10.205 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.072 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.072 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [backup-simplify]: Simplify x into x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.075 * [backup-simplify]: Simplify (+ 1 0) into 1 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.080 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [backup-simplify]: Simplify y into y 0.082 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.105 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.105 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.106 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.107 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.121 * * * [progress]: simplifying candidates 0.122 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.816 * * * [progress]: adding candidates to table 0.852 * * [progress]: iteration 2 / 4 0.852 * * * [progress]: picking best candidate 0.856 * * * * [pick]: Picked # 0.857 * * * [progress]: localizing error 0.891 * * * [progress]: generating rewritten candidates 0.891 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.106 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.170 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.273 * * * [progress]: generating series expansions 1.274 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.274 * [backup-simplify]: Simplify (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) into (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) 1.275 * [approximate]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in (x y) around 0 1.275 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 1.275 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 1.275 * [taylor]: Taking taylor expansion of (pow x 6) in y 1.275 * [taylor]: Taking taylor expansion of x in y 1.275 * [backup-simplify]: Simplify x into x 1.275 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 1.275 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 1.275 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.275 * [taylor]: Taking taylor expansion of x in y 1.275 * [backup-simplify]: Simplify x into x 1.275 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.275 * [taylor]: Taking taylor expansion of x in y 1.275 * [backup-simplify]: Simplify x into x 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.275 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 1.276 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 1.276 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 1.276 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.276 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.276 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 1.276 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.277 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 1.277 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 1.277 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 1.277 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [taylor]: Taking taylor expansion of (pow y 6) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.277 * [backup-simplify]: Simplify y into y 1.277 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 1.277 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 1.277 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.277 * [backup-simplify]: Simplify y into y 1.277 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.277 * [backup-simplify]: Simplify y into y 1.277 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.277 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.278 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 1.278 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 1.278 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.278 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.278 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 1.278 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 1.278 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 1.278 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 1.278 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 1.278 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [taylor]: Taking taylor expansion of (pow y 6) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.279 * [backup-simplify]: Simplify y into y 1.279 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 1.279 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 1.279 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.279 * [taylor]: Taking taylor expansion of y in x 1.279 * [backup-simplify]: Simplify y into y 1.279 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.279 * [taylor]: Taking taylor expansion of y in x 1.279 * [backup-simplify]: Simplify y into y 1.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.279 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.279 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 1.279 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 1.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.280 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.280 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 1.280 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 1.280 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 1.281 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (* 0 (pow y 3))) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.282 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (pow y 2) (/ 0 (pow y 4))))) into 0 1.283 * [taylor]: Taking taylor expansion of 0 in y 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (+ (* 0 0) (* 0 (pow y 3)))) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.285 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (* 1 1) into 1 1.286 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.286 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.286 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.286 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.287 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (pow y 2) (/ (- (pow y 2)) (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 1 1.287 * [taylor]: Taking taylor expansion of 1 in y 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (* 1 1) into 1 1.287 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.289 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.289 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3))))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (pow y 2) (/ 0 (pow y 4))) (* 0 (/ (- (pow y 2)) (pow y 4))) (* 1 (/ 0 (pow y 4))))) into 0 1.294 * [taylor]: Taking taylor expansion of 0 in y 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.297 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.298 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3)))))) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.300 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.300 * [backup-simplify]: Simplify (* 1 1) into 1 1.301 * [backup-simplify]: Simplify (* 1 1) into 1 1.301 * [backup-simplify]: Simplify (+ 0 1) into 1 1.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.303 * [backup-simplify]: Simplify (- 0) into 0 1.304 * [backup-simplify]: Simplify (+ 1 0) into 1 1.304 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (pow y 2) (/ 1 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 1 (/ (- (pow y 2)) (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.304 * [taylor]: Taking taylor expansion of 0 in y 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.306 * [backup-simplify]: Simplify (/ (+ (pow (* (/ 1 x) (/ 1 x)) 3) (pow (* (/ 1 y) (/ 1 y)) 3)) (- (pow (/ 1 y) 4) (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (pow (/ 1 x) 4)))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) 1.306 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (x y) around 0 1.306 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.306 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* 1 1) into 1 1.307 * [backup-simplify]: Simplify (* 1 1) into 1 1.307 * [backup-simplify]: Simplify (* 1 1) into 1 1.307 * [backup-simplify]: Simplify (/ 1 1) into 1 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 1.307 * [taylor]: Taking taylor expansion of (pow x 6) in y 1.307 * [taylor]: Taking taylor expansion of x in y 1.307 * [backup-simplify]: Simplify x into x 1.308 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.308 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 1.308 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 1.308 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 1.308 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.308 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.308 * [taylor]: Taking taylor expansion of x in y 1.308 * [backup-simplify]: Simplify x into x 1.308 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.308 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.308 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.308 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.308 * [taylor]: Taking taylor expansion of y in y 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.310 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.310 * [taylor]: Taking taylor expansion of x in y 1.310 * [backup-simplify]: Simplify x into x 1.