25.611 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.023 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)) 0.025 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.027 * * [simplify]: iteration 1 : 25 enodes (cost 4 ) 0.028 * * [simplify]: iteration 2 : 27 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 27 enodes (cost 4 ) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.071 * [backup-simplify]: Simplify (* x (+ 2.0 x)) into (* (+ x 2.0) x) 0.072 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.072 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [backup-simplify]: Simplify 2.0 into 2.0 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.072 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [backup-simplify]: Simplify 2.0 into 2.0 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.073 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 1 0)) into 2.0 0.074 * [backup-simplify]: Simplify 2.0 into 2.0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 1) (* 0 0))) into 1 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.083 * [backup-simplify]: Simplify (* (/ 1 x) (+ 2.0 (/ 1 x))) into (/ (+ (/ 1 x) 2.0) x) 0.083 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [backup-simplify]: Simplify 2.0 into 2.0 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of 2.0 in x 0.084 * [backup-simplify]: Simplify 2.0 into 2.0 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.086 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 0.086 * [backup-simplify]: Simplify 2.0 into 2.0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 0.095 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x)))) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 0.095 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.095 * [taylor]: Taking taylor expansion of -1 in x 0.095 * [backup-simplify]: Simplify -1 into -1 0.095 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.095 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of 2.0 in x 0.095 * [backup-simplify]: Simplify 2.0 into 2.0 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (- 1) into -1 0.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.096 * [backup-simplify]: Simplify (/ -1 1) into -1 0.096 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.096 * [taylor]: Taking taylor expansion of -1 in x 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.096 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of 2.0 in x 0.096 * [backup-simplify]: Simplify 2.0 into 2.0 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (- 1) into -1 0.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.097 * [backup-simplify]: Simplify (/ -1 1) into -1 0.098 * [backup-simplify]: Simplify (* -1 -1) into 1 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.100 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* -1 (/ 0 1)))) into 2.0 0.101 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.101 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 0.116 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.116 * [backup-simplify]: Simplify (+ (* y y) (* x (+ 2.0 x))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.116 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.116 * [taylor]: Taking taylor expansion of 2.0 in x 0.116 * [backup-simplify]: Simplify 2.0 into 2.0 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [backup-simplify]: Simplify x into x 0.116 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.116 * [taylor]: Taking taylor expansion of 2.0 in y 0.116 * [backup-simplify]: Simplify 2.0 into 2.0 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [backup-simplify]: Simplify x into x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [backup-simplify]: Simplify x into x 0.117 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.117 * [taylor]: Taking taylor expansion of 2.0 in y 0.117 * [backup-simplify]: Simplify 2.0 into 2.0 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [backup-simplify]: Simplify x into x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.117 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.117 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.117 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) 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 * [taylor]: Taking taylor expansion of (* 2.0 x) 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 x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.118 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.120 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.120 * [backup-simplify]: Simplify 2.0 into 2.0 0.120 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (+ 0 1) into 1 0.121 * [backup-simplify]: Simplify (+ 0 1) into 1 0.121 * [taylor]: Taking taylor expansion of 1 in x 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.123 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ 2.0 (/ 1 x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.123 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of 2.0 in x 0.124 * [backup-simplify]: Simplify 2.0 into 2.0 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [backup-simplify]: Simplify x into x 0.124 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.125 * [taylor]: Taking taylor expansion of 2.0 in y 0.125 * [backup-simplify]: Simplify 2.0 into 2.0 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [backup-simplify]: Simplify 2.0 into 2.0 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [backup-simplify]: Simplify x into x 0.126 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.127 * [taylor]: Taking taylor expansion of 1 in x 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.129 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.129 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of 2.0 in x 0.130 * [backup-simplify]: Simplify 2.0 into 2.0 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.134 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.134 * [backup-simplify]: Simplify 2.0 into 2.0 0.134 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.134 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x))))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.134 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.134 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in x 0.135 * [backup-simplify]: Simplify 2.0 into 2.0 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [backup-simplify]: Simplify x into x 0.136 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.136 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [backup-simplify]: Simplify 2.0 into 2.0 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [backup-simplify]: Simplify x into x 0.136 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.136 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [backup-simplify]: Simplify x into x 0.137 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.137 * [backup-simplify]: Simplify 2.0 into 2.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [taylor]: Taking taylor expansion of 1 in x 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.140 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.140 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.141 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 2.0 in x 0.141 * [backup-simplify]: Simplify 2.0 into 2.0 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.145 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.146 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.146 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.147 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.147 * * * [progress]: simplifying candidates 0.147 * [simplify]: Simplifying: (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (* (exp (* y y)) (exp (* x (+ 2.0 x)))) (log (+ (* y y) (* x (+ 2.0 x)))) (exp (+ (* y y) (* x (+ 2.0 x)))) (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))) (cbrt (+ (* y y) (* x (+ 2.0 x)))) (* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (+ (pow (* y y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* (* y y) (* x (+ 2.0 x))))) (- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x 2.0)) (+ (* y y) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.148 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 h0)) (+ (log h0) (log (+ h1 h0))) (log (* h0 (+ h1 h0))) (exp (* h0 (+ h1 h0))) (* (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h0 (+ h1 h0))) (cbrt (* h0 (+ h1 h0)))) (cbrt (* h0 (+ h1 h0))) (* (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 h0) (* h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h0 (sqrt (+ h1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* h0 (+ (pow h1 3) (pow h0 3))) (* h0 (- (* h1 h1) (* h0 h0))) (* (exp (* h2 h2)) (exp (* h0 (+ h1 h0)))) (log (+ (* h2 h2) (* h0 (+ h1 h0)))) (exp (+ (* h2 h2) (* h0 (+ h1 h0)))) (* (cbrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (cbrt (+ (* h2 h2) (* h0 (+ h1 h0))))) (cbrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (* (* (+ (* h2 h2) (* h0 (+ h1 h0))) (+ (* h2 h2) (* h0 (+ h1 h0)))) (+ (* h2 h2) (* h0 (+ h1 h0)))) (sqrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (sqrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (+ (pow (* h2 h2) 3) (pow (* h0 (+ h1 h0)) 3)) (+ (* (* h2 h2) (* h2 h2)) (- (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* (* h2 h2) (* h0 (+ h1 h0))))) (- (* (* h2 h2) (* h2 h2)) (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0)))) (- (* h2 h2) (* h0 (+ h1 h0))) (+ (* h2 h2) (* h0 h1)) (+ (* h2 h2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) 0.156 * * [simplify]: iteration 0 : 206 enodes (cost 183 ) 0.162 * * [simplify]: iteration 1 : 1038 enodes (cost 169 ) 0.187 * * [simplify]: iteration 2 : 5002 enodes (cost 169 ) 0.189 * * * [progress]: adding candidates to table 0.253 * * [progress]: iteration 2 / 4 0.253 * * * [progress]: picking best candidate 0.255 * * * * [pick]: Picked # 0.255 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.290 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.301 * [backup-simplify]: Simplify (+ (+ (* y y) (* 2.0 x)) (* x x)) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.301 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.301 * [taylor]: Taking taylor expansion of 2.0 in y 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.302 * [backup-simplify]: Simplify x into x 0.302 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.302 * [taylor]: Taking taylor expansion of 2.0 in y 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [backup-simplify]: Simplify x into x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.302 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.302 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.302 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.302 * [taylor]: Taking taylor expansion of 2.0 in x 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.303 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.305 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.305 * [backup-simplify]: Simplify 2.0 into 2.0 0.305 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.307 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.308 * [backup-simplify]: Simplify (+ (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.308 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of 2.0 in x 0.309 * [backup-simplify]: Simplify 2.0 into 2.0 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.310 * [taylor]: Taking taylor expansion of 2.0 in y 0.310 * [backup-simplify]: Simplify 2.0 into 2.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [backup-simplify]: Simplify x into x 0.310 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [backup-simplify]: Simplify x into x 0.310 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.311 * [taylor]: Taking taylor expansion of 2.0 in y 0.311 * [backup-simplify]: Simplify 2.0 into 2.0 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (+ 0 1) into 1 0.311 * [taylor]: Taking taylor expansion of 1 in x 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.314 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.314 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [backup-simplify]: Simplify 2.0 into 2.0 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ 1 0) into 1 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.319 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.319 * [backup-simplify]: Simplify 2.0 into 2.0 0.319 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.319 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.319 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.319 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [backup-simplify]: Simplify y into y 0.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of 2.0 in x 0.320 * [backup-simplify]: Simplify 2.0 into 2.0 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.321 * [taylor]: Taking taylor expansion of 2.0 in y 0.321 * [backup-simplify]: Simplify 2.0 into 2.0 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [backup-simplify]: Simplify x into x 0.321 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.321 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [backup-simplify]: Simplify x into x 0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.322 * [taylor]: Taking taylor expansion of 2.0 in y 0.322 * [backup-simplify]: Simplify 2.0 into 2.0 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.323 * [backup-simplify]: Simplify (+ 0 1) into 1 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.325 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.326 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.326 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [backup-simplify]: Simplify 2.0 into 2.0 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.331 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.331 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.331 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.332 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.332 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.332 * [backup-simplify]: Simplify (+ (* y y) (* 2.0 x)) into (+ (* 2.0 x) (pow y 2)) 0.332 * [approximate]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in (y x) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.332 * [taylor]: Taking taylor expansion of 2.0 in x 0.332 * [backup-simplify]: Simplify 2.0 into 2.0 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.332 * [taylor]: Taking taylor expansion of 2.0 in y 0.332 * [backup-simplify]: Simplify 2.0 into 2.0 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [backup-simplify]: Simplify x into x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.333 * [taylor]: Taking taylor expansion of 2.0 in y 0.333 * [backup-simplify]: Simplify 2.0 into 2.0 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [backup-simplify]: Simplify x into x 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.333 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.333 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.333 * [taylor]: Taking taylor expansion of 2.0 in x 0.333 * [backup-simplify]: Simplify 2.0 into 2.0 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.335 * [backup-simplify]: Simplify 2.0 into 2.0 0.335 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 0 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in x 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1))) into (+ (* 2.0 x) (pow y 2)) 0.338 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) 0.338 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in (y x) around 0 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [backup-simplify]: Simplify y into y 0.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of 2.0 in x 0.339 * [backup-simplify]: Simplify 2.0 into 2.0 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.340 * [taylor]: Taking taylor expansion of 2.0 in y 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [backup-simplify]: Simplify x into x 0.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.340 * [taylor]: Taking taylor expansion of 2.0 in y 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [backup-simplify]: Simplify x into x 0.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.341 * [backup-simplify]: Simplify (+ 1 0) into 1 0.341 * [taylor]: Taking taylor expansion of 1 in x 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.343 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of 2.0 in x 0.343 * [backup-simplify]: Simplify 2.0 into 2.0 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.343 * [backup-simplify]: Simplify 2.0 into 2.0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2))) into (+ (* 2.0 x) (pow y 2)) 0.349 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) into (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) 0.349 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in (y x) around 0 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [backup-simplify]: Simplify y into y 0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 2.0 in x 0.349 * [backup-simplify]: Simplify 2.0 into 2.0 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.350 * [taylor]: Taking taylor expansion of 2.0 in y 0.350 * [backup-simplify]: Simplify 2.0 into 2.0 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [backup-simplify]: Simplify x into x 0.350 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.351 * [taylor]: Taking taylor expansion of 2.0 in y 0.351 * [backup-simplify]: Simplify 2.0 into 2.0 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [backup-simplify]: Simplify x into x 0.351 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.353 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.353 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 (/ 1 x)))) into (- (* 2.0 (/ 1 x))) 0.353 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of 2.0 in x 0.353 * [backup-simplify]: Simplify 2.0 into 2.0 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.354 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.354 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2))) into (+ (* 2.0 x) (pow y 2)) 0.360 * * * [progress]: simplifying candidates 0.360 * [simplify]: Simplifying: (* (* (exp (* y y)) (exp (* 2.0 x))) (exp (* x x))) (* (exp (+ (* y y) (* 2.0 x))) (exp (* x x))) (log (+ (+ (* y y) (* 2.0 x)) (* x x))) (exp (+ (+ (* y y) (* 2.0 x)) (* x x))) (* (cbrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (cbrt (+ (+ (* y y) (* 2.0 x)) (* x x)))) (cbrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (* (* (+ (+ (* y y) (* 2.0 x)) (* x x)) (+ (+ (* y y) (* 2.0 x)) (* x x))) (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (+ (pow (+ (* y y) (* 2.0 x)) 3) (pow (* x x) 3)) (+ (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (- (* (* x x) (* x x)) (* (+ (* y y) (* 2.0 x)) (* x x)))) (- (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (* (* x x) (* x x))) (- (+ (* y y) (* 2.0 x)) (* x x)) (+ (* 2.0 x) (* x x)) (* (exp (* y y)) (exp (* 2.0 x))) (log (+ (* y y) (* 2.0 x))) (exp (+ (* y y) (* 2.0 x))) (* (cbrt (+ (* y y) (* 2.0 x))) (cbrt (+ (* y y) (* 2.0 x)))) (cbrt (+ (* y y) (* 2.0 x))) (* (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (+ (* y y) (* 2.0 x))) (sqrt (+ (* y y) (* 2.0 x))) (sqrt (+ (* y y) (* 2.0 x))) (+ (pow (* y y) 3) (pow (* 2.0 x) 