 4.808 * [backup-simplify]: Simplify 1/6 into 1/6 4.808 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.808 * [taylor]: Taking taylor expansion of x in y 4.808 * [backup-simplify]: Simplify x into x 4.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.808 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.808 * [taylor]: Taking taylor expansion of y in y 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (* 1 1) into 1 4.809 * [backup-simplify]: Simplify (/ 1 1) into 1 4.809 * [backup-simplify]: Simplify (+ 0 1) into 1 4.810 * [backup-simplify]: Simplify (log 1) into 0 4.810 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.810 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 4.810 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 4.810 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 4.811 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 4.811 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.811 * [taylor]: Taking taylor expansion of 1/6 in x 4.811 * [backup-simplify]: Simplify 1/6 into 1/6 4.811 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.811 * [taylor]: Taking taylor expansion of x in x 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (* 1 1) into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.812 * [taylor]: Taking taylor expansion of y in x 4.812 * [backup-simplify]: Simplify y into y 4.812 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.812 * [backup-simplify]: Simplify (+ 1 0) into 1 4.813 * [backup-simplify]: Simplify (log 1) into 0 4.813 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.813 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 4.813 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 4.813 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 4.813 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 4.813 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.813 * [taylor]: Taking taylor expansion of 1/6 in x 4.813 * [backup-simplify]: Simplify 1/6 into 1/6 4.813 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.813 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (* 1 1) into 1 4.814 * [backup-simplify]: Simplify (/ 1 1) into 1 4.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.814 * [taylor]: Taking taylor expansion of y in x 4.814 * [backup-simplify]: Simplify y into y 4.814 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.814 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.814 * [backup-simplify]: Simplify (+ 1 0) into 1 4.815 * [backup-simplify]: Simplify (log 1) into 0 4.815 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.815 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 4.815 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 4.815 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 4.815 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 4.815 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 4.815 * [taylor]: Taking taylor expansion of -1/3 in y 4.815 * [backup-simplify]: Simplify -1/3 into -1/3 4.815 * [taylor]: Taking taylor expansion of (log x) in y 4.815 * [taylor]: Taking taylor expansion of x in y 4.815 * [backup-simplify]: Simplify x into x 4.815 * [backup-simplify]: Simplify (log x) into (log x) 4.815 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x)) 4.815 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 4.815 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 4.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (+ 0 0) into 0 4.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.818 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.818 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0 4.819 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.819 * [taylor]: Taking taylor expansion of 0 in y 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.820 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0 4.821 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.824 * [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)) 4.825 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.825 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2))) 4.826 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) 4.826 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 4.826 * [taylor]: Taking taylor expansion of 1/6 in y 4.826 * [backup-simplify]: Simplify 1/6 into 1/6 4.826 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 4.826 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 4.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 4.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 4.826 * [taylor]: Taking taylor expansion of 1/3 in y 4.826 * [backup-simplify]: Simplify 1/3 into 1/3 4.826 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 4.826 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.826 * [taylor]: Taking taylor expansion of x in y 4.826 * [backup-simplify]: Simplify x into x 4.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.827 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x)) 4.827 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x))) 4.827 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3) 4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.827 * [taylor]: Taking taylor expansion of y in y 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (* 1 1) into 1 4.827 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0 4.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0 4.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0 4.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0 4.835 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.835 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.836 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0 4.836 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3) 4.836 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.838 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.839 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.840 * [backup-simplify]: Simplify (+ 0 0) into 0 4.843 * [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 4.843 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.844 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.846 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.846 * [taylor]: Taking taylor expansion of 0 in y 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (pow (/ 1 x) -1/3) into (pow (/ 1 x) -1/3) 4.846 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4.846 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in (x y) around 0 4.