20.848 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.025 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)) 0.028 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.030 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.032 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.034 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.088 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.088 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.088 * [backup-simplify]: Simplify 2.0 into 2.0 0.088 * [taylor]: Taking taylor expansion of (* x y) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) 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 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [backup-simplify]: Simplify 2.0 into 2.0 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [backup-simplify]: Simplify 2.0 into 2.0 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (* 0 y) into 0 0.089 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.090 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.090 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.090 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [backup-simplify]: Simplify 2.0 into 2.0 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.093 * [backup-simplify]: Simplify 2.0 into 2.0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.098 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.098 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.099 * [taylor]: Taking taylor expansion of 2.0 in y 0.099 * [backup-simplify]: Simplify 2.0 into 2.0 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.099 * [taylor]: Taking taylor expansion of (* x y) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* x 0) into 0 0.099 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.099 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [backup-simplify]: Simplify 2.0 into 2.0 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.100 * [taylor]: Taking taylor expansion of (* x y) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (* 0 y) into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of 2.0 in x 0.101 * [backup-simplify]: Simplify 2.0 into 2.0 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (* 0 y) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.102 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [backup-simplify]: Simplify 2.0 into 2.0 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.103 * [backup-simplify]: Simplify 2.0 into 2.0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.113 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [backup-simplify]: Simplify 2.0 into 2.0 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.113 * [taylor]: Taking taylor expansion of (* x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* x 0) into 0 0.117 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.117 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.117 * [taylor]: Taking taylor expansion of 2.0 in x 0.117 * [backup-simplify]: Simplify 2.0 into 2.0 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.117 * [taylor]: Taking taylor expansion of (* x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (* 0 y) into 0 0.118 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.118 * [taylor]: Taking taylor expansion of 2.0 in x 0.118 * [backup-simplify]: Simplify 2.0 into 2.0 0.118 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.118 * [taylor]: Taking taylor expansion of (* x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (* 0 y) into 0 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.120 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of 2.0 in y 0.120 * [backup-simplify]: Simplify 2.0 into 2.0 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.121 * [backup-simplify]: Simplify 2.0 into 2.0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.131 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.131 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.131 * [taylor]: Taking taylor expansion of 2.0 in y 0.131 * [backup-simplify]: Simplify 2.0 into 2.0 0.131 * [taylor]: Taking taylor expansion of (* x y) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.131 * [taylor]: Taking taylor expansion of 2.0 in x 0.131 * [backup-simplify]: Simplify 2.0 into 2.0 0.131 * [taylor]: Taking taylor expansion of (* x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.132 * [taylor]: Taking taylor expansion of 2.0 in x 0.132 * [backup-simplify]: Simplify 2.0 into 2.0 0.132 * [taylor]: Taking taylor expansion of (* x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.132 * [backup-simplify]: Simplify (* 0 y) into 0 0.132 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.132 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.132 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.133 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.133 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.133 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.133 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.133 * [taylor]: Taking taylor expansion of 2.0 in y 0.133 * [backup-simplify]: Simplify 2.0 into 2.0 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.136 * [backup-simplify]: Simplify 2.0 into 2.0 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.137 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.137 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 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)) (* 2.0 (/ 1 (* x y)))) in y 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 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.138 * [taylor]: Taking taylor expansion of 2.0 in y 0.138 * [backup-simplify]: Simplify 2.0 into 2.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.138 * [taylor]: Taking taylor expansion of (* x y) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [backup-simplify]: Simplify x into x 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* x 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 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 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 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) 0.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.139 * [taylor]: Taking taylor expansion of 2.0 in x 0.139 * [backup-simplify]: Simplify 2.0 into 2.0 0.139 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.139 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (* 0 y) into 0 0.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.139 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 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 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [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 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.140 * [taylor]: Taking taylor expansion of 2.0 in x 0.140 * [backup-simplify]: Simplify 2.0 into 2.0 0.140 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.140 * [taylor]: Taking taylor expansion of (* x y) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (* 0 y) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.142 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.142 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of 2.0 in y 0.142 * [backup-simplify]: Simplify 2.0 into 2.0 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.144 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.144 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.145 * [backup-simplify]: Simplify 2.0 into 2.0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.146 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.146 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [backup-simplify]: Simplify x into x 0.146 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.146 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.147 * [taylor]: Taking taylor expansion of 2.0 in y 0.147 * [backup-simplify]: Simplify 2.0 into 2.0 0.147 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.147 * [taylor]: Taking taylor expansion of (* x y) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [backup-simplify]: Simplify x into x 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* x 0) into 0 0.147 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.147 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.148 * [taylor]: Taking taylor expansion of 2.0 in x 0.148 * [backup-simplify]: Simplify 2.0 into 2.0 0.148 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.148 * [taylor]: Taking taylor expansion of (* x y) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* 0 y) into 0 0.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.148 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.149 * [taylor]: Taking taylor expansion of 2.0 in x 0.149 * [backup-simplify]: Simplify 2.0 into 2.0 0.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.149 * [taylor]: Taking taylor expansion of (* x y) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [backup-simplify]: Simplify (* 0 y) into 0 0.149 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.151 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.151 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of 2.0 in y 0.151 * [backup-simplify]: Simplify 2.0 into 2.0 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.153 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.153 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.154 * [backup-simplify]: Simplify 2.0 into 2.0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.154 * * * [progress]: simplifying candidates 0.155 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.155 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (exp (* (* h0 h1) h2))) (log (+ (* h0 h0) (* (* h0 h1) h2))) (exp (+ (* h0 h0) (* (* h0 h1) h2))) (* (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2)))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (* (* (+ (* h0 h0) (* (* h0 h1) h2)) (+ (* h0 h0) (* (* h0 h1) h2))) (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (+ (pow (* h0 h0) 3) (pow (* (* h0 h1) h2) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h0) (* (* h0 h1) h2)))) (- (* (* h0 h0) (* h0 h0)) (* (* (* h0 h1) h2) (* (* h0 h1) h2))) (- (* h0 h0) (* (* h0 h1) h2)) (* (* (exp (* h0 h0)) (exp (* (* h0 h1) h2))) (exp (* h2 h2))) (* (exp (+ (* h0 h0) (* (* h0 h1) h2))) (exp (* h2 h2))) (log (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (exp (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (* (cbrt (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)))) (cbrt (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (* (* (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)) (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2))) (+ (pow (+ (* h0 h0) (* (* h0 h1) h2)) 3) (pow (* h2 h2) 3)) (+ (* (+ (* h0 h0) (* (* h0 h1) h2)) (+ (* h0 h0) (* (* h0 h1) h2))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)))) (- (* (+ (* h0 h0) (* (* h0 h1) h2)) (+ (* h0 h0) (* (* h0 h1) h2))) (* (* h2 h2) (* h2 h2))) (- (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)) (+ (* (* h0 h1) h2) (* h2 h2)) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (+ (pow h2 2) (* h1 (* h0 h2)))) (+ (pow h0 2) (+ (pow h2 2) (* h1 (* h0 h2)))) (+ (pow h0 2) (+ (pow h2 2) (* h1 (* h0 h2)))) 0.159 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.163 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.185 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.308 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.309 * * * [progress]: adding candidates to table 0.365 * * [progress]: iteration 2 / 4 0.365 * * * [progress]: picking best candidate 0.369 * * * * [pick]: Picked # 0.369 * * * [progress]: localizing error 0.376 * * * [progress]: generating rewritten candidates 0.376 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.394 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.418 * * * [progress]: generating series expansions 0.418 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.418 * [backup-simplify]: Simplify (+ (* x (+ (* 2.0 y) x)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.418 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.419 * [taylor]: Taking taylor expansion of 2.0 in y 0.419 * [backup-simplify]: Simplify 2.0 into 2.0 0.419 * [taylor]: Taking taylor expansion of (* x y) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [backup-simplify]: Simplify x into x 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.419 * [taylor]: Taking taylor expansion of 2.0 in x 0.419 * [backup-simplify]: Simplify 2.0 into 2.0 0.419 * [taylor]: Taking taylor expansion of (* x y) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.419 * [taylor]: Taking taylor expansion of 2.0 in x 0.419 * [backup-simplify]: Simplify 2.0 into 2.0 0.419 * [taylor]: Taking taylor expansion of (* x y) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.419 * [backup-simplify]: Simplify (* 0 y) into 0 0.420 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.420 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.420 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.421 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.421 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.421 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.421 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.421 * [taylor]: Taking taylor expansion of 2.0 in y 0.421 * [backup-simplify]: Simplify 2.0 into 2.0 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [taylor]: Taking taylor expansion of 1 in y 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.424 * [backup-simplify]: Simplify 2.0 into 2.0 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.425 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.425 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [backup-simplify]: Simplify x into x 0.425 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.425 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.426 * [taylor]: Taking taylor expansion of 2.0 in y 0.426 * [backup-simplify]: Simplify 2.0 into 2.0 0.426 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.426 * [taylor]: Taking taylor expansion of (* x y) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [backup-simplify]: Simplify x into x 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* x 0) into 0 0.426 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.426 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.427 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.427 * [taylor]: Taking taylor expansion of 2.0 in x 0.427 * [backup-simplify]: Simplify 2.0 into 2.0 0.427 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.427 * [taylor]: Taking taylor expansion of (* x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (* 0 y) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.427 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [backup-simplify]: Simplify y into y 0.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.428 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.428 * [taylor]: Taking taylor expansion of 2.0 in x 0.428 * [backup-simplify]: Simplify 2.0 into 2.0 0.428 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.428 * [taylor]: Taking taylor expansion of (* x y) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [backup-simplify]: Simplify y into y 0.428 * [backup-simplify]: Simplify (* 0 y) into 0 0.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.429 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.429 * [backup-simplify]: Simplify (+ 1 0) into 1 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.430 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.430 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.430 * [taylor]: Taking taylor expansion of 2.0 in y 0.430 * [backup-simplify]: Simplify 2.0 into 2.0 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.432 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.433 * [backup-simplify]: Simplify 2.0 into 2.0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.434 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.434 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [backup-simplify]: Simplify x into x 0.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.434 * [taylor]: Taking taylor expansion of 2.0 in y 0.434 * [backup-simplify]: Simplify 2.0 into 2.0 0.434 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.434 * [taylor]: Taking taylor expansion of (* x y) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [backup-simplify]: Simplify x into x 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* x 0) into 0 0.435 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.435 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.436 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.436 * [taylor]: Taking taylor expansion of 2.0 in x 0.436 * [backup-simplify]: Simplify 2.0 into 2.0 0.436 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.436 * [taylor]: Taking taylor expansion of (* x y) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [backup-simplify]: Simplify y into y 0.436 * [backup-simplify]: Simplify (* 0 y) into 0 0.436 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.436 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [backup-simplify]: Simplify y into y 0.437 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.437 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.437 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.437 * [taylor]: Taking taylor expansion of 2.0 in x 0.437 * [backup-simplify]: Simplify 2.0 into 2.0 0.437 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.437 * [taylor]: Taking taylor expansion of (* x y) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [backup-simplify]: Simplify y into y 0.437 * [backup-simplify]: Simplify (* 0 y) into 0 0.437 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.437 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [taylor]: Taking taylor expansion of 1 in y 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.438 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.438 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.438 * [taylor]: Taking taylor expansion of 2.0 in y 0.439 * [backup-simplify]: Simplify 2.0 into 2.0 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.441 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.441 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.442 * [backup-simplify]: Simplify 2.0 into 2.0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.442 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.442 * [backup-simplify]: Simplify (* x (+ (* 2.0 y) x)) into (* x (+ x (* 2.0 y))) 0.442 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.442 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [backup-simplify]: Simplify x into x 0.442 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [backup-simplify]: Simplify x into x 0.442 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.442 * [taylor]: Taking taylor expansion of 2.0 in y 0.442 * [backup-simplify]: Simplify 2.0 into 2.0 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.442 * [taylor]: Taking taylor expansion of 2.0 in x 0.443 * [backup-simplify]: Simplify 2.0 into 2.0 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [backup-simplify]: Simplify y into y 0.443 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.443 * [taylor]: Taking taylor expansion of 2.0 in x 0.443 * [backup-simplify]: Simplify 2.0 into 2.0 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y) 0.443 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.443 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.444 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.444 * [taylor]: Taking taylor expansion of 2.0 in y 0.444 * [backup-simplify]: Simplify 2.0 into 2.0 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.445 * [taylor]: Taking taylor expansion of 1 in y 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.446 * [backup-simplify]: Simplify 2.0 into 2.0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) into 0 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.451 * [backup-simplify]: Simplify (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) into (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) 0.451 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.451 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.451 * [taylor]: Taking taylor expansion of 2.0 in y 0.451 * [backup-simplify]: Simplify 2.0 into 2.0 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [backup-simplify]: Simplify x into x 0.451 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [backup-simplify]: Simplify x into x 0.451 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.452 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.452 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.452 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.452 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.452 * [taylor]: Taking taylor expansion of 2.0 in x 0.452 * [backup-simplify]: Simplify 2.0 into 2.0 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [backup-simplify]: Simplify y into y 0.452 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.453 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.453 * [taylor]: Taking taylor expansion of 2.0 in x 0.453 * [backup-simplify]: Simplify 2.0 into 2.0 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [backup-simplify]: Simplify y into y 0.453 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (+ 0 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of 1 in y 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.455 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.455 * [taylor]: Taking taylor expansion of 2.0 in y 0.455 * [backup-simplify]: Simplify 2.0 into 2.0 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.455 * [backup-simplify]: Simplify 2.0 into 2.0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.468 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) into (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) 0.468 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.469 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of 2.0 in y 0.469 * [backup-simplify]: Simplify 2.0 into 2.0 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.469 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.469 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.470 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.470 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.470 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.470 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.470 * [taylor]: Taking taylor expansion of 2.0 in x 0.470 * [backup-simplify]: Simplify 2.0 into 2.0 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (+ 0 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.471 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.471 * [taylor]: Taking taylor expansion of 2.0 in x 0.471 * [backup-simplify]: Simplify 2.0 into 2.0 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [backup-simplify]: Simplify y into y 0.471 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of 1 in y 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.472 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of 2.0 in y 0.473 * [backup-simplify]: Simplify 2.0 into 2.0 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.473 * [backup-simplify]: Simplify 2.0 into 2.0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.482 * * * [progress]: simplifying candidates 0.483 * [simplify]: Simplifying: (* (exp (* x (+ (* 2.0 y) x))) (exp (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (* (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.483 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 (+ (* h1 h2) h0))) (exp (* h2 h2))) (log (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (exp (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (* (cbrt (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (cbrt (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2)))) (cbrt (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (* (* (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2)) (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (sqrt (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (sqrt (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2))) (+ (pow (* h0 (+ (* h1 h2) h0)) 3) (pow (* h2 h2) 3)) (+ (* (* h0 (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0))) (- (* (* h2 h2) (* h2 h2)) (* (* h0 (+ (* h1 h2) h0)) (* h2 h2)))) (- (* (* h0 (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0))) (* (* h2 h2) (* h2 h2))) (- (* h0 (+ (* h1 h2) h0)) (* h2 h2)) (+ (* h0 h0) (* h2 h2)) (+ (* h0 h0) (* h2 h2)) (* h0 (+ (* h1 h2) h0)) (+ (log h0) (log (+ (* h1 h2) h0))) (log (* h0 (+ (* h1 h2) h0))) (exp (* h0 (+ (* h1 h2) h0))) (* (* (* h0 h0) h0) (* (* (+ (* h1 h2) h0) (+ (* h1 h2) h0)) (+ (* h1 h2) h0))) (* (cbrt (* h0 (+ (* h1 h2) h0))) (cbrt (* h0 (+ (* h1 h2) h0)))) (cbrt (* h0 (+ (* h1 h2) h0))) (* (* (* h0 (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0))) (* h0 (+ (* h1 h2) h0))) (sqrt (* h0 (+ (* h1 h2) h0))) (sqrt (* h0 (+ (* h1 h2) h0))) (* (sqrt h0) (sqrt (+ (* h1 h2) h0))) (* (sqrt h0) (sqrt (+ (* h1 h2) h0))) (* h0 (* h1 h2)) (* h0 h0) (* (* h1 h2) h0) (* h0 h0) (* h0 (* (cbrt (+ (* h1 h2) h0)) (cbrt (+ (* h1 h2) h0)))) (* h0 (sqrt (+ (* h1 h2) h0))) (* h0 1) (* (cbrt h0) (+ (* h1 h2) h0)) (* (sqrt h0) (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0)) (* h0 (+ (pow (* h1 h2) 3) (pow h0 3))) (* h0 (- (* (* h1 h2) (* h1 h2)) (* h0 h0))) (+ (pow h0 2) (+ (pow h2 2) (* h1 (* h0 h2)))) (+ (pow h0 2) (+ (pow h2 2) (* h1 (* h0 h2)))) (+ (pow h0 2) (+ (pow h2 2) (* h1 (* h0 h2)))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.487 * * [simplify]: iteration 0 : 225 enodes (cost 237 ) 0.493 * * [simplify]: iteration 1 : 1110 enodes (cost 217 ) 0.518 * * [simplify]: iteration 2 : 5002 enodes (cost 217 ) 0.520 * * * [progress]: adding candidates to table 0.592 * * [progress]: iteration 3 / 4 0.592 * * * [progress]: picking best candidate 0.595 * * * * [pick]: Picked # 0.595 * * * [progress]: localizing error 0.602 * * * [progress]: generating rewritten candidates 0.602 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.611 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.639 * * * [progress]: generating series expansions 0.639 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.639 * [backup-simplify]: Simplify (+ (* x x) (* y (+ (* x 2.0) y))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.639 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.639 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [backup-simplify]: Simplify x into x 0.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.639 * [taylor]: Taking taylor expansion of 2.0 in y 0.639 * [backup-simplify]: Simplify 2.0 into 2.0 0.640 * [taylor]: Taking taylor expansion of (* x y) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [backup-simplify]: Simplify x into x 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [backup-simplify]: Simplify y into y 0.640 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.640 * [taylor]: Taking taylor expansion of 2.0 in x 0.640 * [backup-simplify]: Simplify 2.0 into 2.0 0.640 * [taylor]: Taking taylor expansion of (* x y) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [backup-simplify]: Simplify y into y 0.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [backup-simplify]: Simplify y into y 0.640 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.640 * [taylor]: Taking taylor expansion of 2.0 in x 0.640 * [backup-simplify]: Simplify 2.0 into 2.0 0.640 * [taylor]: Taking taylor expansion of (* x y) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [backup-simplify]: Simplify y into y 0.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.640 * [backup-simplify]: Simplify (* 0 y) into 0 0.641 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.641 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.641 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.642 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.642 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.642 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.642 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.642 * [taylor]: Taking taylor expansion of 2.0 in y 0.642 * [backup-simplify]: Simplify 2.0 into 2.0 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.643 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (+ 1 0) into 1 0.644 * [taylor]: Taking taylor expansion of 1 in y 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.645 * [backup-simplify]: Simplify 2.0 into 2.0 0.645 * [backup-simplify]: Simplify (* 1 1) into 1 0.645 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.646 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.646 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.646 * [backup-simplify]: Simplify x into x 0.646 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.647 * [taylor]: Taking taylor expansion of 2.0 in y 0.647 * [backup-simplify]: Simplify 2.0 into 2.0 0.647 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.647 * [taylor]: Taking taylor expansion of (* x y) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.647 * [backup-simplify]: Simplify x into x 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* x 0) into 0 0.647 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.647 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (* 1 1) into 1 0.648 * [backup-simplify]: Simplify (/ 1 1) into 1 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [backup-simplify]: Simplify y into y 0.648 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.648 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.648 * [taylor]: Taking taylor expansion of 2.0 in x 0.648 * [backup-simplify]: Simplify 2.0 into 2.0 0.648 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.648 * [taylor]: Taking taylor expansion of (* x y) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [backup-simplify]: Simplify y into y 0.648 * [backup-simplify]: Simplify (* 0 y) into 0 0.