3)) (+ (* (* y y) (* y y)) (- (* (* 2.0 x) (* 2.0 x)) (* (* y y) (* 2.0 x)))) (- (* (* y y) (* y y)) (* (* 2.0 x) (* 2.0 x))) (- (* y y) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) 0.361 * [simplify]: Sending expressions to egg_math: (* (* (exp (* h0 h0)) (exp (* h1 h2))) (exp (* h2 h2))) (* (exp (+ (* h0 h0) (* h1 h2))) (exp (* h2 h2))) (log (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (exp (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (* (cbrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (cbrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (* (* (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (+ (pow (+ (* h0 h0) (* h1 h2)) 3) (pow (* h2 h2) 3)) (+ (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (- (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (* (* h2 h2) (* h2 h2))) (- (+ (* h0 h0) (* h1 h2)) (* h2 h2)) (+ (* h1 h2) (* h2 h2)) (* (exp (* h0 h0)) (exp (* h1 h2))) (log (+ (* h0 h0) (* h1 h2))) (exp (+ (* h0 h0) (* h1 h2))) (* (cbrt (+ (* h0 h0) (* h1 h2))) (cbrt (+ (* h0 h0) (* h1 h2)))) (cbrt (+ (* h0 h0) (* h1 h2))) (* (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (+ (* h0 h0) (* h1 h2))) (sqrt (+ (* h0 h0) (* h1 h2))) (sqrt (+ (* h0 h0) (* h1 h2))) (+ (pow (* h0 h0) 3) (pow (* h1 h2) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h2) (* h1 h2)) (* (* h0 h0) (* h1 h2)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h2) (* h1 h2))) (- (* h0 h0) (* h1 h2)) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (* h1 h2) (pow h0 2)) (+ (* h1 h2) (pow h0 2)) (+ (* h1 h2) (pow h0 2)) 0.364 * * [simplify]: iteration 0 : 180 enodes (cost 193 ) 0.368 * * [simplify]: iteration 1 : 815 enodes (cost 175 ) 0.382 * * [simplify]: iteration 2 : 3049 enodes (cost 170 ) 0.441 * * [simplify]: iteration 3 : 5001 enodes (cost 170 ) 0.442 * * * [progress]: adding candidates to table 0.498 * * [progress]: iteration 3 / 4 0.498 * * * [progress]: picking best candidate 0.499 * * * * [pick]: Picked # 0.500 * * * [progress]: localizing error 0.512 * * * [progress]: generating rewritten candidates 0.512 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.650 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.679 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.708 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.718 * * * [progress]: generating series expansions 0.718 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.718 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.718 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.718 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.719 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.719 * [taylor]: Taking taylor expansion of 2.0 in x 0.719 * [backup-simplify]: Simplify 2.0 into 2.0 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [backup-simplify]: Simplify y into y 0.719 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [backup-simplify]: Simplify x into x 0.719 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.719 * [taylor]: Taking taylor expansion of 2.0 in y 0.719 * [backup-simplify]: Simplify 2.0 into 2.0 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [backup-simplify]: Simplify x into x 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [backup-simplify]: Simplify x into x 0.719 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.719 * [taylor]: Taking taylor expansion of 2.0 in y 0.719 * [backup-simplify]: Simplify 2.0 into 2.0 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [backup-simplify]: Simplify x into x 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.719 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.719 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.719 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.719 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.720 * [taylor]: Taking taylor expansion of 2.0 in x 0.720 * [backup-simplify]: Simplify 2.0 into 2.0 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.723 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.723 * [backup-simplify]: Simplify 2.0 into 2.0 0.723 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (+ 0 1) into 1 0.724 * [backup-simplify]: Simplify (+ 0 1) into 1 0.724 * [taylor]: Taking taylor expansion of 1 in x 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.725 * [backup-simplify]: Simplify (+ 1 0) into 1 0.725 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.726 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) (* (/ 1 x) (/ 1 x)))) (sqrt (+ (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) (* (/ 1 x) (/ 1 x))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.726 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (* 1 1) into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [backup-simplify]: Simplify y into y 0.727 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.727 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.727 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.727 * [taylor]: Taking taylor expansion of 2.0 in x 0.727 * [backup-simplify]: Simplify 2.0 into 2.0 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [backup-simplify]: Simplify x into x 0.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.728 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.728 * [taylor]: Taking taylor expansion of 2.0 in y 0.728 * [backup-simplify]: Simplify 2.0 into 2.0 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [backup-simplify]: Simplify x into x 0.728 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [backup-simplify]: Simplify x into x 0.728 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.728 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.729 * [taylor]: Taking taylor expansion of 2.0 in y 0.729 * [backup-simplify]: Simplify 2.0 into 2.0 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [backup-simplify]: Simplify x into x 0.729 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.729 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (+ 0 1) into 1 0.730 * [taylor]: Taking taylor expansion of 1 in x 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.732 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.732 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of 2.0 in x 0.733 * [backup-simplify]: Simplify 2.0 into 2.0 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.735 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [taylor]: Taking taylor expansion of 0 in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.737 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.737 * [backup-simplify]: Simplify 2.0 into 2.0 0.737 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.738 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x))))) (sqrt (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.738 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.738 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [backup-simplify]: Simplify y into y 0.738 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.738 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of 2.0 in x 0.739 * [backup-simplify]: Simplify 2.0 into 2.0 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [backup-simplify]: Simplify x into x 0.739 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.739 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.740 * [taylor]: Taking taylor expansion of 2.0 in y 0.740 * [backup-simplify]: Simplify 2.0 into 2.0 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [backup-simplify]: Simplify x into x 0.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.740 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [backup-simplify]: Simplify x into x 0.740 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.740 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (* 1 1) into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.741 * [taylor]: Taking taylor expansion of 2.0 in y 0.741 * [backup-simplify]: Simplify 2.0 into 2.0 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [backup-simplify]: Simplify x into x 0.741 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.741 * [backup-simplify]: Simplify (+ 0 1) into 1 0.741 * [backup-simplify]: Simplify (+ 1 0) into 1 0.741 * [taylor]: Taking taylor expansion of 1 in x 0.741 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [taylor]: Taking taylor expansion of 0 in x 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.744 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.744 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.744 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.744 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.745 * [backup-simplify]: Simplify (/ 1 1) into 1 0.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of 2.0 in x 0.745 * [backup-simplify]: Simplify 2.0 into 2.0 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ 1 1) into 1 0.745 * [backup-simplify]: Simplify (+ 1 0) into 1 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [taylor]: Taking taylor expansion of 0 in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.749 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.749 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.749 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.750 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.750 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.750 * [backup-simplify]: Simplify (+ (+ (* y y) (* 2.0 x)) (* x x)) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.750 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.750 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.750 * [taylor]: Taking taylor expansion of 2.0 in x 0.750 * [backup-simplify]: Simplify 2.0 into 2.0 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.751 * [backup-simplify]: Simplify y into y 0.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [backup-simplify]: Simplify x into x 0.751 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.751 * [taylor]: Taking taylor expansion of 2.0 in y 0.751 * [backup-simplify]: Simplify 2.0 into 2.0 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [backup-simplify]: Simplify x into x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [backup-simplify]: Simplify x into x 0.751 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.751 * [taylor]: Taking taylor expansion of 2.0 in y 0.751 * [backup-simplify]: Simplify 2.0 into 2.0 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [backup-simplify]: Simplify x into x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.751 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.751 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.751 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.751 * [taylor]: Taking taylor expansion of 2.0 in x 0.751 * [backup-simplify]: Simplify 2.0 into 2.0 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [taylor]: Taking taylor expansion of 0 in x 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.754 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.754 * [backup-simplify]: Simplify 2.0 into 2.0 0.754 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.755 * [backup-simplify]: Simplify (* 1 1) into 1 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.755 * [taylor]: Taking taylor expansion of 1 in x 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.756 * [backup-simplify]: Simplify (+ 1 0) into 1 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.757 * [backup-simplify]: Simplify (+ (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.757 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (* 1 1) into 1 0.757 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of 2.0 in x 0.758 * [backup-simplify]: Simplify 2.0 into 2.0 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [backup-simplify]: Simplify x into x 0.758 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.759 * [taylor]: Taking taylor expansion of 2.0 in y 0.759 * [backup-simplify]: Simplify 2.0 into 2.0 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [backup-simplify]: Simplify x into x 0.759 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [backup-simplify]: Simplify x into x 0.759 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.759 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.760 * [taylor]: Taking taylor expansion of 2.0 in y 0.760 * [backup-simplify]: Simplify 2.0 into 2.0 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.760 * [backup-simplify]: Simplify x into x 0.760 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.760 * [backup-simplify]: Simplify (+ 1 0) into 1 0.760 * [backup-simplify]: Simplify (+ 0 1) into 1 0.760 * [taylor]: Taking taylor expansion of 1 in x 0.760 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [taylor]: Taking taylor expansion of 0 in x 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.766 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.766 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (* 1 1) into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.767 * [taylor]: Taking taylor expansion of 2.0 in x 0.767 * [backup-simplify]: Simplify 2.0 into 2.0 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [backup-simplify]: Simplify (+ 1 0) into 1 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.769 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [taylor]: Taking taylor expansion of 0 in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.771 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.771 * [backup-simplify]: Simplify 2.0 into 2.0 0.771 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.771 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.771 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.771 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.772 * [backup-simplify]: Simplify y into y 0.772 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.772 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.772 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of 2.0 in x 0.772 * [backup-simplify]: Simplify 2.0 into 2.0 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [backup-simplify]: Simplify x into x 0.773 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.773 * [taylor]: Taking taylor expansion of 2.0 in y 0.773 * [backup-simplify]: Simplify 2.0 into 2.0 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [backup-simplify]: Simplify x into x 0.773 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.773 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [backup-simplify]: Simplify x into x 0.774 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.774 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.774 * [taylor]: Taking taylor expansion of 2.0 in y 0.774 * [backup-simplify]: Simplify 2.0 into 2.0 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [backup-simplify]: Simplify x into x 0.774 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.775 * [backup-simplify]: Simplify (+ 0 1) into 1 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.775 * [taylor]: Taking taylor expansion of 1 in x 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [taylor]: Taking taylor expansion of 0 in x 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.777 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.777 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.778 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.778 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (* 1 1) into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.778 * [taylor]: Taking taylor expansion of 2.0 in x 0.778 * [backup-simplify]: Simplify 2.0 into 2.0 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (+ 1 0) into 1 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [taylor]: Taking taylor expansion of 0 in x 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.782 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.783 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.783 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.784 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.784 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.784 * [backup-simplify]: Simplify (+ (+ (* y y) (* 2.0 x)) (* x x)) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.784 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.784 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.784 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.784 * [taylor]: Taking taylor expansion of 2.0 in x 0.784 * [backup-simplify]: Simplify 2.0 into 2.0 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.784 * [backup-simplify]: Simplify y into y 0.784 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [backup-simplify]: Simplify x into x 0.784 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.784 * [taylor]: Taking taylor expansion of 2.0 in y 0.784 * [backup-simplify]: Simplify 2.0 into 2.0 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [backup-simplify]: Simplify x into x 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [backup-simplify]: Simplify x into x 0.785 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.785 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.785 * [taylor]: Taking taylor expansion of 2.0 in y 0.785 * [backup-simplify]: Simplify 2.0 into 2.0 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [backup-simplify]: Simplify x into x 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.785 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.785 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.785 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.785 * [taylor]: Taking taylor expansion of 2.0 in x 0.785 * [backup-simplify]: Simplify 2.0 into 2.0 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [taylor]: Taking taylor expansion of 0 in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.788 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.788 * [backup-simplify]: Simplify 2.0 into 2.0 0.788 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.789 * [backup-simplify]: Simplify (* 1 1) into 1 0.789 * [backup-simplify]: Simplify (+ 0 1) into 1 0.789 * [backup-simplify]: Simplify (+ 0 1) into 1 0.789 * [taylor]: Taking taylor expansion of 1 in x 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.790 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.791 * [backup-simplify]: Simplify (+ (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.791 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [backup-simplify]: Simplify y into y 0.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.792 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.792 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.792 * [taylor]: Taking taylor expansion of 2.0 in x 0.792 * [backup-simplify]: Simplify 2.0 into 2.0 0.