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 4.846 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 4.846 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 4.846 * [taylor]: Taking taylor expansion of 1/6 in y 4.846 * [backup-simplify]: Simplify 1/6 into 1/6 4.846 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.846 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.847 * [taylor]: Taking taylor expansion of x in y 4.847 * [backup-simplify]: Simplify x into x 4.847 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.847 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.847 * [taylor]: Taking taylor expansion of y in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (* 1 1) into 1 4.847 * [backup-simplify]: Simplify (/ 1 1) into 1 4.847 * [backup-simplify]: Simplify (+ 0 1) into 1 4.848 * [backup-simplify]: Simplify (log 1) into 0 4.848 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.848 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 4.848 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 4.848 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 4.848 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 4.848 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.848 * [taylor]: Taking taylor expansion of 1/6 in x 4.848 * [backup-simplify]: Simplify 1/6 into 1/6 4.848 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.848 * [taylor]: Taking taylor expansion of x in x 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (* 1 1) into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.849 * [taylor]: Taking taylor expansion of y in x 4.849 * [backup-simplify]: Simplify y into y 4.849 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.849 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.849 * [backup-simplify]: Simplify (+ 1 0) into 1 4.850 * [backup-simplify]: Simplify (log 1) into 0 4.850 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.850 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 4.850 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 4.850 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 4.850 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 4.850 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.850 * [taylor]: Taking taylor expansion of 1/6 in x 4.850 * [backup-simplify]: Simplify 1/6 into 1/6 4.850 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.850 * [taylor]: Taking taylor expansion of x in x 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [backup-simplify]: Simplify (* 1 1) into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.851 * [taylor]: Taking taylor expansion of y in x 4.851 * [backup-simplify]: Simplify y into y 4.851 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.851 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.851 * [backup-simplify]: Simplify (+ 1 0) into 1 4.851 * [backup-simplify]: Simplify (log 1) into 0 4.852 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.852 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 4.852 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 4.852 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 4.852 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 4.852 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 4.852 * [taylor]: Taking taylor expansion of -1/3 in y 4.852 * [backup-simplify]: Simplify -1/3 into -1/3 4.852 * [taylor]: Taking taylor expansion of (log x) in y 4.852 * [taylor]: Taking taylor expansion of x in y 4.852 * [backup-simplify]: Simplify x into x 4.852 * [backup-simplify]: Simplify (log x) into (log x) 4.852 * [backup-simplify]: Simplify (* -1/3 (log x)) into (* -1/3 (log x)) 4.852 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 4.852 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 4.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.853 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.854 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.855 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log x))))) into 0 4.855 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.855 * [taylor]: Taking taylor expansion of 0 in y 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.856 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log x))) into 0 4.857 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.859 * [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)) 4.860 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.860 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/6 (/ 1 (pow y 2))) 4.862 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) 4.862 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 4.862 * [taylor]: Taking taylor expansion of 1/6 in y 4.862 * [backup-simplify]: Simplify 1/6 into 1/6 4.862 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 4.862 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 4.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 4.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 4.862 * [taylor]: Taking taylor expansion of 1/3 in y 4.862 * [backup-simplify]: Simplify 1/3 into 1/3 4.862 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 4.862 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.862 * [taylor]: Taking taylor expansion of x in y 4.862 * [backup-simplify]: Simplify x into x 4.862 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.862 * [backup-simplify]: Simplify (log (/ 1 x)) into (log (/ 1 x)) 4.862 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 x))) into (* 1/3 (log (/ 1 x))) 4.862 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 x)))) into (pow (/ 1 x) 1/3) 4.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.862 * [taylor]: Taking taylor expansion of y in y 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (* 1 1) into 1 4.863 * [backup-simplify]: Simplify (/ 1 1) into 1 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) into 0 4.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 x)))) into 0 4.867 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 x) 1)))) 2) into 0 4.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 x))))) into 0 4.871 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.872 * [backup-simplify]: Simplify (+ (* (pow (/ 1 x) 1/3) 0) (* 0 1)) into 0 4.872 * [backup-simplify]: Simplify (* (pow (/ 1 x) 1/3) 1) into (pow (/ 1 x) 1/3) 4.873 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 x) 1/3)))) into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.875 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.876 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.882 * [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 4.882 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.883 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.885 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.885 * [taylor]: Taking taylor expansion of 0 in y 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/3) into (pow (/ -1 x) -1/3) 4.885 * * * [progress]: simplifying candidates 4.887 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp 1/3) (exp 1) (exp (* (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (exp (sqrt (log (cbrt (sqrt (+ (* x x) (* y y))))))) (exp 1) (exp (log (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))) (exp (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))) (exp (log (cbrt (sqrt (cbrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt 1)))) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt 1))) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))))) (exp (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log 1)) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (cbrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))) (exp (log (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))) (exp (log (cbrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))) (exp (log (cbrt (sqrt (- (* x x) (* y y)))))) (log (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) (cbrt (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (cbrt (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (* (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) (sqrt (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) (sqrt (exp (log (cbrt (sqrt (+ (* x x) (* y y))))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 4.889 * * [simplify]: Extracting # 0 : cost 0 4.889 * * [simplify]: Extracting # 1 : cost 0 4.889 * * [simplify]: Extracting # 2 : cost 0 4.890 * * [simplify]: Extracting # 3 : cost 0 4.890 * * [simplify]: Extracting # 4 : cost 0 4.890 * * [simplify]: Extracting # 5 : cost 0 4.890 * * [simplify]: Extracting # 6 : cost 0 4.890 * * [simplify]: Extracting # 7 : cost 0 4.891 * * [simplify]: Extracting # 8 : cost 0 4.891 * * [simplify]: Extracting # 9 : cost 0 4.891 * * [simplify]: Extracting # 10 : cost 0 4.891 * * [simplify]: iteration 0 : 111 enodes (cost 1119 ) 4.924 * * [simplify]: Extracting # 0 : cost 0 4.924 * * [simplify]: Extracting # 1 : cost 0 4.925 * * [simplify]: Extracting # 2 : cost 0 4.925 * * [simplify]: Extracting # 3 : cost 0 4.925 * * [simplify]: Extracting # 4 : cost 0 4.926 * * [simplify]: Extracting # 5 : cost 0 4.926 * * [simplify]: iteration 1 : 196 enodes (cost 954 ) 4.990 * * [simplify]: Extracting # 0 : cost 0 4.991 * * [simplify]: Extracting # 1 : cost 0 4.992 * * [simplify]: Extracting # 2 : cost 0 4.992 * * [simplify]: Extracting # 3 : cost 0 4.992 * * [simplify]: Extracting # 4 : cost 0 4.993 * * [simplify]: Extracting # 5 : cost 0 4.994 * * [simplify]: iteration 2 : 379 enodes (cost 824 ) 5.126 * * [simplify]: Extracting # 0 : cost 0 5.127 * * [simplify]: Extracting # 1 : cost 0 5.127 * * [simplify]: Extracting # 2 : cost 0 5.128 * * [simplify]: Extracting # 3 : cost 0 5.129 * * [simplify]: Extracting # 4 : cost 0 5.130 * * [simplify]: iteration 3 : 756 enodes (cost 813 ) 5.485 * * [simplify]: Extracting # 0 : cost 0 5.488 * * [simplify]: Extracting # 1 : cost 0 5.491 * * [simplify]: Extracting # 2 : cost 0 5.493 * * [simplify]: Extracting # 3 : cost 0 5.501 * * [simplify]: Extracting # 4 : cost 0 5.504 * * [simplify]: iteration 4 : 1966 enodes (cost 801 ) 6.481 * * [simplify]: Extracting # 0 : cost 0 6.487 * * [simplify]: Extracting # 1 : cost 0 6.493 * * [simplify]: Extracting # 2 : cost 0 6.499 * * [simplify]: Extracting # 3 : cost 0 6.508 * * [simplify]: Extracting # 4 : cost 0 6.515 * * [simplify]: iteration done: 5000 enodes (cost 801 ) 6.515 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp 1/3) E (exp (* (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (exp (sqrt (log (cbrt (sqrt (+ (* x x) (* y y))))))) E (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2)) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (fabs (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (pow (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) 2) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 1 (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (pow y 6) (pow x 6)))) (cbrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (sqrt (- (pow x 4) (pow y 4)))) (cbrt (sqrt (- (* x x) (* y y)))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (exp (cbrt (sqrt (+ (* x x) (* y y))))) (pow (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) 2) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) y x (- x) y x (- x) y x (- x) (+ (cbrt y) (* (* 1/6 (* x x)) (cbrt (/ 1 (pow y 5))))) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 6.516 * * * [progress]: adding candidates to table 6.856 * * [progress]: iteration 4 / 4 6.856 * * * [progress]: picking best candidate 6.866 * * * * [pick]: Picked # 6.866 * * * [progress]: localizing error 6.910 * * * [progress]: generating rewritten candidates 6.910 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 6.923 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 6.936 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 6.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 6.964 * * * [progress]: generating series expansions 6.964 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 6.964 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 6.964 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 6.964 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 6.964 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.965 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.965 * [taylor]: Taking taylor expansion of x in y 6.965 * [backup-simplify]: Simplify x into x 6.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.965 * [taylor]: Taking taylor expansion of y in y 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 1 into 1 6.965 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.965 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.965 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.965 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.966 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.966 * [taylor]: Taking taylor expansion of x in x 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 1 into 1 6.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.966 * [taylor]: Taking taylor expansion of y in x 6.966 * [backup-simplify]: Simplify y into y 6.966 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.966 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.966 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.967 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.967 * [backup-simplify]: Simplify (+ 0 0) into 0 6.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.967 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.967 * [taylor]: Taking taylor expansion of x in x 6.967 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify 1 into 1 6.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.967 * [taylor]: Taking taylor expansion of y in x 6.967 * [backup-simplify]: Simplify y into y 6.967 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.968 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.968 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.968 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.968 * [backup-simplify]: Simplify (+ 0 0) into 0 6.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.968 * [taylor]: Taking taylor expansion of y in y 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [taylor]: Taking taylor expansion of 0 in y 6.968 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.969 * [backup-simplify]: Simplify (* 1 1) into 1 6.969 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.970 * [backup-simplify]: Simplify (+ 1 0) into 1 6.970 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 6.970 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.970 * [taylor]: Taking taylor expansion of 1/2 in y 6.970 * [backup-simplify]: Simplify 1/2 into 1/2 6.970 * [taylor]: Taking taylor expansion of y in y 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.973 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.973 * [backup-simplify]: Simplify (+ 0 0) into 0 6.