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.649 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (* 1 1) into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [backup-simplify]: Simplify y into y 0.649 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.649 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.649 * [taylor]: Taking taylor expansion of 2.0 in x 0.649 * [backup-simplify]: Simplify 2.0 into 2.0 0.649 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.649 * [taylor]: Taking taylor expansion of (* x y) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [backup-simplify]: Simplify y into y 0.649 * [backup-simplify]: Simplify (* 0 y) into 0 0.650 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.650 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.650 * [taylor]: Taking taylor expansion of 1 in y 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.651 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.651 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.651 * [taylor]: Taking taylor expansion of 2.0 in y 0.651 * [backup-simplify]: Simplify 2.0 into 2.0 0.651 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.653 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.653 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.654 * [backup-simplify]: Simplify 2.0 into 2.0 0.654 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.655 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.655 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [backup-simplify]: Simplify x into x 0.655 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.655 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.656 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.656 * [taylor]: Taking taylor expansion of 2.0 in y 0.656 * [backup-simplify]: Simplify 2.0 into 2.0 0.656 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.656 * [taylor]: Taking taylor expansion of (* x y) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [backup-simplify]: Simplify x into x 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (* x 0) into 0 0.656 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.656 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [backup-simplify]: Simplify y into y 0.657 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.657 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.657 * [taylor]: Taking taylor expansion of 2.0 in x 0.657 * [backup-simplify]: Simplify 2.0 into 2.0 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.657 * [taylor]: Taking taylor expansion of (* x y) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [backup-simplify]: Simplify y into y 0.657 * [backup-simplify]: Simplify (* 0 y) into 0 0.657 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.657 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [backup-simplify]: Simplify y into y 0.658 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.658 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.658 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.658 * [taylor]: Taking taylor expansion of 2.0 in x 0.658 * [backup-simplify]: Simplify 2.0 into 2.0 0.658 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.658 * [taylor]: Taking taylor expansion of (* x y) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [backup-simplify]: Simplify y into y 0.658 * [backup-simplify]: Simplify (* 0 y) into 0 0.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.659 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.659 * [backup-simplify]: Simplify (+ 1 0) into 1 0.659 * [taylor]: Taking taylor expansion of 1 in y 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.660 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.660 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.660 * [taylor]: Taking taylor expansion of 2.0 in y 0.660 * [backup-simplify]: Simplify 2.0 into 2.0 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.662 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.662 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.663 * [backup-simplify]: Simplify 2.0 into 2.0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.664 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.664 * [backup-simplify]: Simplify (* y (+ (* x 2.0) y)) into (* (+ (* 2.0 x) y) y) 0.664 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.664 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.664 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.664 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.664 * [taylor]: Taking taylor expansion of 2.0 in x 0.664 * [backup-simplify]: Simplify 2.0 into 2.0 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [backup-simplify]: Simplify y into y 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [backup-simplify]: Simplify y into y 0.664 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.664 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.664 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.664 * [taylor]: Taking taylor expansion of 2.0 in y 0.664 * [backup-simplify]: Simplify 2.0 into 2.0 0.664 * [taylor]: Taking taylor expansion of x in y 0.664 * [backup-simplify]: Simplify x into x 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.664 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.664 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.664 * [taylor]: Taking taylor expansion of 2.0 in y 0.664 * [backup-simplify]: Simplify 2.0 into 2.0 0.664 * [taylor]: Taking taylor expansion of x in y 0.664 * [backup-simplify]: Simplify x into x 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.664 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.664 * [backup-simplify]: Simplify (* (* 2.0 x) 0) into 0 0.664 * [taylor]: Taking taylor expansion of 0 in x 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.665 * [backup-simplify]: Simplify (+ 0 1) into 1 0.665 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 1) (* 1 0)) into (* 2.0 x) 0.665 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.665 * [taylor]: Taking taylor expansion of 2.0 in x 0.665 * [backup-simplify]: Simplify 2.0 into 2.0 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 1) (* 0 0))) into 1 0.667 * [taylor]: Taking taylor expansion of 1 in x 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.668 * [backup-simplify]: Simplify 2.0 into 2.0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.669 * [taylor]: Taking taylor expansion of 0 in x 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.671 * [taylor]: Taking taylor expansion of 0 in x 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2.0 (* x y))) 0.672 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y))) into (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) 0.672 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [backup-simplify]: Simplify y into y 0.672 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of 2.0 in x 0.672 * [backup-simplify]: Simplify 2.0 into 2.0 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [backup-simplify]: Simplify y into y 0.673 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.673 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.673 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.673 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.673 * [taylor]: Taking taylor expansion of 2.0 in y 0.673 * [backup-simplify]: Simplify 2.0 into 2.0 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [backup-simplify]: Simplify x into x 0.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (+ 1 0) into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.674 * [taylor]: Taking taylor expansion of 2.0 in y 0.674 * [backup-simplify]: Simplify 2.0 into 2.0 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [backup-simplify]: Simplify x into x 0.674 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (+ 1 0) into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [taylor]: Taking taylor expansion of 1 in x 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.675 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.676 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of 2.0 in x 0.676 * [backup-simplify]: Simplify 2.0 into 2.0 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (/ 1 1) into 1 0.676 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.676 * [backup-simplify]: Simplify 2.0 into 2.0 0.676 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 0.678 * [taylor]: Taking taylor expansion of 0 in x 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [taylor]: Taking taylor expansion of 0 in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.686 * [taylor]: Taking taylor expansion of 0 in x 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2.0 (* x y))) 0.686 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) 0.686 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.686 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [backup-simplify]: Simplify y into y 0.686 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of 2.0 in x 0.686 * [backup-simplify]: Simplify 2.0 into 2.0 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [taylor]: Taking taylor expansion of y in x 0.687 * [backup-simplify]: Simplify y into y 0.687 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.687 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.687 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.687 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.688 * [taylor]: Taking taylor expansion of 2.0 in y 0.688 * [backup-simplify]: Simplify 2.0 into 2.0 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [backup-simplify]: Simplify x into x 0.688 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (+ 1 0) into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.689 * [taylor]: Taking taylor expansion of 2.0 in y 0.689 * [backup-simplify]: Simplify 2.0 into 2.0 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [backup-simplify]: Simplify x into x 0.689 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (+ 1 0) into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of 1 in x 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.690 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.691 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of 2.0 in x 0.691 * [backup-simplify]: Simplify 2.0 into 2.0 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.691 * [backup-simplify]: Simplify 2.0 into 2.0 0.691 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 0.693 * [taylor]: Taking taylor expansion of 0 in x 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [taylor]: Taking taylor expansion of 0 in x 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.705 * [taylor]: Taking taylor expansion of 0 in x 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2.0 (* x y))) 0.705 * * * [progress]: simplifying candidates 0.706 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (* (* (+ (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* y (+ (* x 2.0) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (* x 2.0))) (+ (* x x) (* (* x 2.0) y)) (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 0.706 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (exp (* h1 (+ (* h0 h2) h1)))) (log (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (exp (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (* (cbrt (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (cbrt (+ (* h0 h0) (* h1 (+ (* h0 h2) h1))))) (cbrt (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (* (* (+ (* h0 h0) (* h1 (+ (* h0 h2) h1))) (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (sqrt (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (sqrt (+ (* h0 h0) (* h1 (+ (* h0 h2) h1)))) (+ (pow (* h0 h0) 3) (pow (* h1 (+ (* h0 h2) h1)) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 (+ (* h0 h2) h1)) (* h1 (+ (* h0 h2) h1))) (* (* h0 h0) (* h1 (+ (* h0 h2) h1))))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 (+ (* h0 h2) h1)) (* h1 (+ (* h0 h2) h1)))) (- (* h0 h0) (* h1 (+ (* h0 h2) h1))) (+ (* h0 h0) (* h1 (* h0 h2))) (+ (* h0 h0) (* (* h0 h2) h1)) (* h1 (+ (* h0 h2) h1)) (+ (log h1) (log (+ (* h0 h2) h1))) (log (* h1 (+ (* h0 h2) h1))) (exp (* h1 (+ (* h0 h2) h1))) (* (* (* h1 h1) h1) (* (* (+ (* h0 h2) h1) (+ (* h0 h2) h1)) (+ (* h0 h2) h1))) (* (cbrt (* h1 (+ (* h0 h2) h1))) (cbrt (* h1 (+ (* h0 h2) h1)))) (cbrt (* h1 (+ (* h0 h2) h1))) (* (* (* h1 (+ (* h0 h2) h1)) (* h1 (+ (* h0 h2) h1))) (* h1 (+ (* h0 h2) h1))) (sqrt (* h1 (+ (* h0 h2) h1))) (sqrt (* h1 (+ (* h0 h2) h1))) (* (sqrt h1) (sqrt (+ (* h0 h2) h1))) (* (sqrt h1) (sqrt (+ (* h0 h2) h1))) (* h1 (* h0 h2)) (* h1 h1) (* (* h0 h2) h1) (* h1 h1) (* h1 (* (cbrt (+ (* h0 h2) h1)) (cbrt (+ (* h0 h2) h1)))) (* h1 (sqrt (+ (* h0 h2) h1))) (* h1 1) (* (cbrt h1) (+ (* h0 h2) h1)) (* (sqrt h1) (+ (* h0 h2) h1)) (* h1 (+ (* h0 h2) h1)) (* h1 (+ (pow (* h0 h2) 3) (pow h1 3))) (* h1 (- (* (* h0 h2) (* h0 h2)) (* h1 h1))) (+ (pow h0 2) (+ (pow h1 2) (* h2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* h2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* h2 (* h0 h1)))) (+ (pow h1 2) (* h2 (* h0 h1))) (+ (pow h1 2) (* h2 (* h0 h1))) (+ (pow h1 2) (* h2 (* h0 h1))) 0.710 * * [simplify]: iteration 0 : 224 enodes (cost 234 ) 0.716 * * [simplify]: iteration 1 : 1140 enodes (cost 214 ) 0.743 * * [simplify]: iteration 2 : 5002 enodes (cost 214 ) 0.744 * * * [progress]: adding candidates to table 0.806 * * [progress]: iteration 4 / 4 0.806 * * * [progress]: picking best candidate 0.808 * * * * [pick]: Picked # 0.808 * * * [progress]: localizing error 0.818 * * * [progress]: generating rewritten candidates 0.818 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.835 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.855 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.947 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.966 * * * [progress]: generating series expansions 0.966 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.966 * [backup-simplify]: Simplify (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) into (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) 0.966 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.966 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [backup-simplify]: Simplify x into x 0.966 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.966 * [taylor]: Taking taylor expansion of 2.0 in y 0.966 * [backup-simplify]: Simplify 2.0 into 2.0 0.966 * [taylor]: Taking taylor expansion of (* x y) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [backup-simplify]: Simplify x into x 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.966 * [backup-simplify]: Simplify (* x 0) into 0 0.967 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.967 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.968 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.968 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.968 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 0.968 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.968 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.968 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [backup-simplify]: Simplify y into y 0.968 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.968 * [taylor]: Taking taylor expansion of 2.0 in x 0.969 * [backup-simplify]: Simplify 2.0 into 2.0 0.969 * [taylor]: Taking taylor expansion of (* x y) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [backup-simplify]: Simplify y into y 0.969 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.969 * [backup-simplify]: Simplify (* 0 y) into 0 0.969 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.969 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.969 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.969 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.969 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.969 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.970 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.970 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.970 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.970 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [backup-simplify]: Simplify y into y 0.970 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.970 * [taylor]: Taking taylor expansion of 2.0 in x 0.970 * [backup-simplify]: Simplify 2.0 into 2.0 0.970 * [taylor]: Taking taylor expansion of (* x y) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [backup-simplify]: Simplify y into y 0.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.970 * [backup-simplify]: Simplify (* 0 y) into 0 0.971 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.971 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.971 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.971 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.971 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.971 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.971 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.971 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.972 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0 0.972 * [taylor]: Taking taylor expansion of y in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [taylor]: Taking taylor expansion of 1.0 in y 0.972 * [backup-simplify]: Simplify 1.0 into 1.0 0.972 * [backup-simplify]: Simplify 1.0 into 1.0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.973 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.975 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0 0.978 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y) 0.978 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) 0.978 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.978 * [backup-simplify]: Simplify x into x 0.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.979 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.979 * [taylor]: Taking taylor expansion of 2.0 in y 0.979 * [backup-simplify]: Simplify 2.0 into 2.0 0.979 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.979 * [taylor]: Taking taylor expansion of (* x y) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.979 * [backup-simplify]: Simplify x into x 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* x 0) into 0 0.980 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.980 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.980 * [backup-simplify]: Simplify (+ 1 0) into 1 0.980 * [backup-simplify]: Simplify (+ 0 1) into 1 0.980 * [backup-simplify]: Simplify (sqrt 1) into 1 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.981 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.981 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.982 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 0.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [backup-simplify]: Simplify y into y 0.982 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.982 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.982 * [taylor]: Taking taylor expansion of 2.0 in x 0.982 * [backup-simplify]: Simplify 2.0 into 2.0 0.982 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.982 * [taylor]: Taking taylor expansion of (* x y) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [taylor]: Taking taylor expansion of y in x 0.983 * [backup-simplify]: Simplify y into y 0.983 * [backup-simplify]: Simplify (* 0 y) into 0 0.983 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.983 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.983 * [backup-simplify]: Simplify (+ 1 0) into 1 0.983 * [backup-simplify]: Simplify (sqrt 1) into 1 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.984 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.984 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.985 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (* 1 1) into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [backup-simplify]: Simplify y into y 0.985 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.985 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.985 * [taylor]: Taking taylor expansion of 2.0 in x 0.985 * [backup-simplify]: Simplify 2.0 into 2.0 0.985 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.985 * [taylor]: Taking taylor expansion of (* x y) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of y in x 0.986 * [backup-simplify]: Simplify y into y 0.986 * [backup-simplify]: Simplify (* 0 y) into 0 0.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.986 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.986 * [backup-simplify]: Simplify (+ 1 0) into 1 0.986 * [backup-simplify]: Simplify (sqrt 1) into 1 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.987 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.987 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.988 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 0.988 * [taylor]: Taking taylor expansion of 1 in y 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.988 * [taylor]: Taking taylor expansion of 1.0 in y 0.988 * [backup-simplify]: Simplify 1.0 into 1.0 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.988 * [backup-simplify]: Simplify 1.0 into 1.0 0.988 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.990 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.990 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.990 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.991 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y)) 1.000 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) 1.000 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [backup-simplify]: Simplify x into x 1.000 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.000 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.001 * [taylor]: Taking taylor expansion of 2.0 in y 1.001 * [backup-simplify]: Simplify 2.0 into 2.0 1.001 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.001 * [taylor]: Taking taylor expansion of (* x y) in y 1.001 * [taylor]: Taking taylor expansion of x in y 1.001 * [backup-simplify]: Simplify x into x 1.001 * [taylor]: Taking taylor expansion of y in y 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (* x 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.001 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.001 * [backup-simplify]: Simplify (+ 1 0) into 1 1.002 * [backup-simplify]: Simplify (+ 0 1) into 1 1.002 * [backup-simplify]: Simplify (sqrt 1) into 1 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.003 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.003 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.003 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.004 * [backup-simplify]: Simplify y into y 1.004 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.004 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.004 * [taylor]: Taking taylor expansion of 2.0 in x 1.004 * [backup-simplify]: Simplify 2.0 into 2.0 1.004 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.004 * [taylor]: Taking taylor expansion of (* x y) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [taylor]: Taking taylor expansion of y in x 1.004 * [backup-simplify]: Simplify y into y 1.004 * [backup-simplify]: Simplify (* 0 y) into 0 1.