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.792 * [taylor]: Taking taylor expansion of x in y 0.792 * [backup-simplify]: Simplify x into x 0.792 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.792 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.793 * [taylor]: Taking taylor expansion of 2.0 in y 0.793 * [backup-simplify]: Simplify 2.0 into 2.0 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [backup-simplify]: Simplify x into x 0.793 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [backup-simplify]: Simplify x into x 0.793 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.793 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.794 * [taylor]: Taking taylor expansion of 2.0 in y 0.794 * [backup-simplify]: Simplify 2.0 into 2.0 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [backup-simplify]: Simplify x into x 0.794 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.794 * [backup-simplify]: Simplify (+ 1 0) into 1 0.794 * [backup-simplify]: Simplify (+ 0 1) into 1 0.795 * [taylor]: Taking taylor expansion of 1 in x 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [taylor]: Taking taylor expansion of 0 in x 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.797 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.797 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of 2.0 in x 0.798 * [backup-simplify]: Simplify 2.0 into 2.0 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [backup-simplify]: Simplify (+ 1 0) into 1 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [taylor]: Taking taylor expansion of 0 in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.802 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.802 * [backup-simplify]: Simplify 2.0 into 2.0 0.802 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.802 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.802 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.802 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (* 1 1) into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [backup-simplify]: Simplify y into y 0.803 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.803 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of 2.0 in x 0.803 * [backup-simplify]: Simplify 2.0 into 2.0 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.804 * [backup-simplify]: Simplify x into x 0.804 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.804 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.804 * [taylor]: Taking taylor expansion of 2.0 in y 0.804 * [backup-simplify]: Simplify 2.0 into 2.0 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.804 * [taylor]: Taking taylor expansion of x in y 0.804 * [backup-simplify]: Simplify x into x 0.804 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.804 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.804 * [taylor]: Taking taylor expansion of x in y 0.804 * [backup-simplify]: Simplify x into x 0.804 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.805 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.805 * [taylor]: Taking taylor expansion of 2.0 in y 0.805 * [backup-simplify]: Simplify 2.0 into 2.0 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.805 * [backup-simplify]: Simplify x into x 0.805 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.805 * [backup-simplify]: Simplify (+ 0 1) into 1 0.806 * [backup-simplify]: Simplify (+ 1 0) into 1 0.806 * [taylor]: Taking taylor expansion of 1 in x 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [taylor]: Taking taylor expansion of 0 in x 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.808 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.808 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.808 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.808 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of 2.0 in x 0.809 * [backup-simplify]: Simplify 2.0 into 2.0 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [backup-simplify]: Simplify (+ 1 0) into 1 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.812 * [backup-simplify]: Simplify (- 0) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [taylor]: Taking taylor expansion of 0 in x 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.813 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.814 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.814 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.814 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.815 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.815 * [backup-simplify]: Simplify (+ (* y y) (* 2.0 x)) into (+ (* 2.0 x) (pow y 2)) 0.815 * [approximate]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in (y x) around 0 0.815 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.815 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.815 * [taylor]: Taking taylor expansion of 2.0 in x 0.815 * [backup-simplify]: Simplify 2.0 into 2.0 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [backup-simplify]: Simplify y into y 0.815 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.815 * [taylor]: Taking taylor expansion of 2.0 in y 0.815 * [backup-simplify]: Simplify 2.0 into 2.0 0.815 * [taylor]: Taking taylor expansion of x in y 0.815 * [backup-simplify]: Simplify x into x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.815 * [taylor]: Taking taylor expansion of 2.0 in y 0.815 * [backup-simplify]: Simplify 2.0 into 2.0 0.815 * [taylor]: Taking taylor expansion of x in y 0.815 * [backup-simplify]: Simplify x into x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.815 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.815 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.815 * [taylor]: Taking taylor expansion of 2.0 in x 0.815 * [backup-simplify]: Simplify 2.0 into 2.0 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [taylor]: Taking taylor expansion of 0 in x 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.817 * [backup-simplify]: Simplify 2.0 into 2.0 0.818 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.818 * [backup-simplify]: Simplify (* 1 1) into 1 0.818 * [backup-simplify]: Simplify (+ 0 1) into 1 0.818 * [taylor]: Taking taylor expansion of 1 in x 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [taylor]: Taking taylor expansion of 0 in x 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1))) into (+ (* 2.0 x) (pow y 2)) 0.821 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) 0.821 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in (y x) around 0 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [backup-simplify]: Simplify y into y 0.821 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.821 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.821 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of 2.0 in x 0.821 * [backup-simplify]: Simplify 2.0 into 2.0 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.822 * [taylor]: Taking taylor expansion of 2.0 in y 0.822 * [backup-simplify]: Simplify 2.0 into 2.0 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [backup-simplify]: Simplify x into x 0.822 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (* 1 1) into 1 0.823 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.823 * [taylor]: Taking taylor expansion of 2.0 in y 0.823 * [backup-simplify]: Simplify 2.0 into 2.0 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [backup-simplify]: Simplify x into x 0.823 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.823 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [taylor]: Taking taylor expansion of 1 in x 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [taylor]: Taking taylor expansion of 0 in x 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.825 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.825 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.825 * [taylor]: Taking taylor expansion of 2.0 in x 0.825 * [backup-simplify]: Simplify 2.0 into 2.0 0.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.826 * [backup-simplify]: Simplify 2.0 into 2.0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.828 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [taylor]: Taking taylor expansion of 0 in x 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in x 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2))) into (+ (* 2.0 x) (pow y 2)) 0.831 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) into (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) 0.831 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in (y x) around 0 0.831 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [backup-simplify]: Simplify y into y 0.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.831 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.831 * [taylor]: Taking taylor expansion of 2.0 in x 0.831 * [backup-simplify]: Simplify 2.0 into 2.0 0.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.832 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (* 1 1) into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.832 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.832 * [taylor]: Taking taylor expansion of 2.0 in y 0.832 * [backup-simplify]: Simplify 2.0 into 2.0 0.832 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.832 * [backup-simplify]: Simplify x into x 0.832 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.832 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.833 * [taylor]: Taking taylor expansion of 2.0 in y 0.833 * [backup-simplify]: Simplify 2.0 into 2.0 0.833 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [backup-simplify]: Simplify x into x 0.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.833 * [backup-simplify]: Simplify (+ 1 0) into 1 0.833 * [taylor]: Taking taylor expansion of 1 in x 0.833 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [taylor]: Taking taylor expansion of 0 in x 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.835 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.836 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 (/ 1 x)))) into (- (* 2.0 (/ 1 x))) 0.836 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.836 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.836 * [taylor]: Taking taylor expansion of 2.0 in x 0.836 * [backup-simplify]: Simplify 2.0 into 2.0 0.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.836 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.837 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [taylor]: Taking taylor expansion of 0 in x 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.842 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [taylor]: Taking taylor expansion of 0 in x 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2))) into (+ (* 2.0 x) (pow y 2)) 0.843 * * * [progress]: simplifying candidates 0.844 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* y y) (* 2.0 x)) (* x x)) (+ (+ (* y y) (* 2.0 x)) (* x x))) (* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) 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(* y y) (* 2.0 x)) (* x x)) (+ (+ (* y y) (* 2.0 x)) (* x x))) (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (+ (pow (+ (* y y) (* 2.0 x)) 3) (pow (* x x) 3)) (+ (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (- (* (* x x) (* x x)) (* (+ (* y y) (* 2.0 x)) (* x x)))) (- (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (* (* x x) (* x x))) (- (+ (* y y) (* 2.0 x)) (* x x)) (+ (* 2.0 x) (* x x)) (* (* (exp (* y y)) (exp (* 2.0 x))) (exp (* x x))) (* (exp (+ (* y y) (* 2.0 x))) (exp (* x x))) (log (+ (+ (* y y) (* 2.0 x)) (* x x))) (exp (+ (+ (* y y) (* 2.0 x)) (* x x))) (* (cbrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (cbrt (+ (+ (* y y) (* 2.0 x)) (* x x)))) (cbrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (* (* (+ (+ (* y y) (* 2.0 x)) (* x x)) (+ (+ (* y y) (* 2.0 x)) (* x x))) (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (+ (pow (+ (* y y) (* 2.0 x)) 3) (pow (* x x) 3)) (+ (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (- (* (* x x) (* x x)) (* (+ (* y y) (* 2.0 x)) (* x x)))) (- (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (* (* x x) (* x x))) (- (+ (* y y) (* 2.0 x)) (* x x)) (+ (* 2.0 x) (* x x)) (* (exp (* y y)) (exp (* 2.0 x))) (log (+ (* y y) (* 2.0 x))) (exp (+ (* y y) (* 2.0 x))) (* (cbrt (+ (* y y) (* 2.0 x))) (cbrt (+ (* y y) (* 2.0 x)))) (cbrt (+ (* y y) (* 2.0 x))) (* (* (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x))) (+ (* y y) (* 2.0 x))) (sqrt (+ (* y y) (* 2.0 x))) (sqrt (+ (* y y) (* 2.0 x))) (+ (pow (* y y) 3) (pow (* 2.0 x) 3)) (+ (* (* y y) (* y y)) (- (* (* 2.0 x) (* 2.0 x)) (* (* y y) (* 2.0 x)))) (- (* (* y y) (* y y)) (* (* 2.0 x) (* 2.0 x))) (- (* y y) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) 0.845 * [simplify]: Sending expressions to egg_math: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (* (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (+ 1 1) (+ (log (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (log (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (log (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (exp (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (* (* (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (* (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (* (cbrt (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (cbrt (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))))) (cbrt (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (* (* (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (* (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (sqrt (* (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (* (sqrt (+ (pow (+ (* h0 h0) (* h1 h2)) 3) (pow (* h2 h2) 3))) (sqrt (+ (pow (+ (* h0 h0) (* h1 h2)) 3) (pow (* h2 h2) 3)))) (* (sqrt (+ (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (sqrt (+ (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h2)) (* h2 h2)))))) (* (sqrt (+ (pow (+ (* h0 h0) (* h1 h2)) 3) (pow (* h2 h2) 3))) (sqrt (- (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (* (* h2 h2) (* h2 h2))))) (* (sqrt (+ (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h2)) (* h2 h2))))) (sqrt (- (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (* (sqrt (- (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (* (* h2 h2) (* h2 h2)))) (sqrt (+ (pow (+ (* h0 h0) (* h1 h2)) 3) (pow (* h2 h2) 3)))) (* (sqrt (- (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* 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(+ (* h0 h0) (* h1 h2)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h2)) (* h2 h2))) (+ (pow (+ (* h0 h0) (* h1 h2)) 3) (pow (* h2 h2) 3)) (+ (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h2)) (* h2 h2)))) (- (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (* (* h2 h2) (* h2 h2))) (- (+ (* h0 h0) (* h1 h2)) (* h2 h2)) (+ (* h1 h2) (* h2 h2)) (* (exp (* h0 h0)) (exp (* h1 h2))) (log (+ (* h0 h0) (* h1 h2))) (exp (+ (* h0 h0) (* h1 h2))) (* (cbrt (+ (* h0 h0) (* h1 h2))) (cbrt (+ (* h0 h0) (* h1 h2)))) (cbrt (+ (* h0 h0) (* h1 h2))) (* (* (+ (* h0 h0) (* h1 h2)) (+ (* h0 h0) (* h1 h2))) (+ (* h0 h0) (* h1 h2))) (sqrt (+ (* h0 h0) (* h1 h2))) (sqrt (+ (* h0 h0) (* h1 h2))) (+ (pow (* h0 h0) 3) (pow (* h1 h2) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h2) (* h1 h2)) (* (* h0 h0) (* h1 h2)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h2) (* h1 h2))) (- (* h0 h0) (* h1 h2)) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (pow h2 2) (+ (* h1 h2) (pow h0 2))) (+ (* h1 h2) (pow h0 2)) (+ (* h1 h2) (pow h0 2)) (+ (* h1 h2) (pow h0 2)) 0.851 * * [simplify]: iteration 0 : 273 enodes (cost 955 ) 0.857 * * [simplify]: iteration 1 : 1251 enodes (cost 860 ) 0.882 * * [simplify]: iteration 2 : 5001 enodes (cost 828 ) 0.886 * * * [progress]: adding candidates to table 1.081 * * [progress]: iteration 4 / 4 1.081 * * * [progress]: picking best candidate 1.084 * * * * [pick]: Picked # 1.084 * * * [progress]: localizing error 1.102 * * * [progress]: generating rewritten candidates 1.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.459 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.562 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.594 * * * [progress]: generating series expansions 1.594 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.595 * [backup-simplify]: Simplify (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) into (/ (- (pow y 4) (* 4.0 (pow x 2))) (- (pow y 2) (* 2.0 x))) 1.595 * [approximate]: Taking taylor expansion of (/ (- (pow y 4) (* 4.0 (pow x 2))) (- (pow y 2) (* 2.0 x))) in (x y) around 0 1.595 * [taylor]: Taking taylor expansion of (/ (- (pow y 4) (* 4.0 (pow x 2))) (- (pow y 2) (* 2.0 x))) in y 1.595 * [taylor]: Taking taylor expansion of (- (pow y 4) (* 4.0 (pow x 2))) in y 1.595 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in y 1.595 * [taylor]: Taking taylor expansion of 4.0 in y 1.595 * [backup-simplify]: Simplify 4.0 into 4.0 1.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.595 * [taylor]: Taking taylor expansion of x in y 1.595 * [backup-simplify]: Simplify x into x 1.595 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in y 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.595 * [taylor]: Taking taylor expansion of 2.0 in y 1.595 * [backup-simplify]: Simplify 2.0 into 2.0 1.595 * [taylor]: Taking taylor expansion of x in y 1.595 * [backup-simplify]: Simplify x into x 1.595 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.595 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 1.595 * [backup-simplify]: Simplify (- (* 4.0 (pow x 2))) into (- (* 4.0 (pow x 2))) 1.596 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow x 2)))) into (- (* 4.0 (pow x 2))) 1.596 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.596 * [backup-simplify]: Simplify (- (* 2.0 x)) into (- (* 2.0 x)) 1.596 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 x))) into (- (* 2.0 x)) 1.596 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow x 2))) (- (* 2.0 x))) into (* 2.0 x) 1.596 * [taylor]: Taking taylor expansion of (/ (- (pow y 4) (* 4.0 (pow x 2))) (- (pow y 2) (* 2.0 x))) in x 1.596 * [taylor]: Taking taylor expansion of (- (pow y 4) (* 4.0 (pow x 2))) in x 1.596 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.596 * [backup-simplify]: Simplify y into y 1.596 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 1.596 * [taylor]: Taking taylor expansion of 4.0 in x 1.596 * [backup-simplify]: Simplify 4.0 into 4.0 1.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.596 * [backup-simplify]: Simplify y into y 1.596 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.596 * [taylor]: Taking taylor expansion of 2.0 in x 1.596 * [backup-simplify]: Simplify 2.0 into 2.0 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.596 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.596 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 1.597 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.597 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.598 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 1.598 * [taylor]: Taking taylor expansion of (/ (- (pow y 4) (* 4.0 (pow x 2))) (- (pow y 2) (* 2.0 x))) in x 1.598 * [taylor]: Taking taylor expansion of (- (pow y 4) (* 4.0 (pow x 2))) in x 1.598 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.598 * [taylor]: Taking taylor expansion of y in x 1.598 * [backup-simplify]: Simplify y into y 1.598 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 1.598 * [taylor]: Taking taylor expansion of 4.0 in x 1.598 * [backup-simplify]: Simplify 4.0 into 4.0 1.