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 6.973 * [taylor]: Taking taylor expansion of 0 in y 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 6.975 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 6.975 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.975 * [taylor]: Taking taylor expansion of x in y 6.975 * [backup-simplify]: Simplify x into x 6.975 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.975 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.975 * [taylor]: Taking taylor expansion of y in y 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (* 1 1) into 1 6.976 * [backup-simplify]: Simplify (/ 1 1) into 1 6.976 * [backup-simplify]: Simplify (+ 0 1) into 1 6.976 * [backup-simplify]: Simplify (sqrt 1) into 1 6.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.977 * [backup-simplify]: Simplify (+ 0 0) into 0 6.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.978 * [taylor]: Taking taylor expansion of x in x 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (* 1 1) into 1 6.978 * [backup-simplify]: Simplify (/ 1 1) into 1 6.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.978 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.978 * [taylor]: Taking taylor expansion of y in x 6.978 * [backup-simplify]: Simplify y into y 6.978 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.979 * [backup-simplify]: Simplify (+ 1 0) into 1 6.979 * [backup-simplify]: Simplify (sqrt 1) into 1 6.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (+ 0 0) into 0 6.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.981 * [taylor]: Taking taylor expansion of x in x 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 1 into 1 6.981 * [backup-simplify]: Simplify (* 1 1) into 1 6.981 * [backup-simplify]: Simplify (/ 1 1) into 1 6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.981 * [taylor]: Taking taylor expansion of y in x 6.981 * [backup-simplify]: Simplify y into y 6.981 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.981 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.982 * [backup-simplify]: Simplify (+ 1 0) into 1 6.982 * [backup-simplify]: Simplify (sqrt 1) into 1 6.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (+ 0 0) into 0 6.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.984 * [taylor]: Taking taylor expansion of 1 in y 6.984 * [backup-simplify]: Simplify 1 into 1 6.984 * [taylor]: Taking taylor expansion of 0 in y 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.987 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 6.987 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.987 * [taylor]: Taking taylor expansion of 1/2 in y 6.987 * [backup-simplify]: Simplify 1/2 into 1/2 6.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.987 * [taylor]: Taking taylor expansion of y in y 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 1 into 1 6.987 * [backup-simplify]: Simplify (* 1 1) into 1 6.988 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.990 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.991 * [backup-simplify]: Simplify (+ 0 0) into 0 6.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 6.992 * [taylor]: Taking taylor expansion of 0 in y 6.992 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.001 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.001 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.001 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.001 * [taylor]: Taking taylor expansion of x in y 7.001 * [backup-simplify]: Simplify x into x 7.001 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.001 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.001 * [taylor]: Taking taylor expansion of y in y 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (* 1 1) into 1 7.002 * [backup-simplify]: Simplify (/ 1 1) into 1 7.002 * [backup-simplify]: Simplify (+ 0 1) into 1 7.002 * [backup-simplify]: Simplify (sqrt 1) into 1 7.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify (+ 0 0) into 0 7.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.005 * [taylor]: Taking taylor expansion of x in x 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (* 1 1) into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.005 * [taylor]: Taking taylor expansion of y in x 7.005 * [backup-simplify]: Simplify y into y 7.005 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.006 * [backup-simplify]: Simplify (+ 1 0) into 1 7.006 * [backup-simplify]: Simplify (sqrt 1) into 1 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.008 * [backup-simplify]: Simplify (+ 0 0) into 0 7.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.008 * [taylor]: Taking taylor expansion of x in x 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.009 * [backup-simplify]: Simplify (* 1 1) into 1 7.009 * [backup-simplify]: Simplify (/ 1 1) into 1 7.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.009 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.009 * [taylor]: Taking taylor expansion of y in x 7.009 * [backup-simplify]: Simplify y into y 7.009 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.009 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.010 * [backup-simplify]: Simplify (+ 1 0) into 1 7.010 * [backup-simplify]: Simplify (sqrt 1) into 1 7.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (+ 0 0) into 0 7.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.012 * [taylor]: Taking taylor expansion of 1 in y 7.012 * [backup-simplify]: Simplify 1 into 1 7.012 * [taylor]: Taking taylor expansion of 0 in y 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 1 into 1 7.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 7.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.015 * [taylor]: Taking taylor expansion of 1/2 in y 7.015 * [backup-simplify]: Simplify 1/2 into 1/2 7.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.015 * [taylor]: Taking taylor expansion of y in y 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (* 1 1) into 1 7.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.019 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.019 * [backup-simplify]: Simplify (+ 0 0) into 0 7.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 7.020 * [taylor]: Taking taylor expansion of 0 in y 7.020 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 7.022 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 7.022 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 7.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 7.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.022 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.022 * [taylor]: Taking taylor expansion of x in y 7.022 * [backup-simplify]: Simplify x into x 7.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.022 * [taylor]: Taking taylor expansion of y in y 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.023 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.023 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.023 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.023 * [backup-simplify]: Simplify (+ 0 0) into 0 7.