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.005 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.005 * [backup-simplify]: Simplify (+ 1 0) into 1 1.005 * [backup-simplify]: Simplify (sqrt 1) into 1 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.006 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.006 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.006 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (* 1 1) into 1 1.007 * [backup-simplify]: Simplify (/ 1 1) into 1 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [backup-simplify]: Simplify y into y 1.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.007 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.007 * [taylor]: Taking taylor expansion of 2.0 in x 1.007 * [backup-simplify]: Simplify 2.0 into 2.0 1.007 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.007 * [taylor]: Taking taylor expansion of (* x y) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [backup-simplify]: Simplify y into y 1.007 * [backup-simplify]: Simplify (* 0 y) into 0 1.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.008 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.008 * [backup-simplify]: Simplify (+ 1 0) into 1 1.008 * [backup-simplify]: Simplify (sqrt 1) into 1 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.009 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.009 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.009 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.009 * [taylor]: Taking taylor expansion of 1 in y 1.009 * [backup-simplify]: Simplify 1 into 1 1.009 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.009 * [taylor]: Taking taylor expansion of 1.0 in y 1.009 * [backup-simplify]: Simplify 1.0 into 1.0 1.009 * [taylor]: Taking taylor expansion of y in y 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.010 * [backup-simplify]: Simplify 1.0 into 1.0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.012 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.012 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 1.016 * [taylor]: Taking taylor expansion of 0 in y 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y))) 1.021 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.021 * [backup-simplify]: Simplify (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) into (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) 1.021 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 1.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.022 * [backup-simplify]: Simplify x into x 1.022 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.022 * [taylor]: Taking taylor expansion of 2.0 in y 1.022 * [backup-simplify]: Simplify 2.0 into 2.0 1.022 * [taylor]: Taking taylor expansion of (* x y) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.022 * [backup-simplify]: Simplify x into x 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.022 * [backup-simplify]: Simplify (* x 0) into 0 1.022 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.022 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.023 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.023 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.023 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 1.023 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.023 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.023 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.023 * [backup-simplify]: Simplify y into y 1.023 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.023 * [taylor]: Taking taylor expansion of 2.0 in x 1.023 * [backup-simplify]: Simplify 2.0 into 2.0 1.023 * [taylor]: Taking taylor expansion of (* x y) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [taylor]: Taking taylor expansion of y in x 1.024 * [backup-simplify]: Simplify y into y 1.024 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.024 * [backup-simplify]: Simplify (* 0 y) into 0 1.024 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.024 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.024 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.024 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.025 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.025 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.025 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.025 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 1.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [backup-simplify]: Simplify y into y 1.025 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.025 * [taylor]: Taking taylor expansion of 2.0 in x 1.025 * [backup-simplify]: Simplify 2.0 into 2.0 1.025 * [taylor]: Taking taylor expansion of (* x y) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [backup-simplify]: Simplify y into y 1.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.025 * [backup-simplify]: Simplify (* 0 y) into 0 1.026 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.026 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.026 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.026 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.026 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.026 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.026 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.026 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.027 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [taylor]: Taking taylor expansion of 1.0 in y 1.027 * [backup-simplify]: Simplify 1.0 into 1.0 1.027 * [backup-simplify]: Simplify 1.0 into 1.0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify (+ 1 0) into 1 1.029 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.030 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0 1.033 * [taylor]: Taking taylor expansion of 0 in y 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y) 1.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) 1.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [backup-simplify]: Simplify x into x 1.033 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.034 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.034 * [taylor]: Taking taylor expansion of 2.0 in y 1.034 * [backup-simplify]: Simplify 2.0 into 2.0 1.034 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.034 * [taylor]: Taking taylor expansion of (* x y) in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [backup-simplify]: Simplify x into x 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* x 0) into 0 1.034 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.034 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.034 * [backup-simplify]: Simplify (+ 1 0) into 1 1.035 * [backup-simplify]: Simplify (+ 0 1) into 1 1.035 * [backup-simplify]: Simplify (sqrt 1) into 1 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.036 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.036 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.036 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (/ 1 1) into 1 1.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.037 * [taylor]: Taking taylor expansion of y in x 1.037 * [backup-simplify]: Simplify y into y 1.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.037 * [taylor]: Taking taylor expansion of 2.0 in x 1.037 * [backup-simplify]: Simplify 2.0 into 2.0 1.037 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.037 * [taylor]: Taking taylor expansion of (* x y) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [taylor]: Taking taylor expansion of y in x 1.037 * [backup-simplify]: Simplify y into y 1.037 * [backup-simplify]: Simplify (* 0 y) into 0 1.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.037 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.038 * [backup-simplify]: Simplify (+ 1 0) into 1 1.038 * [backup-simplify]: Simplify (sqrt 1) into 1 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.039 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.039 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.039 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (* 1 1) into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [backup-simplify]: Simplify y into y 1.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.040 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.040 * [taylor]: Taking taylor expansion of 2.0 in x 1.040 * [backup-simplify]: Simplify 2.0 into 2.0 1.040 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.040 * [taylor]: Taking taylor expansion of (* x y) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [backup-simplify]: Simplify y into y 1.040 * [backup-simplify]: Simplify (* 0 y) into 0 1.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.040 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.041 * [backup-simplify]: Simplify (+ 1 0) into 1 1.041 * [backup-simplify]: Simplify (sqrt 1) into 1 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.042 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.042 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.042 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.042 * [taylor]: Taking taylor expansion of 1 in y 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.042 * [taylor]: Taking taylor expansion of 1.0 in y 1.042 * [backup-simplify]: Simplify 1.0 into 1.0 1.042 * [taylor]: Taking taylor expansion of y in y 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.043 * [backup-simplify]: Simplify 1.0 into 1.0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.045 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.045 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 1.054 * [taylor]: Taking taylor expansion of 0 in y 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y)) 1.060 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) 1.060 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 1.