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.598 * [taylor]: Taking taylor expansion of y in x 1.598 * [backup-simplify]: Simplify y into y 1.598 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.598 * [taylor]: Taking taylor expansion of 2.0 in x 1.598 * [backup-simplify]: Simplify 2.0 into 2.0 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.598 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.599 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 1.599 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.599 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.599 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.599 * [taylor]: Taking taylor expansion of y in y 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.600 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.601 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.601 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.602 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.602 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ (- 2.0) (pow y 2))))) into 2.0 1.602 * [taylor]: Taking taylor expansion of 2.0 in y 1.602 * [backup-simplify]: Simplify 2.0 into 2.0 1.602 * [backup-simplify]: Simplify 2.0 into 2.0 1.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.603 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.604 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.604 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.604 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (- (/ (- 4.0) (pow y 2)) (+ (* (pow y 2) (/ 0 (pow y 2))) (* 2.0 (/ (- 2.0) (pow y 2))))) into 0 1.606 * [taylor]: Taking taylor expansion of 0 in y 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (* 1 1) into 1 1.606 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.607 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ 0 (pow y 2))) (* 2.0 (/ 0 (pow y 2))) (* 0 (/ (- 2.0) (pow y 2))))) into 0 1.611 * [taylor]: Taking taylor expansion of 0 in y 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.613 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ 0 (pow y 2))) (* 2.0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ (- 2.0) (pow y 2))))) into 0 1.617 * [taylor]: Taking taylor expansion of 0 in y 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2.0 (* 1 x))) into (+ (* 2.0 x) (pow y 2)) 1.618 * [backup-simplify]: Simplify (/ (+ (- (* (* 2.0 (/ 1 x)) (* 2.0 (/ 1 x)))) (pow (/ 1 y) 4)) (- (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x)))) into (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 1.618 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 1.618 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.618 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) in y 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.618 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow x 2))) in y 1.619 * [taylor]: Taking taylor expansion of 4.0 in y 1.619 * [backup-simplify]: Simplify 4.0 into 4.0 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [backup-simplify]: Simplify x into x 1.619 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.619 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.619 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.620 * [backup-simplify]: Simplify (/ 1 1) into 1 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.620 * [taylor]: Taking taylor expansion of 2.0 in y 1.620 * [backup-simplify]: Simplify 2.0 into 2.0 1.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.620 * [taylor]: Taking taylor expansion of x in y 1.620 * [backup-simplify]: Simplify x into x 1.620 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.620 * [backup-simplify]: Simplify (+ 1 0) into 1 1.620 * [backup-simplify]: Simplify (+ 1 0) into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.621 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.621 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.621 * [backup-simplify]: Simplify y into y 1.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.621 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.621 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.621 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow x 2))) in x 1.621 * [taylor]: Taking taylor expansion of 4.0 in x 1.621 * [backup-simplify]: Simplify 4.0 into 4.0 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (* 1 1) into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [backup-simplify]: Simplify y into y 1.622 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.622 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of 2.0 in x 1.622 * [backup-simplify]: Simplify 2.0 into 2.0 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.623 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.623 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.623 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.624 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.624 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.625 * [backup-simplify]: Simplify (/ (- 4.0) (- 2.0)) into 2.0 1.625 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.625 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.625 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.625 * [backup-simplify]: Simplify y into y 1.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.625 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.625 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.625 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow x 2))) in x 1.625 * [taylor]: Taking taylor expansion of 4.0 in x 1.625 * [backup-simplify]: Simplify 4.0 into 4.0 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* 1 1) into 1 1.626 * [backup-simplify]: Simplify (/ 1 1) into 1 1.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.626 * [taylor]: Taking taylor expansion of y in x 1.626 * [backup-simplify]: Simplify y into y 1.626 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.626 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.626 * [taylor]: Taking taylor expansion of 2.0 in x 1.626 * [backup-simplify]: Simplify 2.0 into 2.0 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (/ 1 1) into 1 1.627 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.627 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.628 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.628 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.628 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.629 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.629 * [backup-simplify]: Simplify (/ (- 4.0) (- 2.0)) into 2.0 1.629 * [taylor]: Taking taylor expansion of 2.0 in y 1.630 * [backup-simplify]: Simplify 2.0 into 2.0 1.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.633 * [backup-simplify]: Simplify (- (/ 0 (- 2.0)) (+ (* 2.0 (/ (/ 1 (pow y 2)) (- 2.0))))) into (* 1.0 (/ 1 (pow y 2))) 1.633 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 1.633 * [taylor]: Taking taylor expansion of 1.0 in y 1.633 * [backup-simplify]: Simplify 1.0 into 1.0 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.633 * [taylor]: Taking taylor expansion of y in y 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.634 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.634 * [backup-simplify]: Simplify 1.0 into 1.0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.636 * [backup-simplify]: Simplify (- 0) into 0 1.636 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 1.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 4)) (- 2.0)) (+ (* 2.0 (/ 0 (- 2.0))) (* (* 1.0 (/ 1 (pow y 2))) (/ (/ 1 (pow y 2)) (- 2.0))))) into 0 1.639 * [taylor]: Taking taylor expansion of 0 in y 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 2.0 into 2.0 1.640 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.640 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- 0) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (- (/ 0 (- 2.0)) (+ (* 2.0 (/ 0 (- 2.0))) (* (* 1.0 (/ 1 (pow y 2))) (/ 0 (- 2.0))) (* 0 (/ (/ 1 (pow y 2)) (- 2.0))))) into 0 1.646 * [taylor]: Taking taylor expansion of 0 in y 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.648 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.650 * [backup-simplify]: Simplify (- 0) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.655 * [backup-simplify]: Simplify (- (/ 0 (- 2.0)) (+ (* 2.0 (/ 0 (- 2.0))) (* (* 1.0 (/ 1 (pow y 2))) (/ 0 (- 2.0))) (* 0 (/ 0 (- 2.0))) (* 0 (/ (/ 1 (pow y 2)) (- 2.0))))) into 0 1.655 * [taylor]: Taking taylor expansion of 0 in y 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.660 * [backup-simplify]: Simplify (- 0) into 0 1.660 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.663 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 (- 2.0)) (+ (* 2.0 (/ 0 (- 2.0))) (* (* 1.0 (/ 1 (pow y 2))) (/ 0 (- 2.0))) (* 0 (/ 0 (- 2.0))) (* 0 (/ 0 (- 2.0))) (* 0 (/ (/ 1 (pow y 2)) (- 2.0))))) into 0 1.665 * [taylor]: Taking taylor expansion of 0 in y 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2.0 x) (* 1.0 (pow y 2))) 1.666 * [backup-simplify]: Simplify (/ (+ (- (* (* 2.0 (/ 1 (- x))) (* 2.0 (/ 1 (- x))))) (pow (/ 1 (- y)) 4)) (- (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x))))) into (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 1.666 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 1.671 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.671 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.671 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (/ 1 1) into 1 1.672 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow x 2))) in y 1.672 * [taylor]: Taking taylor expansion of 4.0 in y 1.672 * [backup-simplify]: Simplify 4.0 into 4.0 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.672 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.672 * [taylor]: Taking taylor expansion of x in y 1.672 * [backup-simplify]: Simplify x into x 1.672 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.672 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.672 * [taylor]: Taking taylor expansion of y in y 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (* 1 1) into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.673 * [taylor]: Taking taylor expansion of 2.0 in y 1.673 * [backup-simplify]: Simplify 2.0 into 2.0 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [backup-simplify]: Simplify x into x 1.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.673 * [backup-simplify]: Simplify (+ 1 0) into 1 1.673 * [backup-simplify]: Simplify (+ 1 0) into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.674 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.674 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [backup-simplify]: Simplify y into y 1.674 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.674 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.674 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.674 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow x 2))) in x 1.674 * [taylor]: Taking taylor expansion of 4.0 in x 1.674 * [backup-simplify]: Simplify 4.0 into 4.0 1.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (* 1 1) into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [backup-simplify]: Simplify y into y 1.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.675 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.675 * [taylor]: Taking taylor expansion of 2.0 in x 1.675 * [backup-simplify]: Simplify 2.0 into 2.0 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.676 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.676 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.676 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.677 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.677 * [backup-simplify]: Simplify (/ (- 4.0) 2.0) into -2.0 1.677 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.677 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 4.0 (/ 1 (pow x 2)))) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.677 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [backup-simplify]: Simplify y into y 1.678 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.678 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.678 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.678 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow x 2))) in x 1.678 * [taylor]: Taking taylor expansion of 4.0 in x 1.678 * [backup-simplify]: Simplify 4.0 into 4.0 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (* 1 1) into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [backup-simplify]: Simplify y into y 1.678 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.679 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.679 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of 2.0 in x 1.679 * [backup-simplify]: Simplify 2.0 into 2.0 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ 1 1) into 1 1.679 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.679 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.680 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.680 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.680 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.681 * [backup-simplify]: Simplify (/ (- 4.0) 2.0) into -2.0 1.681 * [taylor]: Taking taylor expansion of -2.0 in y 1.681 * [backup-simplify]: Simplify -2.0 into -2.0 1.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.684 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -2.0 (/ (/ 1 (pow y 2)) 2.0)))) into (* 1.0 (/ 1 (pow y 2))) 1.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 1.684 * [taylor]: Taking taylor expansion of 1.0 in y 1.684 * [backup-simplify]: Simplify 1.0 into 1.0 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.684 * [taylor]: Taking taylor expansion of y in y 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.685 * [backup-simplify]: Simplify 1.0 into 1.0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.687 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 1.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 4)) 2.0) (+ (* -2.0 (/ 0 2.0)) (* (* 1.0 (/ 1 (pow y 2))) (/ (/ 1 (pow y 2)) 2.0)))) into 0 1.689 * [taylor]: Taking taylor expansion of 0 in y 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify -2.0 into -2.0 1.690 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.690 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (- 0) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -2.0 (/ 0 2.0)) (* (* 1.0 (/ 1 (pow y 2))) (/ 0 2.0)) (* 0 (/ (/ 1 (pow y 2)) 2.0)))) into 0 1.695 * [taylor]: Taking taylor expansion of 0 in y 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.698 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -2.0 (/ 0 2.0)) (* (* 1.0 (/ 1 (pow y 2))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ (/ 1 (pow y 2)) 2.0)))) into 0 1.704 * [taylor]: Taking taylor expansion of 0 in y 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.707 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -2.0 (/ 0 2.0)) (* (* 1.0 (/ 1 (pow y 2))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ (/ 1 (pow y 2)) 2.0)))) into 0 1.715 * [taylor]: Taking taylor expansion of 0 in y 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ (* -2.0 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2.0 x) (* 1.0 (pow y 2))) 1.715 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.716 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x)))) into (sqrt (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))))) 1.716 * [approximate]: Taking taylor expansion of (sqrt (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))))) in (y x) around 0 1.716 * [taylor]: Taking taylor expansion of (sqrt (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))))) in x 1.716 * [taylor]: Taking taylor expansion of (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))) in x 1.716 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) in x 1.716 * [taylor]: Taking taylor expansion of (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) in x 1.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of (/ (pow y 4) (- (pow y 2) (* 2.0 x))) in x 1.716 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [backup-simplify]: Simplify y into y 1.716 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [backup-simplify]: Simplify y into y 1.716 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.716 * [taylor]: Taking taylor expansion of 2.0 in x 1.716 * [backup-simplify]: Simplify 2.0 into 2.0 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.716 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.717 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.717 * [backup-simplify]: Simplify (- 0) into 0 1.717 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.717 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 1.717 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x)))) in x 1.717 * [taylor]: Taking taylor expansion of 4.0 in x 1.717 * [backup-simplify]: Simplify 4.0 into 4.0 1.717 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- (pow y 2) (* 2.0 x))) in x 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [backup-simplify]: Simplify y into y 1.717 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.717 * [taylor]: Taking taylor expansion of 2.0 in x 1.717 * [backup-simplify]: Simplify 2.0 into 2.0 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.718 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.718 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.718 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.718 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 1.718 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.718 * [taylor]: Taking taylor expansion of 2.0 in x 1.718 * [backup-simplify]: Simplify 2.0 into 2.0 1.718 * [taylor]: Taking taylor expansion of x in x 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.719 * [backup-simplify]: Simplify y into y 1.719 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.719 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.719 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.719 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.719 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.719 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.719 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.719 * [backup-simplify]: Simplify (sqrt (pow y 4)) into (pow y 2) 1.720 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.720 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.721 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.721 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.721 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.721 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.721 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.722 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.722 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.723 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.723 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ (- 2.0) (pow y 2))))) into 2.0 1.723 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.724 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.724 * [backup-simplify]: Simplify (+ (* (pow y 2) 2.0) (* 2.0 (pow y 2))) into (* 4.0 (pow y 2)) 1.724 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (* 2 (sqrt (pow y 4)))) into 2.0 1.724 * [taylor]: Taking taylor expansion of (sqrt (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))))) in y 1.724 * [taylor]: Taking taylor expansion of (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))) in y 1.724 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) in y 1.724 * [taylor]: Taking taylor expansion of (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) in y 1.