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.023 * [taylor]: Taking taylor expansion of x in x 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.023 * [taylor]: Taking taylor expansion of y in x 7.023 * [backup-simplify]: Simplify y into y 7.024 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.024 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.024 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 7.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.024 * [backup-simplify]: Simplify (+ 0 0) into 0 7.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 7.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.024 * [taylor]: Taking taylor expansion of x in x 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.025 * [taylor]: Taking taylor expansion of y in x 7.025 * [backup-simplify]: Simplify y into y 7.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.025 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.025 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 7.025 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.025 * [backup-simplify]: Simplify (+ 0 0) into 0 7.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 7.025 * [taylor]: Taking taylor expansion of y in y 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [taylor]: Taking taylor expansion of 0 in y 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [backup-simplify]: Simplify (* 1 1) into 1 7.026 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.027 * [backup-simplify]: Simplify (+ 1 0) into 1 7.027 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 7.027 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.027 * [taylor]: Taking taylor expansion of 1/2 in y 7.027 * [backup-simplify]: Simplify 1/2 into 1/2 7.027 * [taylor]: Taking taylor expansion of y in y 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.030 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.030 * [backup-simplify]: Simplify (+ 0 0) into 0 7.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 7.030 * [taylor]: Taking taylor expansion of 0 in y 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 7.032 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.032 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.032 * [taylor]: Taking taylor expansion of x in y 7.032 * [backup-simplify]: Simplify x into x 7.032 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.032 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.032 * [taylor]: Taking taylor expansion of y in y 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 1 into 1 7.032 * [backup-simplify]: Simplify (* 1 1) into 1 7.033 * [backup-simplify]: Simplify (/ 1 1) into 1 7.033 * [backup-simplify]: Simplify (+ 0 1) into 1 7.034 * [backup-simplify]: Simplify (sqrt 1) into 1 7.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.036 * [taylor]: Taking taylor expansion of x in x 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 1 into 1 7.036 * [backup-simplify]: Simplify (* 1 1) into 1 7.037 * [backup-simplify]: Simplify (/ 1 1) into 1 7.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.037 * [taylor]: Taking taylor expansion of y in x 7.037 * [backup-simplify]: Simplify y into y 7.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.037 * [backup-simplify]: Simplify (+ 1 0) into 1 7.038 * [backup-simplify]: Simplify (sqrt 1) into 1 7.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.039 * [backup-simplify]: Simplify (+ 0 0) into 0 7.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.040 * [taylor]: Taking taylor expansion of x in x 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (/ 1 1) into 1 7.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.040 * [taylor]: Taking taylor expansion of y in x 7.040 * [backup-simplify]: Simplify y into y 7.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.041 * [backup-simplify]: Simplify (+ 1 0) into 1 7.041 * [backup-simplify]: Simplify (sqrt 1) into 1 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (+ 0 0) into 0 7.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.043 * [taylor]: Taking taylor expansion of 1 in y 7.043 * [backup-simplify]: Simplify 1 into 1 7.044 * [taylor]: Taking taylor expansion of 0 in y 7.044 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.045 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.046 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 7.046 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.046 * [taylor]: Taking taylor expansion of 1/2 in y 7.046 * [backup-simplify]: Simplify 1/2 into 1/2 7.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.046 * [taylor]: Taking taylor expansion of y in y 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.047 * [backup-simplify]: Simplify (* 1 1) into 1 7.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 7.051 * [taylor]: Taking taylor expansion of 0 in y 7.051 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.053 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.053 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.054 * [taylor]: Taking taylor expansion of x in y 7.054 * [backup-simplify]: Simplify x into x 7.054 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.054 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.054 * [taylor]: Taking taylor expansion of y in y 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify 1 into 1 7.054 * [backup-simplify]: Simplify (* 1 1) into 1 7.055 * [backup-simplify]: Simplify (/ 1 1) into 1 7.055 * [backup-simplify]: Simplify (+ 0 1) into 1 7.055 * [backup-simplify]: Simplify (sqrt 1) into 1 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (+ 0 0) into 0 7.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.058 * [taylor]: Taking taylor expansion of x in x 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.058 * [backup-simplify]: Simplify (/ 1 1) into 1 7.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.058 * [taylor]: Taking taylor expansion of y in x 7.058 * [backup-simplify]: Simplify y into y 7.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.059 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.059 * [backup-simplify]: Simplify (+ 1 0) into 1 7.059 * [backup-simplify]: Simplify (sqrt 1) into 1 7.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.061 * [backup-simplify]: Simplify (+ 0 0) into 0 7.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.061 * [taylor]: Taking taylor expansion of x in x 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 1 into 1 7.062 * [backup-simplify]: Simplify (* 1 1) into 1 7.062 * [backup-simplify]: Simplify (/ 1 1) into 1 7.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.062 * [taylor]: Taking taylor expansion of y in x 7.062 * [backup-simplify]: Simplify y into y 7.062 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.063 * [backup-simplify]: Simplify (+ 1 0) into 1 7.063 * [backup-simplify]: Simplify (sqrt 1) into 1 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (+ 0 0) into 0 7.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.065 * [taylor]: Taking taylor expansion of 1 in y 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [taylor]: Taking taylor expansion of 0 in y 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.068 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 7.068 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.068 * [taylor]: Taking taylor expansion of 1/2 in y 7.068 * [backup-simplify]: Simplify 1/2 into 1/2 7.