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.060 * [taylor]: Taking taylor expansion of x in y 1.060 * [backup-simplify]: Simplify x into x 1.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.060 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.060 * [taylor]: Taking taylor expansion of y in y 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (* 1 1) into 1 1.060 * [backup-simplify]: Simplify (/ 1 1) into 1 1.060 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.060 * [taylor]: Taking taylor expansion of 2.0 in y 1.060 * [backup-simplify]: Simplify 2.0 into 2.0 1.060 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.060 * [taylor]: Taking taylor expansion of (* x y) in y 1.060 * [taylor]: Taking taylor expansion of x in y 1.061 * [backup-simplify]: Simplify x into x 1.061 * [taylor]: Taking taylor expansion of y in y 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (* x 0) into 0 1.061 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.061 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.061 * [backup-simplify]: Simplify (+ 1 0) into 1 1.061 * [backup-simplify]: Simplify (+ 0 1) into 1 1.062 * [backup-simplify]: Simplify (sqrt 1) into 1 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.062 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.062 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.063 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (* 1 1) into 1 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.063 * [backup-simplify]: Simplify y into y 1.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.064 * [taylor]: Taking taylor expansion of 2.0 in x 1.064 * [backup-simplify]: Simplify 2.0 into 2.0 1.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.064 * [taylor]: Taking taylor expansion of (* x y) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [backup-simplify]: Simplify y into y 1.064 * [backup-simplify]: Simplify (* 0 y) into 0 1.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.064 * [backup-simplify]: Simplify (+ 1 0) into 1 1.065 * [backup-simplify]: Simplify (sqrt 1) into 1 1.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.065 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.065 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.066 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (* 1 1) into 1 1.066 * [backup-simplify]: Simplify (/ 1 1) into 1 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.066 * [taylor]: Taking taylor expansion of y in x 1.066 * [backup-simplify]: Simplify y into y 1.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.067 * [taylor]: Taking taylor expansion of 2.0 in x 1.067 * [backup-simplify]: Simplify 2.0 into 2.0 1.067 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.067 * [taylor]: Taking taylor expansion of (* x y) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [taylor]: Taking taylor expansion of y in x 1.067 * [backup-simplify]: Simplify y into y 1.067 * [backup-simplify]: Simplify (* 0 y) into 0 1.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.067 * [backup-simplify]: Simplify (+ 1 0) into 1 1.068 * [backup-simplify]: Simplify (sqrt 1) into 1 1.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.068 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.068 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.069 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.069 * [taylor]: Taking taylor expansion of 1 in y 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.069 * [taylor]: Taking taylor expansion of 1.0 in y 1.069 * [backup-simplify]: Simplify 1.0 into 1.0 1.069 * [taylor]: Taking taylor expansion of y in y 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.069 * [backup-simplify]: Simplify 1.0 into 1.0 1.069 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.071 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.072 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y))) 1.081 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.081 * [backup-simplify]: Simplify (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.081 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 1.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.081 * [taylor]: Taking taylor expansion of x in y 1.081 * [backup-simplify]: Simplify x into x 1.081 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.081 * [taylor]: Taking taylor expansion of 2.0 in y 1.081 * [backup-simplify]: Simplify 2.0 into 2.0 1.081 * [taylor]: Taking taylor expansion of (* x y) in y 1.081 * [taylor]: Taking taylor expansion of x in y 1.081 * [backup-simplify]: Simplify x into x 1.081 * [taylor]: Taking taylor expansion of y in y 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.081 * [backup-simplify]: Simplify y into y 1.081 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.081 * [taylor]: Taking taylor expansion of 2.0 in x 1.081 * [backup-simplify]: Simplify 2.0 into 2.0 1.081 * [taylor]: Taking taylor expansion of (* x y) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.082 * [taylor]: Taking taylor expansion of 2.0 in x 1.082 * [backup-simplify]: Simplify 2.0 into 2.0 1.082 * [taylor]: Taking taylor expansion of (* x y) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.082 * [backup-simplify]: Simplify (* 0 y) into 0 1.082 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.082 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.082 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.083 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.083 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.083 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.083 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.083 * [taylor]: Taking taylor expansion of 2.0 in y 1.083 * [backup-simplify]: Simplify 2.0 into 2.0 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (* 1 1) into 1 1.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.085 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (+ 1 0) into 1 1.085 * [taylor]: Taking taylor expansion of 1 in y 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.086 * [backup-simplify]: Simplify 2.0 into 2.0 1.086 * [backup-simplify]: Simplify (* 1 1) into 1 1.086 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.087 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 1.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.087 * [taylor]: Taking taylor expansion of x in y 1.087 * [backup-simplify]: Simplify x into x 1.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (* 1 1) into 1 1.088 * [backup-simplify]: Simplify (/ 1 1) into 1 1.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.088 * [taylor]: Taking taylor expansion of 2.0 in y 1.088 * [backup-simplify]: Simplify 2.0 into 2.0 1.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.088 * [taylor]: Taking taylor expansion of (* x y) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [backup-simplify]: Simplify x into x 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (* x 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ 1 1) into 1 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.089 * [backup-simplify]: Simplify y into y 1.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.089 * [taylor]: Taking taylor expansion of 2.0 in x 1.089 * [backup-simplify]: Simplify 2.0 into 2.0 1.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.089 * [taylor]: Taking taylor expansion of (* x y) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [taylor]: Taking taylor expansion of y in x 1.089 * [backup-simplify]: Simplify y into y 1.089 * [backup-simplify]: Simplify (* 0 y) into 0 1.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (* 1 1) into 1 1.090 * [backup-simplify]: Simplify (/ 1 1) into 1 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [backup-simplify]: Simplify y into y 1.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.090 * [taylor]: Taking taylor expansion of 2.0 in x 1.090 * [backup-simplify]: Simplify 2.0 into 2.0 1.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.090 * [taylor]: Taking taylor expansion of (* x y) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [backup-simplify]: Simplify y into y 1.090 * [backup-simplify]: Simplify (* 0 y) into 0 1.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.091 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.091 * [backup-simplify]: Simplify (+ 1 0) into 1 1.091 * [taylor]: Taking taylor expansion of 1 in y 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.092 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.092 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.092 * [taylor]: Taking taylor expansion of 2.0 in y 1.092 * [backup-simplify]: Simplify 2.0 into 2.0 1.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.094 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (* 1 1) into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.095 * [backup-simplify]: Simplify 2.0 into 2.0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.096 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 1.096 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [backup-simplify]: Simplify x into x 1.096 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.096 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.097 * [taylor]: Taking taylor expansion of 2.0 in y 1.097 * [backup-simplify]: Simplify 2.0 into 2.0 1.097 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.097 * [taylor]: Taking taylor expansion of (* x y) in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [backup-simplify]: Simplify x into x 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* x 0) into 0 1.097 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.097 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (* 1 1) into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [backup-simplify]: Simplify y into y 1.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.098 * [taylor]: Taking taylor expansion of 2.0 in x 1.098 * [backup-simplify]: Simplify 2.0 into 2.0 1.