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.724 * [taylor]: Taking taylor expansion of x in y 1.724 * [backup-simplify]: Simplify x into x 1.724 * [taylor]: Taking taylor expansion of (/ (pow y 4) (- (pow y 2) (* 2.0 x))) in y 1.724 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in y 1.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.724 * [taylor]: Taking taylor expansion of 2.0 in y 1.725 * [backup-simplify]: Simplify 2.0 into 2.0 1.725 * [taylor]: Taking taylor expansion of x in y 1.725 * [backup-simplify]: Simplify x into x 1.725 * [backup-simplify]: Simplify (* 1 1) into 1 1.725 * [backup-simplify]: Simplify (* 1 1) into 1 1.725 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.725 * [backup-simplify]: Simplify (- (* 2.0 x)) into (- (* 2.0 x)) 1.725 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 x))) into (- (* 2.0 x)) 1.725 * [backup-simplify]: Simplify (/ 1 (- (* 2.0 x))) into (/ -0.5 x) 1.725 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x)))) in y 1.725 * [taylor]: Taking taylor expansion of 4.0 in y 1.725 * [backup-simplify]: Simplify 4.0 into 4.0 1.725 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- (pow y 2) (* 2.0 x))) in y 1.725 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.725 * [taylor]: Taking taylor expansion of x in y 1.725 * [backup-simplify]: Simplify x into x 1.725 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in y 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.725 * [taylor]: Taking taylor expansion of y in y 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.725 * [taylor]: Taking taylor expansion of 2.0 in y 1.726 * [backup-simplify]: Simplify 2.0 into 2.0 1.726 * [taylor]: Taking taylor expansion of x in y 1.726 * [backup-simplify]: Simplify x into x 1.726 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.726 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.726 * [backup-simplify]: Simplify (- (* 2.0 x)) into (- (* 2.0 x)) 1.726 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 x))) into (- (* 2.0 x)) 1.726 * [backup-simplify]: Simplify (/ (pow x 2) (- (* 2.0 x))) into (* -0.5 x) 1.726 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 1.726 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.726 * [taylor]: Taking taylor expansion of x in y 1.726 * [backup-simplify]: Simplify x into x 1.726 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 1.726 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.726 * [taylor]: Taking taylor expansion of 2.0 in y 1.726 * [backup-simplify]: Simplify 2.0 into 2.0 1.726 * [taylor]: Taking taylor expansion of x in y 1.726 * [backup-simplify]: Simplify x into x 1.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.726 * [taylor]: Taking taylor expansion of y in y 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.726 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.726 * [backup-simplify]: Simplify (* 4.0 (* -0.5 x)) into (* -2.0 x) 1.726 * [backup-simplify]: Simplify (- (* -2.0 x)) into (* 2.0 x) 1.727 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 1.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.727 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.727 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 1.727 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 1.727 * [backup-simplify]: Simplify (* (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x))) into (pow (+ (pow x 2) (* 2.0 x)) 2) 1.727 * [backup-simplify]: Simplify (sqrt (pow (+ (pow x 2) (* 2.0 x)) 2)) into (+ (pow x 2) (* 2.0 x)) 1.727 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.728 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.729 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 (- (* 2.0 x))) (+ (* (* -0.5 x) (/ 0 (- (* 2.0 x)))))) into 0 1.730 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (* -0.5 x))) into 0 1.730 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (+ (* (+ (pow x 2) (* 2.0 x)) 0) (* 0 (+ (pow x 2) (* 2.0 x)))) into 0 1.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (pow x 2) (* 2.0 x)) 2)))) into 0 1.731 * [taylor]: Taking taylor expansion of (sqrt (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))))) in y 1.731 * [taylor]: Taking taylor expansion of (* (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2)))) in y 1.731 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) in y 1.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) in y 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.731 * [taylor]: Taking taylor expansion of x in y 1.731 * [backup-simplify]: Simplify x into x 1.731 * [taylor]: Taking taylor expansion of (/ (pow y 4) (- (pow y 2) (* 2.0 x))) in y 1.731 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.731 * [taylor]: Taking taylor expansion of y in y 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in y 1.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.731 * [taylor]: Taking taylor expansion of y in y 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.731 * [taylor]: Taking taylor expansion of 2.0 in y 1.731 * [backup-simplify]: Simplify 2.0 into 2.0 1.731 * [taylor]: Taking taylor expansion of x in y 1.731 * [backup-simplify]: Simplify x into x 1.731 * [backup-simplify]: Simplify (* 1 1) into 1 1.732 * [backup-simplify]: Simplify (* 1 1) into 1 1.732 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.732 * [backup-simplify]: Simplify (- (* 2.0 x)) into (- (* 2.0 x)) 1.732 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 x))) into (- (* 2.0 x)) 1.732 * [backup-simplify]: Simplify (/ 1 (- (* 2.0 x))) into (/ -0.5 x) 1.732 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x)))) in y 1.732 * [taylor]: Taking taylor expansion of 4.0 in y 1.732 * [backup-simplify]: Simplify 4.0 into 4.0 1.732 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- (pow y 2) (* 2.0 x))) in y 1.732 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.732 * [taylor]: Taking taylor expansion of x in y 1.732 * [backup-simplify]: Simplify x into x 1.732 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in y 1.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.732 * [taylor]: Taking taylor expansion of 2.0 in y 1.732 * [backup-simplify]: Simplify 2.0 into 2.0 1.732 * [taylor]: Taking taylor expansion of x in y 1.732 * [backup-simplify]: Simplify x into x 1.732 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.732 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.732 * [backup-simplify]: Simplify (- (* 2.0 x)) into (- (* 2.0 x)) 1.732 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 x))) into (- (* 2.0 x)) 1.732 * [backup-simplify]: Simplify (/ (pow x 2) (- (* 2.0 x))) into (* -0.5 x) 1.733 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 1.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.733 * [taylor]: Taking taylor expansion of x in y 1.733 * [backup-simplify]: Simplify x into x 1.733 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 1.733 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.733 * [taylor]: Taking taylor expansion of 2.0 in y 1.733 * [backup-simplify]: Simplify 2.0 into 2.0 1.733 * [taylor]: Taking taylor expansion of x in y 1.733 * [backup-simplify]: Simplify x into x 1.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.733 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.733 * [backup-simplify]: Simplify (* 4.0 (* -0.5 x)) into (* -2.0 x) 1.733 * [backup-simplify]: Simplify (- (* -2.0 x)) into (* 2.0 x) 1.733 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 1.733 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.733 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.733 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 1.733 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 1.733 * [backup-simplify]: Simplify (* (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x))) into (pow (+ (pow x 2) (* 2.0 x)) 2) 1.734 * [backup-simplify]: Simplify (sqrt (pow (+ (pow x 2) (* 2.0 x)) 2)) into (+ (pow x 2) (* 2.0 x)) 1.734 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.734 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.735 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (- (/ 0 (- (* 2.0 x))) (+ (* (* -0.5 x) (/ 0 (- (* 2.0 x)))))) into 0 1.736 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (* -0.5 x))) into 0 1.736 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (+ (* (+ (pow x 2) (* 2.0 x)) 0) (* 0 (+ (pow x 2) (* 2.0 x)))) into 0 1.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (pow x 2) (* 2.0 x)) 2)))) into 0 1.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 1.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.737 * [taylor]: Taking taylor expansion of 2.0 in x 1.737 * [backup-simplify]: Simplify 2.0 into 2.0 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [taylor]: Taking taylor expansion of 0 in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.739 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.739 * [backup-simplify]: Simplify 2.0 into 2.0 1.739 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.740 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 1.740 * [backup-simplify]: Simplify (* 1 1) into 1 1.740 * [backup-simplify]: Simplify (+ 0 1) into 1 1.740 * [backup-simplify]: Simplify (+ 0 1) into 1 1.741 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.741 * [backup-simplify]: Simplify (* 1 1) into 1 1.742 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 1.742 * [backup-simplify]: Simplify (- 0) into 0 1.742 * [backup-simplify]: Simplify (+ 1 0) into 1 1.742 * [backup-simplify]: Simplify (- (/ 0 (- (* 2.0 x))) (+ (* (* -0.5 x) (/ 1 (- (* 2.0 x)))) (* 0 (/ 0 (- (* 2.0 x)))))) into (- 0.25) 1.743 * [backup-simplify]: Simplify (+ (* 4.0 (- 0.25)) (+ (* 0 0) (* 0 (* -0.5 x)))) into (- 1.0) 1.744 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 1.744 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.744 * [backup-simplify]: Simplify (+ (* (+ (pow x 2) (* 2.0 x)) 1) (+ (* 0 0) (* 1.0 (+ (pow x 2) (* 2.0 x))))) into (+ (* 2.0 (pow x 2)) (* 4.0 x)) 1.745 * [backup-simplify]: Simplify (/ (- (+ (* 2.0 (pow x 2)) (* 4.0 x)) (pow 0 2) (+)) (* 2 (+ (pow x 2) (* 2.0 x)))) into (* 1/2 (/ (+ (* 2.0 (pow x 2)) (* 4.0 x)) (+ (pow x 2) (* 2.0 x)))) 1.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (* 2.0 (pow x 2)) (* 4.0 x)) (+ (pow x 2) (* 2.0 x)))) in x 1.745 * [taylor]: Taking taylor expansion of 1/2 in x 1.745 * [backup-simplify]: Simplify 1/2 into 1/2 1.745 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (pow x 2)) (* 4.0 x)) (+ (pow x 2) (* 2.0 x))) in x 1.745 * [taylor]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) (* 4.0 x)) in x 1.745 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.745 * [taylor]: Taking taylor expansion of 2.0 in x 1.745 * [backup-simplify]: Simplify 2.0 into 2.0 1.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (* 4.0 x) in x 1.745 * [taylor]: Taking taylor expansion of 4.0 in x 1.745 * [backup-simplify]: Simplify 4.0 into 4.0 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 1.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.746 * [taylor]: Taking taylor expansion of 2.0 in x 1.746 * [backup-simplify]: Simplify 2.0 into 2.0 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (* 4.0 0) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 1.747 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 1.747 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.749 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.749 * [backup-simplify]: Simplify (/ 4.0 2.0) into 2.0 1.749 * [backup-simplify]: Simplify (* 1/2 2.0) into 1.0 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (* 1 1) into 1 1.750 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.750 * [backup-simplify]: Simplify (+ 1 0) into 1 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1.0 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (* 1.0 (pow y 2)))) 1.751 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) (* (/ 1 x) (/ 1 x)))) (sqrt (+ (/ (+ (- (* (* 2.0 (/ 1 x)) (* 2.0 (/ 1 x)))) (pow (/ 1 y) 4)) (- (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x)))) (* (/ 1 x) (/ 1 x))))) into (sqrt (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))))) 1.751 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))))) in (y x) around 0 1.751 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))))) in x 1.752 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))))) in x 1.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* 1 1) into 1 1.752 * [backup-simplify]: Simplify (/ 1 1) into 1 1.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.752 * [taylor]: Taking taylor expansion of y in x 1.752 * [backup-simplify]: Simplify y into y 1.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.752 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.752 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.752 * [taylor]: Taking taylor expansion of 2.0 in x 1.752 * [backup-simplify]: Simplify 2.0 into 2.0 1.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) in x 1.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in x 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (* 1 1) into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in x 1.753 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in x 1.753 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.753 * [taylor]: Taking taylor expansion of y in x 1.753 * [backup-simplify]: Simplify y into y 1.753 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.754 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.754 * [taylor]: Taking taylor expansion of 2.0 in x 1.754 * [backup-simplify]: Simplify 2.0 into 2.0 1.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.754 * [taylor]: Taking taylor expansion of x in x 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.754 * [taylor]: Taking taylor expansion of y in x 1.754 * [backup-simplify]: Simplify y into y 1.754 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.754 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.755 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.755 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.755 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.755 * [backup-simplify]: Simplify (* (- 2.0) (pow y 4)) into (* -2.0 (pow y 4)) 1.756 * [backup-simplify]: Simplify (/ 1 (* -2.0 (pow y 4))) into (/ -0.5 (pow y 4)) 1.756 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))) in x 1.756 * [taylor]: Taking taylor expansion of 4.0 in x 1.756 * [backup-simplify]: Simplify 4.0 into 4.0 1.756 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))) in x 1.756 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)) in x 1.756 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.756 * [taylor]: Taking taylor expansion of y in x 1.756 * [backup-simplify]: Simplify y into y 1.756 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.756 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.756 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.756 * [taylor]: Taking taylor expansion of 2.0 in x 1.756 * [backup-simplify]: Simplify 2.0 into 2.0 1.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.757 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.758 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.758 * [backup-simplify]: Simplify (* 1 1) into 1 1.758 * [backup-simplify]: Simplify (* (- 2.0) 1) into -2.0 1.759 * [backup-simplify]: Simplify (/ 1 -2.0) into -0.5 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.760 * [backup-simplify]: Simplify (* 1 1) into 1 1.760 * [backup-simplify]: Simplify (sqrt 1) into 1 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (* 4.0 -0.5) into -2.0 1.761 * [backup-simplify]: Simplify (- -2.0) into 2.0 1.762 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.763 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.763 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.764 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 2.0 1)) into 4.0 1.765 * [backup-simplify]: Simplify (/ 4.0 (* 2 (sqrt 1))) into 2.0 1.765 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))))) in y 1.765 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))))) in y 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.765 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.765 * [taylor]: Taking taylor expansion of x in y 1.765 * [backup-simplify]: Simplify x into x 1.765 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.765 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.765 * [taylor]: Taking taylor expansion of y in y 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (* 1 1) into 1 1.766 * [backup-simplify]: Simplify (/ 1 1) into 1 1.