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.068 * [taylor]: Taking taylor expansion of y in y 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [backup-simplify]: Simplify (* 1 1) into 1 7.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 7.073 * [taylor]: Taking taylor expansion of 0 in y 7.073 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.075 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 7.075 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 7.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 7.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 7.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.075 * [taylor]: Taking taylor expansion of x in y 7.075 * [backup-simplify]: Simplify x into x 7.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.075 * [taylor]: Taking taylor expansion of y in y 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 1 into 1 7.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.076 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.076 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.076 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.076 * [taylor]: Taking taylor expansion of x in x 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.076 * [taylor]: Taking taylor expansion of y in x 7.076 * [backup-simplify]: Simplify y into y 7.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.077 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.077 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 7.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.077 * [backup-simplify]: Simplify (+ 0 0) into 0 7.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 7.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.077 * [taylor]: Taking taylor expansion of x in x 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.078 * [taylor]: Taking taylor expansion of y in x 7.078 * [backup-simplify]: Simplify y into y 7.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.078 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.078 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 7.078 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.078 * [backup-simplify]: Simplify (+ 0 0) into 0 7.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 7.078 * [taylor]: Taking taylor expansion of y in y 7.078 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [taylor]: Taking taylor expansion of 0 in y 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.079 * [backup-simplify]: Simplify (* 1 1) into 1 7.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.080 * [backup-simplify]: Simplify (+ 1 0) into 1 7.080 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 7.080 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.081 * [taylor]: Taking taylor expansion of 1/2 in y 7.081 * [backup-simplify]: Simplify 1/2 into 1/2 7.081 * [taylor]: Taking taylor expansion of y in y 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 1 into 1 7.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.083 * [backup-simplify]: Simplify (+ 0 0) into 0 7.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 7.083 * [taylor]: Taking taylor expansion of 0 in y 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 7.084 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.084 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.084 * [taylor]: Taking taylor expansion of x in y 7.084 * [backup-simplify]: Simplify x into x 7.084 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.085 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.085 * [taylor]: Taking taylor expansion of y in y 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (* 1 1) into 1 7.085 * [backup-simplify]: Simplify (/ 1 1) into 1 7.086 * [backup-simplify]: Simplify (+ 0 1) into 1 7.086 * [backup-simplify]: Simplify (sqrt 1) into 1 7.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (+ 0 0) into 0 7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.088 * [taylor]: Taking taylor expansion of x in x 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (* 1 1) into 1 7.089 * [backup-simplify]: Simplify (/ 1 1) into 1 7.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.089 * [taylor]: Taking taylor expansion of y in x 7.089 * [backup-simplify]: Simplify y into y 7.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.090 * [backup-simplify]: Simplify (+ 1 0) into 1 7.090 * [backup-simplify]: Simplify (sqrt 1) into 1 7.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.091 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.092 * [taylor]: Taking taylor expansion of x in x 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 1 into 1 7.092 * [backup-simplify]: Simplify (* 1 1) into 1 7.093 * [backup-simplify]: Simplify (/ 1 1) into 1 7.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.093 * [taylor]: Taking taylor expansion of y in x 7.093 * [backup-simplify]: Simplify y into y 7.093 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.093 * [backup-simplify]: Simplify (+ 1 0) into 1 7.094 * [backup-simplify]: Simplify (sqrt 1) into 1 7.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.095 * [backup-simplify]: Simplify (+ 0 0) into 0 7.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.096 * [taylor]: Taking taylor expansion of 1 in y 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [taylor]: Taking taylor expansion of 0 in y 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 1 into 1 7.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.098 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.099 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 7.099 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.099 * [taylor]: Taking taylor expansion of 1/2 in y 7.099 * [backup-simplify]: Simplify 1/2 into 1/2 7.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.099 * [taylor]: Taking taylor expansion of y in y 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify (* 1 1) into 1 7.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.103 * [backup-simplify]: Simplify (+ 0 0) into 0 7.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 7.104 * [taylor]: Taking taylor expansion of 0 in y 7.104 * [backup-simplify]: Simplify 0 into 0 7.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.106 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.106 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.106 * [taylor]: Taking taylor expansion of x in y 7.106 * [backup-simplify]: Simplify x into x 7.106 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.107 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.107 * [taylor]: Taking taylor expansion of y in y 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 1 into 1 7.107 * [backup-simplify]: Simplify (* 1 1) into 1 7.107 * [backup-simplify]: Simplify (/ 1 1) into 1 7.108 * [backup-simplify]: Simplify (+ 0 1) into 1 7.108 * [backup-simplify]: Simplify (sqrt 1) into 1 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (+ 0 0) into 0 7.