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.098 * [taylor]: Taking taylor expansion of (* x y) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [backup-simplify]: Simplify y into y 1.098 * [backup-simplify]: Simplify (* 0 y) into 0 1.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (* 1 1) into 1 1.099 * [backup-simplify]: Simplify (/ 1 1) into 1 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [backup-simplify]: Simplify y into y 1.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.099 * [taylor]: Taking taylor expansion of 2.0 in x 1.099 * [backup-simplify]: Simplify 2.0 into 2.0 1.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.099 * [taylor]: Taking taylor expansion of (* x y) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [backup-simplify]: Simplify y into y 1.099 * [backup-simplify]: Simplify (* 0 y) into 0 1.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.100 * [backup-simplify]: Simplify (+ 1 0) into 1 1.100 * [taylor]: Taking taylor expansion of 1 in y 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.101 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.101 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.101 * [taylor]: Taking taylor expansion of 2.0 in y 1.101 * [backup-simplify]: Simplify 2.0 into 2.0 1.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.103 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (* 1 1) into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.104 * [backup-simplify]: Simplify 2.0 into 2.0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.105 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.105 * [backup-simplify]: Simplify (+ (* x (+ (* 2.0 y) x)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.105 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [backup-simplify]: Simplify x into x 1.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.105 * [taylor]: Taking taylor expansion of y in y 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.105 * [taylor]: Taking taylor expansion of 2.0 in y 1.105 * [backup-simplify]: Simplify 2.0 into 2.0 1.105 * [taylor]: Taking taylor expansion of (* x y) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [backup-simplify]: Simplify x into x 1.105 * [taylor]: Taking taylor expansion of y in y 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [backup-simplify]: Simplify y into y 1.105 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.105 * [taylor]: Taking taylor expansion of 2.0 in x 1.105 * [backup-simplify]: Simplify 2.0 into 2.0 1.105 * [taylor]: Taking taylor expansion of (* x y) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [backup-simplify]: Simplify y into y 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [backup-simplify]: Simplify y into y 1.106 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.106 * [taylor]: Taking taylor expansion of 2.0 in x 1.106 * [backup-simplify]: Simplify 2.0 into 2.0 1.106 * [taylor]: Taking taylor expansion of (* x y) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [backup-simplify]: Simplify y into y 1.106 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.106 * [backup-simplify]: Simplify (* 0 y) into 0 1.106 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.106 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.106 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.107 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.107 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.107 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.107 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.107 * [taylor]: Taking taylor expansion of 2.0 in y 1.107 * [backup-simplify]: Simplify 2.0 into 2.0 1.107 * [taylor]: Taking taylor expansion of y in y 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (+ 1 0) into 1 1.109 * [taylor]: Taking taylor expansion of 1 in y 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.110 * [backup-simplify]: Simplify 2.0 into 2.0 1.110 * [backup-simplify]: Simplify (* 1 1) into 1 1.110 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.111 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 1.111 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [backup-simplify]: Simplify x into x 1.111 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (* 1 1) into 1 1.112 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.112 * [taylor]: Taking taylor expansion of 2.0 in y 1.112 * [backup-simplify]: Simplify 2.0 into 2.0 1.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.112 * [taylor]: Taking taylor expansion of (* x y) in y 1.112 * [taylor]: Taking taylor expansion of x in y 1.112 * [backup-simplify]: Simplify x into x 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (* x 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.112 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (* 1 1) into 1 1.113 * [backup-simplify]: Simplify (/ 1 1) into 1 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.113 * [taylor]: Taking taylor expansion of y in x 1.113 * [backup-simplify]: Simplify y into y 1.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.113 * [taylor]: Taking taylor expansion of 2.0 in x 1.113 * [backup-simplify]: Simplify 2.0 into 2.0 1.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.113 * [taylor]: Taking taylor expansion of (* x y) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [taylor]: Taking taylor expansion of y in x 1.113 * [backup-simplify]: Simplify y into y 1.113 * [backup-simplify]: Simplify (* 0 y) into 0 1.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (* 1 1) into 1 1.114 * [backup-simplify]: Simplify (/ 1 1) into 1 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [backup-simplify]: Simplify y into y 1.114 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.114 * [taylor]: Taking taylor expansion of 2.0 in x 1.114 * [backup-simplify]: Simplify 2.0 into 2.0 1.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.114 * [taylor]: Taking taylor expansion of (* x y) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [backup-simplify]: Simplify y into y 1.114 * [backup-simplify]: Simplify (* 0 y) into 0 1.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.115 * [backup-simplify]: Simplify (+ 1 0) into 1 1.115 * [taylor]: Taking taylor expansion of 1 in y 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.116 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.116 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.116 * [taylor]: Taking taylor expansion of 2.0 in y 1.116 * [backup-simplify]: Simplify 2.0 into 2.0 1.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.116 * [backup-simplify]: Simplify (/ 1 1) into 1 1.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.118 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (* 1 1) into 1 1.119 * [backup-simplify]: Simplify (/ 1 1) into 1 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.119 * [backup-simplify]: Simplify 2.0 into 2.0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.120 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 1.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.120 * [taylor]: Taking taylor expansion of x in y 1.120 * [backup-simplify]: Simplify x into x 1.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (* 1 1) into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.120 * [taylor]: Taking taylor expansion of 2.0 in y 1.120 * [backup-simplify]: Simplify 2.0 into 2.0 1.120 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.120 * [taylor]: Taking taylor expansion of (* x y) in y 1.120 * [taylor]: Taking taylor expansion of x in y 1.121 * [backup-simplify]: Simplify x into x 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (* x 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (* 1 1) into 1 1.121 * [backup-simplify]: Simplify (/ 1 1) into 1 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.121 * [backup-simplify]: Simplify y into y 1.122 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.122 * [taylor]: Taking taylor expansion of 2.0 in x 1.122 * [backup-simplify]: Simplify 2.0 into 2.0 1.122 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.122 * [taylor]: Taking taylor expansion of (* x y) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [taylor]: Taking taylor expansion of y in x 1.122 * [backup-simplify]: Simplify y into y 1.122 * [backup-simplify]: Simplify (* 0 y) into 0 1.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.122 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (* 1 1) into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [backup-simplify]: Simplify y into y 1.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.123 * [taylor]: Taking taylor expansion of 2.0 in x 1.123 * [backup-simplify]: Simplify 2.0 into 2.0 1.123 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.123 * [taylor]: Taking taylor expansion of (* x y) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [backup-simplify]: Simplify y into y 1.123 * [backup-simplify]: Simplify (* 0 y) into 0 1.123 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.124 * [backup-simplify]: Simplify (+ 1 0) into 1 1.124 * [taylor]: Taking taylor expansion of 1 in y 1.124 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.125 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.125 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.125 * [taylor]: Taking taylor expansion of 2.0 in y 1.125 * [backup-simplify]: Simplify 2.0 into 2.0 1.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.127 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.127 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.128 * [backup-simplify]: Simplify 2.0 into 2.0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.128 * * * [progress]: simplifying candidates 1.130 * [simplify]: Simplifying: (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (* (sqrt (+ 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x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.131 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 (+ (* h1 h2) h0)) (* h2 h2)))) (exp (sqrt (+ (* h0 (+ (* h1 h2) h0)) (* 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) 1.166 * * [simplify]: iteration 2 : 5001 enodes (cost 952 ) 1.170 * * * [progress]: adding candidates to table 1.359 * [progress]: [Phase 3 of 3] Extracting. 1.360 * * [regime]: Finding splitpoints for: (# # #) 1.360 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.361 * * * * [regimes]: Trying to branch on y from (# # #) 1.378 * * * * [regimes]: Trying to branch on x from (# # #) 1.391 * * * [regime]: Found split indices: #