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.766 * [taylor]: Taking taylor expansion of 2.0 in y 1.766 * [backup-simplify]: Simplify 2.0 into 2.0 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.766 * [taylor]: Taking taylor expansion of x in y 1.766 * [backup-simplify]: Simplify x into x 1.766 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.766 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) in y 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in y 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.766 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.766 * [taylor]: Taking taylor expansion of x in y 1.766 * [backup-simplify]: Simplify x into x 1.766 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.766 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in y 1.766 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in y 1.766 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.766 * [taylor]: Taking taylor expansion of y in y 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (* 1 1) into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.767 * [taylor]: Taking taylor expansion of 2.0 in y 1.767 * [backup-simplify]: Simplify 2.0 into 2.0 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.767 * [taylor]: Taking taylor expansion of x in y 1.767 * [backup-simplify]: Simplify x into x 1.767 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.767 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.767 * [taylor]: Taking taylor expansion of y in y 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (+ 1 0) into 1 1.767 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (/ 1 1) into 1 1.768 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))) in y 1.768 * [taylor]: Taking taylor expansion of 4.0 in y 1.768 * [backup-simplify]: Simplify 4.0 into 4.0 1.768 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))) in y 1.768 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)) in y 1.768 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.768 * [taylor]: Taking taylor expansion of y in y 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (* 1 1) into 1 1.769 * [backup-simplify]: Simplify (/ 1 1) into 1 1.769 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.769 * [taylor]: Taking taylor expansion of 2.0 in y 1.769 * [backup-simplify]: Simplify 2.0 into 2.0 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.769 * [taylor]: Taking taylor expansion of x in y 1.769 * [backup-simplify]: Simplify x into x 1.769 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.769 * [taylor]: Taking taylor expansion of x in y 1.769 * [backup-simplify]: Simplify x into x 1.774 * [backup-simplify]: Simplify (+ 1 0) into 1 1.774 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.775 * [backup-simplify]: Simplify (* 1 (pow x 2)) into (pow x 2) 1.775 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.775 * [backup-simplify]: Simplify (+ 1 0) into 1 1.776 * [backup-simplify]: Simplify (+ 0 1) into 1 1.776 * [backup-simplify]: Simplify (+ 0 1) into 1 1.776 * [backup-simplify]: Simplify (+ 1 0) into 1 1.776 * [backup-simplify]: Simplify (* 1 1) into 1 1.777 * [backup-simplify]: Simplify (sqrt 1) into 1 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.782 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))))) in y 1.782 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))))) in y 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.782 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.782 * [taylor]: Taking taylor expansion of x in y 1.782 * [backup-simplify]: Simplify x into x 1.782 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.783 * [taylor]: Taking taylor expansion of 2.0 in y 1.783 * [backup-simplify]: Simplify 2.0 into 2.0 1.783 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.783 * [taylor]: Taking taylor expansion of x in y 1.783 * [backup-simplify]: Simplify x into x 1.783 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.783 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) in y 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in y 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.784 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.784 * [taylor]: Taking taylor expansion of x in y 1.784 * [backup-simplify]: Simplify x into x 1.784 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.784 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.784 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in y 1.784 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in y 1.784 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.784 * [taylor]: Taking taylor expansion of y in y 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.784 * [taylor]: Taking taylor expansion of 2.0 in y 1.784 * [backup-simplify]: Simplify 2.0 into 2.0 1.784 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.784 * [taylor]: Taking taylor expansion of x in y 1.784 * [backup-simplify]: Simplify x into x 1.785 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.785 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.785 * [taylor]: Taking taylor expansion of y in y 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (+ 1 0) into 1 1.785 * [backup-simplify]: Simplify (* 1 1) into 1 1.785 * [backup-simplify]: Simplify (* 1 1) into 1 1.786 * [backup-simplify]: Simplify (* 1 1) into 1 1.786 * [backup-simplify]: Simplify (/ 1 1) into 1 1.786 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))) in y 1.786 * [taylor]: Taking taylor expansion of 4.0 in y 1.786 * [backup-simplify]: Simplify 4.0 into 4.0 1.786 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))) in y 1.786 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)) in y 1.786 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.786 * [taylor]: Taking taylor expansion of y in y 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (* 1 1) into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.787 * [taylor]: Taking taylor expansion of 2.0 in y 1.787 * [backup-simplify]: Simplify 2.0 into 2.0 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.787 * [taylor]: Taking taylor expansion of x in y 1.787 * [backup-simplify]: Simplify x into x 1.787 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.787 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.787 * [taylor]: Taking taylor expansion of x in y 1.787 * [backup-simplify]: Simplify x into x 1.787 * [backup-simplify]: Simplify (+ 1 0) into 1 1.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.787 * [backup-simplify]: Simplify (* 1 (pow x 2)) into (pow x 2) 1.787 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.788 * [backup-simplify]: Simplify (+ 0 1) into 1 1.788 * [backup-simplify]: Simplify (+ 0 1) into 1 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.789 * [backup-simplify]: Simplify (* 1 1) into 1 1.789 * [backup-simplify]: Simplify (sqrt 1) into 1 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.794 * [taylor]: Taking taylor expansion of 1 in x 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of 0 in x 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.796 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 1.796 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 (/ 1 x)))) into (- (* 2.0 (/ 1 x))) 1.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (- (* 2.0 (/ 1 x))) 1))) into (- (* 2.0 (/ 1 x))) 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 2.0 (/ 1 x))) 1)) (* 0 (/ 0 1)))) into (* 2.0 (/ 1 x)) 1.797 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.797 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.798 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.799 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.799 * [backup-simplify]: Simplify (+ (* 1 (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) (+ (* 0 0) (* (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1))) into (+ (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x))) 1.800 * [backup-simplify]: Simplify (/ (- (+ (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x)))) 1.800 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x)))) in x 1.800 * [taylor]: Taking taylor expansion of 1/2 in x 1.800 * [backup-simplify]: Simplify 1/2 into 1/2 1.800 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x))) in x 1.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 1.800 * [taylor]: Taking taylor expansion of 2 in x 1.800 * [backup-simplify]: Simplify 2 into 2 1.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (* 1 1) into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 x)) in x 1.801 * [taylor]: Taking taylor expansion of 4.0 in x 1.801 * [backup-simplify]: Simplify 4.0 into 4.0 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [backup-simplify]: Simplify (* 2 1) into 2 1.802 * [backup-simplify]: Simplify (+ 2 0) into 2 1.802 * [backup-simplify]: Simplify (* 1/2 2) into 1 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.805 * [backup-simplify]: Simplify (- 0) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2.0 (/ 1 x))) 0) (* 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 2.0 (/ 1 x))) 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) (+ (* (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0) (* 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x)))))))) (* 2 1)) into 0 1.811 * [taylor]: Taking taylor expansion of 0 in x 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.812 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.812 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 1.813 * [backup-simplify]: Simplify (+ (* 1/2 4.0) (* 0 2)) into 2.0 1.813 * [backup-simplify]: Simplify 2.0 into 2.0 1.813 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.814 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x))))) (sqrt (+ (/ (+ (- (* (* 2.0 (/ 1 (- x))) (* 2.0 (/ 1 (- x))))) (pow (/ 1 (- y)) 4)) (- (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))))) 1.814 * [approximate]: Taking taylor expansion of (sqrt (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))))) in (y x) around 0 1.814 * [taylor]: Taking taylor expansion of (sqrt (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))))) in x 1.814 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x)))) in x 1.814 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) in x 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify (* 1 1) into 1 1.815 * [backup-simplify]: Simplify (/ 1 1) into 1 1.815 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in x 1.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in x 1.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.815 * [taylor]: Taking taylor expansion of y in x 1.815 * [backup-simplify]: Simplify y into y 1.815 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.815 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.815 * [taylor]: Taking taylor expansion of 2.0 in x 1.815 * [backup-simplify]: Simplify 2.0 into 2.0 1.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.816 * [taylor]: Taking taylor expansion of y in x 1.816 * [backup-simplify]: Simplify y into y 1.816 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.816 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.816 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.816 * [backup-simplify]: Simplify (* 2.0 (pow y 4)) into (* 2.0 (pow y 4)) 1.816 * [backup-simplify]: Simplify (/ 1 (* 2.0 (pow y 4))) into (/ 0.5 (pow y 4)) 1.817 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))))) in x 1.817 * [taylor]: Taking taylor expansion of 4.0 in x 1.817 * [backup-simplify]: Simplify 4.0 into 4.0 1.817 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))) in x 1.817 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.817 * [taylor]: Taking taylor expansion of y in x 1.817 * [backup-simplify]: Simplify y into y 1.817 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.817 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.817 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of 2.0 in x 1.817 * [backup-simplify]: Simplify 2.0 into 2.0 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.817 * [backup-simplify]: Simplify (* 1 1) into 1 1.818 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.818 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.818 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 1.818 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5 1.818 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (* 1 1) into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.819 * [taylor]: Taking taylor expansion of y in x 1.819 * [backup-simplify]: Simplify y into y 1.819 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.819 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.819 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.819 * [taylor]: Taking taylor expansion of 2.0 in x 1.819 * [backup-simplify]: Simplify 2.0 into 2.0 1.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [backup-simplify]: Simplify (+ 1 0) into 1 1.820 * [backup-simplify]: Simplify (+ 1 0) into 1 1.820 * [backup-simplify]: Simplify (+ 1 0) into 1 1.821 * [backup-simplify]: Simplify (+ 1 0) into 1 1.821 * [backup-simplify]: Simplify (* 1 1) into 1 1.821 * [backup-simplify]: Simplify (sqrt 1) into 1 1.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.822 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.823 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (* 4.0 0.5) into 2.0 1.824 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.825 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.826 * [backup-simplify]: Simplify (+ (* 1 (- 2.0)) (* (- 2.0) 1)) into (- 4.0) 1.827 * [backup-simplify]: Simplify (/ (- 4.0) (* 2 (sqrt 1))) into -2.0 1.827 * [taylor]: Taking taylor expansion of (sqrt (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))))) in y 1.827 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x)))) in y 1.827 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) in y 1.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in y 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.827 * [taylor]: Taking taylor expansion of x in y 1.827 * [backup-simplify]: Simplify x into x 1.827 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.828 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.828 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in y 1.828 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in y 1.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.828 * [taylor]: Taking taylor expansion of y in y 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (* 1 1) into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.828 * [taylor]: Taking taylor expansion of 2.0 in y 1.828 * [backup-simplify]: Simplify 2.0 into 2.0 1.828 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.828 * [taylor]: Taking taylor expansion of x in y 1.828 * [backup-simplify]: Simplify x into x 1.828 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.828 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.828 * [taylor]: Taking taylor expansion of y in y 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (+ 1 0) into 1 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.830 * [backup-simplify]: Simplify (/ 1 1) into 1 1.830 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))))) in y 1.830 * [taylor]: Taking taylor expansion of 4.0 in y 1.830 * [backup-simplify]: Simplify 4.0 into 4.0 1.830 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))) in y 1.830 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.830 * [taylor]: Taking taylor expansion of x in y 1.830 * [backup-simplify]: Simplify x into x 1.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.830 * [taylor]: Taking taylor expansion of y in y 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (* 1 1) into 1 1.830 * [backup-simplify]: Simplify (/ 1 1) into 1 1.830 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.830 * [taylor]: Taking taylor expansion of 2.0 in y 1.830 * [backup-simplify]: Simplify 2.0 into 2.0 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.830 * [taylor]: Taking taylor expansion of x in y 1.830 * [backup-simplify]: Simplify x into x 1.830 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.831 * [backup-simplify]: Simplify (+ 1 0) into 1 1.831 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.831 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.831 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 1.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.831 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.831 * [taylor]: Taking taylor expansion of x in y 1.831 * [backup-simplify]: Simplify x into x 1.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.831 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.831 * [taylor]: Taking taylor expansion of y in y 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (* 1 1) into 1 1.832 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.832 * [taylor]: Taking taylor expansion of 2.0 in y 1.832 * [backup-simplify]: Simplify 2.0 into 2.0 1.832 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.832 * [taylor]: Taking taylor expansion of x in y 1.832 * [backup-simplify]: Simplify x into x 1.832 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.832 * [backup-simplify]: Simplify (+ 0 1) into 1 1.832 * [backup-simplify]: Simplify (+ 1 0) into 1 1.833 * [backup-simplify]: Simplify (+ 0 1) into 1 1.833 * [backup-simplify]: Simplify (+ 1 0) into 1 1.833 * [backup-simplify]: Simplify (* 1 1) into 1 1.833 * [backup-simplify]: Simplify (sqrt 1) into 1 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.838 * [taylor]: Taking taylor expansion of (sqrt (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))))) in y 1.838 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x)))) in y 1.838 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) in y 1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in y 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.838 * [taylor]: Taking taylor expansion of x in y 1.838 * [backup-simplify]: Simplify x into x 1.838 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.839 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.839 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in y 1.839 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in y 1.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.839 * [taylor]: Taking taylor expansion of y in y 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (* 1 1) into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.839 * [taylor]: Taking taylor expansion of 2.0 in y 1.839 * [backup-simplify]: Simplify 2.0 into 2.0 1.839 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.839 * [taylor]: Taking taylor expansion of x in y 1.839 * [backup-simplify]: Simplify x into x 1.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.839 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.839 * [taylor]: Taking taylor expansion of y in y 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (+ 1 0) into 1 1.840 * [backup-simplify]: Simplify (* 1 1) into 1 1.840 * [backup-simplify]: Simplify (* 1 1) into 1 1.840 * [backup-simplify]: Simplify (* 1 1) into 1 1.840 * [backup-simplify]: Simplify (/ 1 1) into 1 1.840 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))))) in y 1.841 * [taylor]: Taking taylor expansion of 4.0 in y 1.841 * [backup-simplify]: Simplify 4.0 into 4.0 1.841 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))) in y 1.841 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.841 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.841 * [taylor]: Taking taylor expansion of x in y 1.841 * [backup-simplify]: Simplify x into x 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.841 * [taylor]: Taking taylor expansion of y in y 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (* 1 1) into 1 1.841 * [backup-simplify]: Simplify (/ 1 1) into 1 1.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.841 * [taylor]: Taking taylor expansion of 2.0 in y 1.841 * [backup-simplify]: Simplify 2.0 into 2.0 1.841 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.841 * [taylor]: Taking taylor expansion of x in y 1.841 * [backup-simplify]: Simplify x into x 1.841 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.841 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.842 * [backup-simplify]: Simplify (+ 1 0) into 1 1.842 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.842 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.842 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 1.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.842 * [taylor]: Taking taylor expansion of x in y 1.842 * [backup-simplify]: Simplify x into x 1.842 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.842 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.842 * [taylor]: Taking taylor expansion of y in y 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (* 1 1) into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.843 * [taylor]: Taking taylor expansion of 2.0 in y 1.843 * [backup-simplify]: Simplify 2.0 into 2.0 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.843 * [taylor]: Taking taylor expansion of x in y 1.843 * [backup-simplify]: Simplify x into x 1.843 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.843 * [backup-simplify]: Simplify (+ 0 1) into 1 1.843 * [backup-simplify]: Simplify (+ 1 0) into 1 1.844 * [backup-simplify]: Simplify (+ 0 1) into 1 1.844 * [backup-simplify]: Simplify (+ 1 0) into 1 1.844 * [backup-simplify]: Simplify (* 1 1) into 1 1.844 * [backup-simplify]: Simplify (sqrt 1) into 1 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.849 * [taylor]: Taking taylor expansion of 1 in x 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of 0 in x 1.849 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.851 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.851 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 1.851 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.853 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 2.0 (/ 1 x)) 1))) into (* 2.0 (/ 1 x)) 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2.0 (/ 1 x)) 1)) (* 0 (/ 0 1)))) into (- (* 2.0 (/ 1 x))) 1.854 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.854 * [backup-simplify]: Simplify (+ (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.855 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) (+ (* 0 0) (* (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1))) into (- (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x))) 1.856 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (- (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x)))) 1.856 * [taylor]: Taking taylor expansion of (* 1/2 (- (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x)))) in x 1.856 * [taylor]: Taking taylor expansion of 1/2 in x 1.856 * [backup-simplify]: Simplify 1/2 into 1/2 1.856 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x))) in x 1.856 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 1.856 * [taylor]: Taking taylor expansion of 2 in x 1.856 * [backup-simplify]: Simplify 2 into 2 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (* 1 1) into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 x)) in x 1.856 * [taylor]: Taking taylor expansion of 4.0 in x 1.856 * [backup-simplify]: Simplify 4.0 into 4.0 1.