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.110 * [taylor]: Taking taylor expansion of x in x 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.110 * [backup-simplify]: Simplify (* 1 1) into 1 7.111 * [backup-simplify]: Simplify (/ 1 1) into 1 7.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.111 * [taylor]: Taking taylor expansion of y in x 7.111 * [backup-simplify]: Simplify y into y 7.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.111 * [backup-simplify]: Simplify (+ 1 0) into 1 7.112 * [backup-simplify]: Simplify (sqrt 1) into 1 7.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (+ 0 0) into 0 7.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.114 * [taylor]: Taking taylor expansion of x in x 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [backup-simplify]: Simplify (* 1 1) into 1 7.115 * [backup-simplify]: Simplify (/ 1 1) into 1 7.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.115 * [taylor]: Taking taylor expansion of y in x 7.115 * [backup-simplify]: Simplify y into y 7.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.115 * [backup-simplify]: Simplify (+ 1 0) into 1 7.116 * [backup-simplify]: Simplify (sqrt 1) into 1 7.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (+ 0 0) into 0 7.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.118 * [taylor]: Taking taylor expansion of 1 in y 7.118 * [backup-simplify]: Simplify 1 into 1 7.118 * [taylor]: Taking taylor expansion of 0 in y 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 1 into 1 7.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.119 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.120 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 7.120 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.120 * [taylor]: Taking taylor expansion of 1/2 in y 7.121 * [backup-simplify]: Simplify 1/2 into 1/2 7.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.121 * [taylor]: Taking taylor expansion of y in y 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (* 1 1) into 1 7.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.132 * [backup-simplify]: Simplify (+ 0 0) into 0 7.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 7.132 * [taylor]: Taking taylor expansion of 0 in y 7.132 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.134 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 7.134 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 7.134 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 7.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 7.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.134 * [taylor]: Taking taylor expansion of x in y 7.134 * [backup-simplify]: Simplify x into x 7.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.135 * [taylor]: Taking taylor expansion of y in y 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 1 into 1 7.135 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.135 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.135 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.135 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.135 * [backup-simplify]: Simplify (+ 0 0) into 0 7.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.136 * [taylor]: Taking taylor expansion of x in x 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.136 * [taylor]: Taking taylor expansion of y in x 7.136 * [backup-simplify]: Simplify y into y 7.136 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.136 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.136 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 7.136 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.136 * [backup-simplify]: Simplify (+ 0 0) into 0 7.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 7.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.137 * [taylor]: Taking taylor expansion of x in x 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.137 * [taylor]: Taking taylor expansion of y in x 7.137 * [backup-simplify]: Simplify y into y 7.137 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.137 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 7.137 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 7.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.138 * [backup-simplify]: Simplify (+ 0 0) into 0 7.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 7.138 * [taylor]: Taking taylor expansion of y in y 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [taylor]: Taking taylor expansion of 0 in y 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify (* 1 1) into 1 7.139 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.139 * [backup-simplify]: Simplify (+ 1 0) into 1 7.140 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 7.140 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.140 * [taylor]: Taking taylor expansion of 1/2 in y 7.140 * [backup-simplify]: Simplify 1/2 into 1/2 7.140 * [taylor]: Taking taylor expansion of y in y 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.143 * [backup-simplify]: Simplify (+ 0 0) into 0 7.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 7.143 * [taylor]: Taking taylor expansion of 0 in y 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 7.144 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.144 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.144 * [taylor]: Taking taylor expansion of x in y 7.144 * [backup-simplify]: Simplify x into x 7.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.145 * [taylor]: Taking taylor expansion of y in y 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 1 into 1 7.145 * [backup-simplify]: Simplify (* 1 1) into 1 7.145 * [backup-simplify]: Simplify (/ 1 1) into 1 7.146 * [backup-simplify]: Simplify (+ 0 1) into 1 7.146 * [backup-simplify]: Simplify (sqrt 1) into 1 7.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.148 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.148 * [taylor]: Taking taylor expansion of x in x 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 1 into 1 7.149 * [backup-simplify]: Simplify (* 1 1) into 1 7.149 * [backup-simplify]: Simplify (/ 1 1) into 1 7.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.149 * [taylor]: Taking taylor expansion of y in x 7.149 * [backup-simplify]: Simplify y into y 7.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.150 * [backup-simplify]: Simplify (+ 1 0) into 1 7.150 * [backup-simplify]: Simplify (sqrt 1) into 1 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.152 * [backup-simplify]: Simplify (+ 0 0) into 0 7.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.152 * [taylor]: Taking taylor expansion of x in x 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.153 * [backup-simplify]: Simplify (* 1 1) into 1 7.153 * [backup-simplify]: Simplify (/ 1 1) into 1 7.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.153 * [taylor]: Taking taylor expansion of y in x 7.153 * [backup-simplify]: Simplify y into y 7.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.154 * [backup-simplify]: Simplify (+ 1 0) into 1 7.154 * [backup-simplify]: Simplify (sqrt 1) into 1 7.