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [backup-simplify]: Simplify (* 2 1) into 2 1.857 * [backup-simplify]: Simplify (+ 2 0) into 2 1.857 * [backup-simplify]: Simplify (* 1/2 2) into 1 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.860 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2.0 (/ 1 x)) 0) (* 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 2.0 (/ 1 x)) 1)) (* (- (* 2.0 (/ 1 x))) (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) (+ (* (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0) (* 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (- (* 2 (/ 1 (pow x 2))) (* 4.0 (/ 1 x)))))))) (* 2 1)) into 0 1.866 * [taylor]: Taking taylor expansion of 0 in x 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.868 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.873 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.875 * [backup-simplify]: Simplify (+ (* 1/2 (- 4.0)) (* 0 2)) into (- 2.0) 1.875 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.876 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.876 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.876 * [backup-simplify]: Simplify (+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x)) into (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) 1.876 * [approximate]: Taking taylor expansion of (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) in (x y) around 0 1.876 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) in y 1.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) in y 1.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.876 * [taylor]: Taking taylor expansion of x in y 1.876 * [backup-simplify]: Simplify x into x 1.876 * [taylor]: Taking taylor expansion of (/ (pow y 4) (- (pow y 2) (* 2.0 x))) in y 1.876 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.876 * [taylor]: Taking taylor expansion of y in y 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in y 1.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.876 * [taylor]: Taking taylor expansion of y in y 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.876 * [taylor]: Taking taylor expansion of 2.0 in y 1.876 * [backup-simplify]: Simplify 2.0 into 2.0 1.876 * [taylor]: Taking taylor expansion of x in y 1.876 * [backup-simplify]: Simplify x into x 1.877 * [backup-simplify]: Simplify (* 1 1) into 1 1.877 * [backup-simplify]: Simplify (* 1 1) into 1 1.877 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.877 * [backup-simplify]: Simplify (- (* 2.0 x)) into (- (* 2.0 x)) 1.877 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 x))) into (- (* 2.0 x)) 1.877 * [backup-simplify]: Simplify (/ 1 (- (* 2.0 x))) into (/ -0.5 x) 1.877 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x)))) in y 1.877 * [taylor]: Taking taylor expansion of 4.0 in y 1.877 * [backup-simplify]: Simplify 4.0 into 4.0 1.877 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- (pow y 2) (* 2.0 x))) in y 1.877 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.877 * [taylor]: Taking taylor expansion of x in y 1.877 * [backup-simplify]: Simplify x into x 1.877 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in y 1.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.877 * [taylor]: Taking taylor expansion of y in y 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.877 * [taylor]: Taking taylor expansion of 2.0 in y 1.877 * [backup-simplify]: Simplify 2.0 into 2.0 1.877 * [taylor]: Taking taylor expansion of x in y 1.877 * [backup-simplify]: Simplify x into x 1.877 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.877 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.877 * [backup-simplify]: Simplify (- (* 2.0 x)) into (- (* 2.0 x)) 1.877 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 x))) into (- (* 2.0 x)) 1.878 * [backup-simplify]: Simplify (/ (pow x 2) (- (* 2.0 x))) into (* -0.5 x) 1.878 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) in x 1.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) in x 1.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [taylor]: Taking taylor expansion of (/ (pow y 4) (- (pow y 2) (* 2.0 x))) in x 1.878 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.878 * [taylor]: Taking taylor expansion of y in x 1.878 * [backup-simplify]: Simplify y into y 1.878 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.878 * [taylor]: Taking taylor expansion of y in x 1.878 * [backup-simplify]: Simplify y into y 1.878 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.878 * [taylor]: Taking taylor expansion of 2.0 in x 1.878 * [backup-simplify]: Simplify 2.0 into 2.0 1.878 * [taylor]: Taking taylor expansion of x in x 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.878 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.878 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.878 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.879 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 1.879 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x)))) in x 1.879 * [taylor]: Taking taylor expansion of 4.0 in x 1.879 * [backup-simplify]: Simplify 4.0 into 4.0 1.879 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- (pow y 2) (* 2.0 x))) in x 1.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.879 * [taylor]: Taking taylor expansion of y in x 1.879 * [backup-simplify]: Simplify y into y 1.879 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.879 * [taylor]: Taking taylor expansion of 2.0 in x 1.879 * [backup-simplify]: Simplify 2.0 into 2.0 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (* 1 1) into 1 1.880 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.880 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.880 * [backup-simplify]: Simplify (- 0) into 0 1.880 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.880 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x))))) in x 1.880 * [taylor]: Taking taylor expansion of (+ (pow x 2) (/ (pow y 4) (- (pow y 2) (* 2.0 x)))) in x 1.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [taylor]: Taking taylor expansion of (/ (pow y 4) (- (pow y 2) (* 2.0 x))) in x 1.880 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.880 * [taylor]: Taking taylor expansion of y in x 1.880 * [backup-simplify]: Simplify y into y 1.880 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.880 * [taylor]: Taking taylor expansion of y in x 1.881 * [backup-simplify]: Simplify y into y 1.881 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.881 * [taylor]: Taking taylor expansion of 2.0 in x 1.881 * [backup-simplify]: Simplify 2.0 into 2.0 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.881 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.881 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.881 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.881 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 1.882 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow x 2) (- (pow y 2) (* 2.0 x)))) in x 1.882 * [taylor]: Taking taylor expansion of 4.0 in x 1.882 * [backup-simplify]: Simplify 4.0 into 4.0 1.882 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- (pow y 2) (* 2.0 x))) in x 1.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 2.0 x)) in x 1.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.882 * [taylor]: Taking taylor expansion of y in x 1.882 * [backup-simplify]: Simplify y into y 1.882 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.882 * [taylor]: Taking taylor expansion of 2.0 in x 1.882 * [backup-simplify]: Simplify 2.0 into 2.0 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.882 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.883 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.883 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.883 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.883 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.883 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.884 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.884 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.885 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.885 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ (- 2.0) (pow y 2))))) into 2.0 1.886 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.886 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.886 * [taylor]: Taking taylor expansion of 2.0 in y 1.886 * [backup-simplify]: Simplify 2.0 into 2.0 1.886 * [backup-simplify]: Simplify 2.0 into 2.0 1.886 * [backup-simplify]: Simplify (* 1 1) into 1 1.886 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.887 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ 0 (pow y 2))) (* 2.0 (/ (- 2.0) (pow y 2))))) into (* 4.0 (/ 1 (pow y 2))) 1.889 * [backup-simplify]: Simplify (+ 1 (* 4.0 (/ 1 (pow y 2)))) into (+ (* 4.0 (/ 1 (pow y 2))) 1) 1.889 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.890 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.890 * [backup-simplify]: Simplify (+ (+ (* 4.0 (/ 1 (pow y 2))) 1) (- (* 4.0 (/ 1 (pow y 2))))) into 1 1.890 * [taylor]: Taking taylor expansion of 1 in y 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (* 1 1) into 1 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.891 * [backup-simplify]: Simplify (+ (/ (+ (- (* (* 2.0 (/ 1 x)) (* 2.0 (/ 1 x)))) (pow (/ 1 y) 4)) (- (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) 1.891 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) in (x y) around 0 1.891 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) in y 1.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in y 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.891 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.891 * [taylor]: Taking taylor expansion of x in y 1.891 * [backup-simplify]: Simplify x into x 1.891 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.891 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.891 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in y 1.891 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in y 1.891 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.891 * [taylor]: Taking taylor expansion of y in y 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.892 * [taylor]: Taking taylor expansion of 2.0 in y 1.892 * [backup-simplify]: Simplify 2.0 into 2.0 1.892 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.892 * [taylor]: Taking taylor expansion of x in y 1.892 * [backup-simplify]: Simplify x into x 1.892 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.892 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.892 * [taylor]: Taking taylor expansion of y in y 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (+ 1 0) into 1 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))) in y 1.893 * [taylor]: Taking taylor expansion of 4.0 in y 1.893 * [backup-simplify]: Simplify 4.0 into 4.0 1.893 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))) in y 1.893 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)) in y 1.893 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.893 * [taylor]: Taking taylor expansion of y in y 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.894 * [taylor]: Taking taylor expansion of 2.0 in y 1.894 * [backup-simplify]: Simplify 2.0 into 2.0 1.894 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [backup-simplify]: Simplify x into x 1.894 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.894 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [backup-simplify]: Simplify x into x 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.894 * [backup-simplify]: Simplify (* 1 (pow x 2)) into (pow x 2) 1.894 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.894 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) in x 1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in x 1.895 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in x 1.895 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [backup-simplify]: Simplify y into y 1.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.895 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.895 * [taylor]: Taking taylor expansion of 2.0 in x 1.895 * [backup-simplify]: Simplify 2.0 into 2.0 1.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.896 * [taylor]: Taking taylor expansion of y in x 1.896 * [backup-simplify]: Simplify y into y 1.896 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.896 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.897 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.897 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.897 * [backup-simplify]: Simplify (* (- 2.0) (pow y 4)) into (* -2.0 (pow y 4)) 1.897 * [backup-simplify]: Simplify (/ 1 (* -2.0 (pow y 4))) into (/ -0.5 (pow y 4)) 1.897 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))) in x 1.897 * [taylor]: Taking taylor expansion of 4.0 in x 1.897 * [backup-simplify]: Simplify 4.0 into 4.0 1.897 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))) in x 1.897 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)) in x 1.897 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.897 * [taylor]: Taking taylor expansion of y in x 1.897 * [backup-simplify]: Simplify y into y 1.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.898 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.898 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.898 * [taylor]: Taking taylor expansion of 2.0 in x 1.898 * [backup-simplify]: Simplify 2.0 into 2.0 1.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.898 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.899 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (* (- 2.0) 1) into -2.0 1.900 * [backup-simplify]: Simplify (/ 1 -2.0) into -0.5 1.900 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))))) in x 1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (* 1 1) into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in x 1.901 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in x 1.901 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.901 * [taylor]: Taking taylor expansion of y in x 1.901 * [backup-simplify]: Simplify y into y 1.901 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.901 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.901 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.901 * [taylor]: Taking taylor expansion of 2.0 in x 1.901 * [backup-simplify]: Simplify 2.0 into 2.0 1.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.901 * [taylor]: Taking taylor expansion of y in x 1.901 * [backup-simplify]: Simplify y into y 1.902 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.902 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.902 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.902 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.903 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.903 * [backup-simplify]: Simplify (* (- 2.0) (pow y 4)) into (* -2.0 (pow y 4)) 1.903 * [backup-simplify]: Simplify (/ 1 (* -2.0 (pow y 4))) into (/ -0.5 (pow y 4)) 1.903 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)))) in x 1.903 * [taylor]: Taking taylor expansion of 4.0 in x 1.903 * [backup-simplify]: Simplify 4.0 into 4.0 1.903 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2))) in x 1.903 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow x 2)) in x 1.903 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.903 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.903 * [taylor]: Taking taylor expansion of y in x 1.903 * [backup-simplify]: Simplify y into y 1.903 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.903 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.903 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.903 * [taylor]: Taking taylor expansion of 2.0 in x 1.903 * [backup-simplify]: Simplify 2.0 into 2.0 1.