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.156 * [backup-simplify]: Simplify (+ 0 0) into 0 7.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.156 * [taylor]: Taking taylor expansion of 1 in y 7.156 * [backup-simplify]: Simplify 1 into 1 7.156 * [taylor]: Taking taylor expansion of 0 in y 7.156 * [backup-simplify]: Simplify 0 into 0 7.156 * [backup-simplify]: Simplify 1 into 1 7.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 7.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.159 * [taylor]: Taking taylor expansion of 1/2 in y 7.159 * [backup-simplify]: Simplify 1/2 into 1/2 7.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.159 * [taylor]: Taking taylor expansion of y in y 7.159 * [backup-simplify]: Simplify 0 into 0 7.159 * [backup-simplify]: Simplify 1 into 1 7.160 * [backup-simplify]: Simplify (* 1 1) into 1 7.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.164 * [backup-simplify]: Simplify (+ 0 0) into 0 7.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 7.164 * [taylor]: Taking taylor expansion of 0 in y 7.164 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.167 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 7.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.167 * [taylor]: Taking taylor expansion of x in y 7.167 * [backup-simplify]: Simplify x into x 7.167 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.167 * [taylor]: Taking taylor expansion of y in y 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (* 1 1) into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [backup-simplify]: Simplify (+ 0 1) into 1 7.168 * [backup-simplify]: Simplify (sqrt 1) into 1 7.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (+ 0 0) into 0 7.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.170 * [taylor]: Taking taylor expansion of x in x 7.170 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [backup-simplify]: Simplify (* 1 1) into 1 7.171 * [backup-simplify]: Simplify (/ 1 1) into 1 7.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.171 * [taylor]: Taking taylor expansion of y in x 7.171 * [backup-simplify]: Simplify y into y 7.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.172 * [backup-simplify]: Simplify (+ 1 0) into 1 7.172 * [backup-simplify]: Simplify (sqrt 1) into 1 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.174 * [backup-simplify]: Simplify (+ 0 0) into 0 7.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.174 * [taylor]: Taking taylor expansion of x in x 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (* 1 1) into 1 7.175 * [backup-simplify]: Simplify (/ 1 1) into 1 7.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.175 * [taylor]: Taking taylor expansion of y in x 7.175 * [backup-simplify]: Simplify y into y 7.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.175 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.176 * [backup-simplify]: Simplify (+ 1 0) into 1 7.176 * [backup-simplify]: Simplify (sqrt 1) into 1 7.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.178 * [backup-simplify]: Simplify (+ 0 0) into 0 7.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.178 * [taylor]: Taking taylor expansion of 1 in y 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [taylor]: Taking taylor expansion of 0 in y 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 7.181 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 7.181 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.181 * [taylor]: Taking taylor expansion of 1/2 in y 7.181 * [backup-simplify]: Simplify 1/2 into 1/2 7.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.181 * [taylor]: Taking taylor expansion of y in y 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.182 * [backup-simplify]: Simplify (* 1 1) into 1 7.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.186 * [backup-simplify]: Simplify (+ 0 0) into 0 7.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 7.186 * [taylor]: Taking taylor expansion of 0 in y 7.186 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.188 * * * [progress]: simplifying candidates 7.189 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 7.191 * * [simplify]: Extracting # 0 : cost 0 7.191 * * [simplify]: Extracting # 1 : cost 0 7.191 * * [simplify]: Extracting # 2 : cost 0 7.191 * * [simplify]: Extracting # 3 : cost 0 7.191 * * [simplify]: Extracting # 4 : cost 0 7.191 * * [simplify]: Extracting # 5 : cost 0 7.191 * * [simplify]: Extracting # 6 : cost 0 7.192 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 7.205 * * [simplify]: Extracting # 0 : cost 0 7.205 * * [simplify]: Extracting # 1 : cost 0 7.205 * * [simplify]: Extracting # 2 : cost 0 7.206 * * [simplify]: Extracting # 3 : cost 0 7.206 * * [simplify]: Extracting # 4 : cost 0 7.206 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 7.238 * * [simplify]: Extracting # 0 : cost 0 7.238 * * [simplify]: Extracting # 1 : cost 0 7.238 * * [simplify]: Extracting # 2 : cost 0 7.239 * * [simplify]: Extracting # 3 : cost 0 7.239 * * [simplify]: Extracting # 4 : cost 0 7.240 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 7.332 * * [simplify]: Extracting # 0 : cost 0 7.333 * * [simplify]: Extracting # 1 : cost 0 7.333 * * [simplify]: Extracting # 2 : cost 0 7.334 * * [simplify]: Extracting # 3 : cost 0 7.335 * * [simplify]: Extracting # 4 : cost 0 7.335 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 7.546 * * [simplify]: Extracting # 0 : cost 0 7.547 * * [simplify]: Extracting # 1 : cost 0 7.548 * * [simplify]: Extracting # 2 : cost 0 7.549 * * [simplify]: Extracting # 3 : cost 0 7.550 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 8.532 * * [simplify]: Extracting # 0 : cost 0 8.537 * * [simplify]: Extracting # 1 : cost 0 8.542 * * [simplify]: Extracting # 2 : cost 0 8.546 * * [simplify]: Extracting # 3 : cost 0 8.555 * * [simplify]: Extracting # 4 : cost 0 8.557 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 9.962 * * [simplify]: Extracting # 0 : cost 0 9.975 * * [simplify]: Extracting # 1 : cost 0 9.982 * * [simplify]: Extracting # 2 : cost 0 9.988 * * [simplify]: Extracting # 3 : cost 0 9.995 * * [simplify]: Extracting # 4 : cost 0 10.001 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 10.002 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (- x) y x (- x) y x (- x) y x (- x) 10.003 * * * [progress]: adding candidates to table 10.425 * [progress]: [Phase 3 of 3] Extracting. 10.425 * * [regime]: Finding splitpoints for: (# # # # #) 10.426 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 10.426 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 10.466 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 10.501 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 10.536 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 10.562 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 10.607 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 10.622 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 10.660 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 10.683 * * * * [regimes]: Trying to branch on y from (# # # # #) 10.729 * * * * [regimes]: Trying to branch on x from (# # # # #) 10.793 * * * [regime]: Found split indices: #