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.904 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.905 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.905 * [backup-simplify]: Simplify (* 1 1) into 1 1.905 * [backup-simplify]: Simplify (* (- 2.0) 1) into -2.0 1.906 * [backup-simplify]: Simplify (/ 1 -2.0) into -0.5 1.906 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [taylor]: Taking taylor expansion of 1 in y 1.906 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (* 4.0 -0.5) into -2.0 1.908 * [backup-simplify]: Simplify (- -2.0) into 2.0 1.908 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.908 * [taylor]: Taking taylor expansion of 2.0 in y 1.908 * [backup-simplify]: Simplify 2.0 into 2.0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.911 * [backup-simplify]: Simplify (+ (* (- 2.0) 0) (* (/ 1 (pow y 2)) 1)) into (/ 1 (pow y 2)) 1.911 * [backup-simplify]: Simplify (- (+ (* -0.5 (/ (/ 1 (pow y 2)) -2.0)))) into (- (* 0.25 (/ 1 (pow y 2)))) 1.912 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.25 (/ 1 (pow y 2))))) (* 0 -0.5)) into (- (* 1.0 (/ 1 (pow y 2)))) 1.912 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow y 2))))) into (* 1.0 (/ 1 (pow y 2))) 1.912 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow y 2)))) into (* 1.0 (/ 1 (pow y 2))) 1.912 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 1.912 * [taylor]: Taking taylor expansion of 1.0 in y 1.912 * [backup-simplify]: Simplify 1.0 into 1.0 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ 0 (/ -0.5 (pow y 4))) into (- (* 0.5 (/ 1 (pow y 4)))) 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.915 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (+ (* (- 2.0) 0) (+ (* (/ 1 (pow y 2)) 0) (* 0 1))) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* -0.5 (/ 0 -2.0)) (* (- (* 0.25 (/ 1 (pow y 2)))) (/ (/ 1 (pow y 2)) -2.0)))) into (- (* 0.125 (/ 1 (pow y 4)))) 1.918 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.125 (/ 1 (pow y 4))))) (+ (* 0 (- (* 0.25 (/ 1 (pow y 2))))) (* 0 -0.5))) into (- (* 0.5 (/ 1 (pow y 4)))) 1.918 * [backup-simplify]: Simplify (- (- (* 0.5 (/ 1 (pow y 4))))) into (* 0.5 (/ 1 (pow y 4))) 1.918 * [backup-simplify]: Simplify (+ (- (* 0.5 (/ 1 (pow y 4)))) (* 0.5 (/ 1 (pow y 4)))) into 0 1.918 * [taylor]: Taking taylor expansion of 0 in y 1.918 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 2.0 into 2.0 1.920 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1.0 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (* 1.0 (pow y 2)))) 1.921 * [backup-simplify]: Simplify (+ (/ (+ (- (* (* 2.0 (/ 1 (- x))) (* 2.0 (/ 1 (- x))))) (pow (/ 1 (- y)) 4)) (- (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) 1.921 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) in (x y) around 0 1.921 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) in y 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in y 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.921 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.921 * [taylor]: Taking taylor expansion of x in y 1.921 * [backup-simplify]: Simplify x into x 1.921 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.921 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in y 1.921 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in y 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (* 1 1) into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.921 * [taylor]: Taking taylor expansion of 2.0 in y 1.921 * [backup-simplify]: Simplify 2.0 into 2.0 1.922 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.922 * [taylor]: Taking taylor expansion of x in y 1.922 * [backup-simplify]: Simplify x into x 1.922 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.922 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (+ 1 0) into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))))) in y 1.923 * [taylor]: Taking taylor expansion of 4.0 in y 1.923 * [backup-simplify]: Simplify 4.0 into 4.0 1.923 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))) in y 1.923 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.923 * [taylor]: Taking taylor expansion of x in y 1.923 * [backup-simplify]: Simplify x into x 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.923 * [taylor]: Taking taylor expansion of y in y 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.923 * [taylor]: Taking taylor expansion of 2.0 in y 1.924 * [backup-simplify]: Simplify 2.0 into 2.0 1.924 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.924 * [taylor]: Taking taylor expansion of x in y 1.924 * [backup-simplify]: Simplify x into x 1.924 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.924 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.924 * [backup-simplify]: Simplify (+ 1 0) into 1 1.924 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.924 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.924 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) in x 1.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in x 1.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in x 1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.925 * [taylor]: Taking taylor expansion of y in x 1.925 * [backup-simplify]: Simplify y into y 1.925 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.925 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.925 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.925 * [taylor]: Taking taylor expansion of 2.0 in x 1.925 * [backup-simplify]: Simplify 2.0 into 2.0 1.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.925 * [taylor]: Taking taylor expansion of y in x 1.925 * [backup-simplify]: Simplify y into y 1.926 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.926 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.926 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.926 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.926 * [backup-simplify]: Simplify (* 2.0 (pow y 4)) into (* 2.0 (pow y 4)) 1.926 * [backup-simplify]: Simplify (/ 1 (* 2.0 (pow y 4))) into (/ 0.5 (pow y 4)) 1.926 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))))) in x 1.926 * [taylor]: Taking taylor expansion of 4.0 in x 1.926 * [backup-simplify]: Simplify 4.0 into 4.0 1.926 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))) in x 1.926 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.926 * [backup-simplify]: Simplify y into y 1.926 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.927 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.927 * [taylor]: Taking taylor expansion of 2.0 in x 1.927 * [backup-simplify]: Simplify 2.0 into 2.0 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (/ 1 1) into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.928 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.928 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 1.928 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5 1.928 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))))) in x 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)))) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4))) in x 1.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) (pow y 4)) in x 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.929 * [taylor]: Taking taylor expansion of y in x 1.929 * [backup-simplify]: Simplify y into y 1.929 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.929 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of 2.0 in x 1.929 * [backup-simplify]: Simplify 2.0 into 2.0 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.930 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [backup-simplify]: Simplify y into y 1.930 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.930 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.930 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.930 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.930 * [backup-simplify]: Simplify (* 2.0 (pow y 4)) into (* 2.0 (pow y 4)) 1.930 * [backup-simplify]: Simplify (/ 1 (* 2.0 (pow y 4))) into (/ 0.5 (pow y 4)) 1.930 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))))) in x 1.930 * [taylor]: Taking taylor expansion of 4.0 in x 1.931 * [backup-simplify]: Simplify 4.0 into 4.0 1.931 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))))) in x 1.931 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.931 * [taylor]: Taking taylor expansion of y in x 1.931 * [backup-simplify]: Simplify y into y 1.931 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.931 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.931 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of 2.0 in x 1.931 * [backup-simplify]: Simplify 2.0 into 2.0 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.932 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.932 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 1.932 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5 1.933 * [backup-simplify]: Simplify (+ 1 0) into 1 1.933 * [backup-simplify]: Simplify (+ 1 0) into 1 1.933 * [taylor]: Taking taylor expansion of 1 in y 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (* 4.0 0.5) into 2.0 1.934 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.935 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.935 * [taylor]: Taking taylor expansion of (- 2.0) in y 1.935 * [taylor]: Taking taylor expansion of 2.0 in y 1.935 * [backup-simplify]: Simplify 2.0 into 2.0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (* 0 2.0)) into (/ 1 (pow y 2)) 1.938 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ (/ 1 (pow y 2)) 2.0)))) into (- (* 0.25 (/ 1 (pow y 2)))) 1.939 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.25 (/ 1 (pow y 2))))) (* 0 0.5)) into (- (* 1.0 (/ 1 (pow y 2)))) 1.939 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow y 2))))) into (* 1.0 (/ 1 (pow y 2))) 1.939 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow y 2)))) into (* 1.0 (/ 1 (pow y 2))) 1.939 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 1.939 * [taylor]: Taking taylor expansion of 1.0 in y 1.939 * [backup-simplify]: Simplify 1.0 into 1.0 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.939 * [taylor]: Taking taylor expansion of y in y 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.940 * [backup-simplify]: Simplify 1.0 into 1.0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ 0 (/ 0.5 (pow y 4))) into (* 0.5 (/ 1 (pow y 4))) 1.941 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (* 0 2.0))) into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 0 2.0)) (* (- (* 0.25 (/ 1 (pow y 2)))) (/ (/ 1 (pow y 2)) 2.0)))) into (* 0.125 (/ 1 (pow y 4))) 1.944 * [backup-simplify]: Simplify (+ (* 4.0 (* 0.125 (/ 1 (pow y 4)))) (+ (* 0 (- (* 0.25 (/ 1 (pow y 2))))) (* 0 0.5))) into (* 0.5 (/ 1 (pow y 4))) 1.945 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (pow y 4)))) into (- (* 0.5 (/ 1 (pow y 4)))) 1.945 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (pow y 4))) (- (* 0.5 (/ 1 (pow y 4))))) into 0 1.945 * [taylor]: Taking taylor expansion of 0 in y 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.947 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.947 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (* 1.0 (pow y 2)))) 1.947 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.947 * [backup-simplify]: Simplify (+ (+ (* y y) (* 2.0 x)) (* x x)) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.947 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 1.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 1.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 1.948 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.948 * [taylor]: Taking taylor expansion of 2.0 in x 1.948 * [backup-simplify]: Simplify 2.0 into 2.0 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.948 * [taylor]: Taking taylor expansion of y in x 1.948 * [backup-simplify]: Simplify y into y 1.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.948 * [taylor]: Taking taylor expansion of x in y 1.948 * [backup-simplify]: Simplify x into x 1.948 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 1.948 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.948 * [taylor]: Taking taylor expansion of 2.0 in y 1.948 * [backup-simplify]: Simplify 2.0 into 2.0 1.948 * [taylor]: Taking taylor expansion of x in y 1.948 * [backup-simplify]: Simplify x into x 1.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.948 * [taylor]: Taking taylor expansion of x in y 1.948 * [backup-simplify]: Simplify x into x 1.948 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 1.948 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.948 * [taylor]: Taking taylor expansion of 2.0 in y 1.948 * [backup-simplify]: Simplify 2.0 into 2.0 1.948 * [taylor]: Taking taylor expansion of x in y 1.948 * [backup-simplify]: Simplify x into x 1.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.948 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 1.948 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 1.948 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 1.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.948 * [taylor]: Taking taylor expansion of 2.0 in x 1.949 * [backup-simplify]: Simplify 2.0 into 2.0 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.949 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.951 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.951 * [backup-simplify]: Simplify 2.0 into 2.0 1.951 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 1.952 * [backup-simplify]: Simplify (* 1 1) into 1 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.953 * [backup-simplify]: Simplify (+ 0 1) into 1 1.953 * [taylor]: Taking taylor expansion of 1 in x 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (* 1 1) into 1 1.953 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.954 * [backup-simplify]: Simplify (+ 1 0) into 1 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.954 * [backup-simplify]: Simplify (+ (+ (* (/ 1 y) (/ 1 y)) (* 2.0 (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 1.954 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.955 * [taylor]: Taking taylor expansion of y in x 1.955 * [backup-simplify]: Simplify y into y 1.955 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.955 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.955 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.955 * [taylor]: Taking taylor expansion of 2.0 in x 1.955 * [backup-simplify]: Simplify 2.0 into 2.0 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [backup-simplify]: Simplify x into x 1.956 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.956 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.956 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.956 * [taylor]: Taking taylor expansion of 2.0 in y 1.956 * [backup-simplify]: Simplify 2.0 into 2.0 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [backup-simplify]: Simplify x into x 1.956 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.957 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.957 * [taylor]: Taking taylor expansion of x in y 1.957 * [backup-simplify]: Simplify x into x 1.957 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.957 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.957 * [taylor]: Taking taylor expansion of y in y 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.957 * [taylor]: Taking taylor expansion of 2.0 in y 1.957 * [backup-simplify]: Simplify 2.0 into 2.0 1.957 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.957 * [taylor]: Taking taylor expansion of x in y 1.957 * [backup-simplify]: Simplify x into x 1.957 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (+ 0 1) into 1 1.958 * [taylor]: Taking taylor expansion of 1 in x 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [taylor]: Taking taylor expansion of 0 in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.960 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.960 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.961 * [taylor]: Taking taylor expansion of 2.0 in x 1.961 * [backup-simplify]: Simplify 2.0 into 2.0 1.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [backup-simplify]: Simplify (+ 1 0) into 1 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [taylor]: Taking taylor expansion of 0 in x 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.965 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.965 * [backup-simplify]: Simplify 2.0 into 2.0 1.966 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.966 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 1.966 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 1.966 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.967 * [taylor]: Taking taylor expansion of y in x 1.967 * [backup-simplify]: Simplify y into y 1.967 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.967 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.967 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.967 * [taylor]: Taking taylor expansion of 2.0 in x 1.967 * [backup-simplify]: Simplify 2.0 into 2.0 1.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 1.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.967 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.967 * [taylor]: Taking taylor expansion of x in y 1.967 * [backup-simplify]: Simplify x into x 1.967 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.967 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.967 * [taylor]: Taking taylor expansion of y in y 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.968 * [taylor]: Taking taylor expansion of 2.0 in y 1.968 * [backup-simplify]: Simplify 2.0 into 2.0 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.968 * [taylor]: Taking taylor expansion of x in y 1.968 * [backup-simplify]: Simplify x into x 1.968 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.968 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.968 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.968 * [taylor]: Taking taylor expansion of x in y 1.968 * [backup-simplify]: Simplify x into x 1.968 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.968 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.968 * [taylor]: Taking taylor expansion of y in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.969 * [taylor]: Taking taylor expansion of 2.0 in y 1.969 * [backup-simplify]: Simplify 2.0 into 2.0 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.969 * [taylor]: Taking taylor expansion of x in y 1.969 * [backup-simplify]: Simplify x into x 1.969 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.969 * [backup-simplify]: Simplify (+ 0 1) into 1 1.970 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [taylor]: Taking taylor expansion of 1 in x 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.972 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.972 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 1.972 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.972 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.973 * [taylor]: Taking taylor expansion of 2.0 in x 1.973 * [backup-simplify]: Simplify 2.0 into 2.0 1.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [backup-simplify]: Simplify (+ 1 0) into 1 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.981 * [backup-simplify]: Simplify (- 0) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [taylor]: Taking taylor expansion of 0 in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.983 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.983 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.984 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.984 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.984 * * * [progress]: simplifying candidates 1.986 * [simplify]: Simplifying: (- (log (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4))) (log (- (* y y) (* 2.0 x)))) (log (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x)))) (exp (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x)))) (/ (* (* (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (+ (- (* 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h2 h2) (* h0 h1)) (* h1 h1))) (+ (+ (* h2 h2) (* h0 h1)) (* h1 h1))) (sqrt (+ (+ (* h2 h2) (* h0 h1)) (* h1 h1))) (sqrt (+ (+ (* h2 h2) (* h0 h1)) (* h1 h1))) (+ (pow (+ (* h2 h2) (* h0 h1)) 3) (pow (* h1 h1) 3)) (+ (* (+ (* h2 h2) (* h0 h1)) (+ (* h2 h2) (* h0 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h2 h2) (* h0 h1)) (* h1 h1)))) (- (* (+ (* h2 h2) (* h0 h1)) (+ (* h2 h2) (* h0 h1))) (* (* h1 h1) (* h1 h1))) (- (+ (* h2 h2) (* h0 h1)) (* h1 h1)) (+ (* h0 h1) (* h1 h1)) (+ (* h0 h1) (pow h2 2)) (+ (* h0 h1) (* h3 (pow h2 2))) (+ (* h0 h1) (* h3 (pow h2 2))) (+ (pow h1 2) (+ (* h0 h1) (* h3 (pow h2 2)))) (+ (pow h1 2) (+ (* h0 h1) (pow h2 2))) (+ (pow h1 2) (+ (* h0 h1) (pow h2 2))) (+ (pow h1 2) (+ (* h0 h1) (pow h2 2))) (+ (pow h1 2) (+ (* h0 h1) (* h3 (pow h2 2)))) (+ (pow h1 2) (+ (* h0 h1) (* h3 (pow h2 2)))) (+ (pow h1 2) (+ (* h0 h1) (pow h2 2))) (+ (pow h1 2) (+ (* h0 h1) (pow h2 2))) (+ (pow h1 2) (+ (* h0 h1) (pow h2 2))) 1.996 * * [simplify]: iteration 0 : 475 enodes (cost 2077 ) 2.006 * * [simplify]: iteration 1 : 2260 enodes (cost 1960 ) 2.047 * * [simplify]: iteration 2 : 5001 enodes (cost 1929 ) 2.055 * * * [progress]: adding candidates to table 2.419 * [progress]: [Phase 3 of 3] Extracting. 2.419 * * [regime]: Finding splitpoints for: (# #) 2.420 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 2.420 * * * * [regimes]: Trying to branch on (* y y) from (# #) 2.431 * * * * [regimes]: Trying to branch on y from (# #) 2.443 * * * * [regimes]: Trying to branch on x from (# #) 2.457 * * * [regime]: Found split indices: #