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.310 * [taylor]: Taking taylor expansion of y in y 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.310 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.311 * [backup-simplify]: Simplify (+ 1 0) into 1 1.311 * [backup-simplify]: Simplify (+ 0 1) into 1 1.311 * [backup-simplify]: Simplify (+ 1 0) into 1 1.312 * [backup-simplify]: Simplify (/ 1 1) into 1 1.312 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 1.312 * [taylor]: Taking taylor expansion of (pow y 6) in x 1.312 * [taylor]: Taking taylor expansion of y in x 1.312 * [backup-simplify]: Simplify y into y 1.312 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.312 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.312 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 1.312 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.312 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.314 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* 1 1) into 1 1.315 * [backup-simplify]: Simplify (* 1 1) into 1 1.315 * [backup-simplify]: Simplify (/ 1 1) into 1 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.315 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [backup-simplify]: Simplify y into y 1.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.315 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.315 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.315 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.315 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.316 * [backup-simplify]: Simplify y into y 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.316 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.317 * [backup-simplify]: Simplify (+ 0 1) into 1 1.317 * [backup-simplify]: Simplify (+ 1 0) into 1 1.317 * [backup-simplify]: Simplify (+ 1 0) into 1 1.318 * [backup-simplify]: Simplify (/ 1 1) into 1 1.318 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 1.318 * [taylor]: Taking taylor expansion of (pow y 6) in x 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [backup-simplify]: Simplify y into y 1.318 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.318 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.318 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 1.318 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.318 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.320 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.320 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (* 1 1) into 1 1.320 * [backup-simplify]: Simplify (* 1 1) into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.321 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.321 * [taylor]: Taking taylor expansion of y in x 1.321 * [backup-simplify]: Simplify y into y 1.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.321 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.321 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.321 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.321 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.321 * [taylor]: Taking taylor expansion of y in x 1.321 * [backup-simplify]: Simplify y into y 1.322 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.322 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.322 * [backup-simplify]: Simplify (+ 0 1) into 1 1.323 * [backup-simplify]: Simplify (+ 1 0) into 1 1.323 * [backup-simplify]: Simplify (+ 1 0) into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [taylor]: Taking taylor expansion of 1 in y 1.323 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.329 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.334 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.336 * [taylor]: Taking taylor expansion of y in y 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (* 1 1) into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 4))) into (/ 1 (pow y 4)) 1.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 1.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 1.360 * [taylor]: Taking taylor expansion of 0 in y 1.360 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.363 * [backup-simplify]: Simplify (/ (+ (pow (* (/ 1 (- x)) (/ 1 (- x))) 3) (pow (* (/ 1 (- y)) (/ 1 (- y))) 3)) (- (pow (/ 1 (- y)) 4) (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (pow (/ 1 (- x)) 4)))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) 1.363 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (x y) around 0 1.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.363 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.363 * [taylor]: Taking taylor expansion of y in y 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 1.364 * [taylor]: Taking taylor expansion of (pow x 6) in y 1.364 * [taylor]: Taking taylor expansion of x in y 1.364 * [backup-simplify]: Simplify x into x 1.365 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.365 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 1.365 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 1.365 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 1.365 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.365 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.365 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.365 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.365 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (* 1 1) into 1 1.366 * [backup-simplify]: Simplify (* 1 1) into 1 1.366 * [backup-simplify]: Simplify (/ 1 1) into 1 1.366 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.366 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.367 * [backup-simplify]: Simplify x into x 1.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.367 * [taylor]: Taking taylor expansion of y in y 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.367 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.368 * [backup-simplify]: Simplify (+ 1 0) into 1 1.368 * [backup-simplify]: Simplify (+ 0 1) into 1 1.368 * [backup-simplify]: Simplify (+ 1 0) into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 1.369 * [taylor]: Taking taylor expansion of (pow y 6) in x 1.369 * [taylor]: Taking taylor expansion of y in x 1.369 * [backup-simplify]: Simplify y into y 1.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.369 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.369 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 1.369 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (/ 1 1) into 1 1.370 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.370 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.371 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.371 * [taylor]: Taking taylor expansion of y in x 1.372 * [backup-simplify]: Simplify y into y 1.372 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.372 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.372 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.372 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.372 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.372 * [taylor]: Taking taylor expansion of y in x 1.372 * [backup-simplify]: Simplify y into y 1.372 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.373 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.373 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.373 * [backup-simplify]: Simplify (+ 0 1) into 1 1.373 * [backup-simplify]: Simplify (+ 1 0) into 1 1.374 * [backup-simplify]: Simplify (+ 1 0) into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 1.374 * [taylor]: Taking taylor expansion of (pow y 6) in x 1.374 * [taylor]: Taking taylor expansion of y in x 1.374 * [backup-simplify]: Simplify y into y 1.374 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.374 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.374 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 1.375 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.375 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (* 1 1) into 1 1.375 * [backup-simplify]: Simplify (* 1 1) into 1 1.376 * [backup-simplify]: Simplify (* 1 1) into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.376 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.377 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.377 * [taylor]: Taking taylor expansion of y in x 1.377 * [backup-simplify]: Simplify y into y 1.377 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.377 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.378 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.378 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.378 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.378 * [taylor]: Taking taylor expansion of y in x 1.378 * [backup-simplify]: Simplify y into y 1.378 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.378 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.379 * [backup-simplify]: Simplify (+ 0 1) into 1 1.379 * [backup-simplify]: Simplify (+ 1 0) into 1 1.379 * [backup-simplify]: Simplify (+ 1 0) into 1 1.380 * [backup-simplify]: Simplify (/ 1 1) into 1 1.380 * [taylor]: Taking taylor expansion of 1 in y 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.385 * [taylor]: Taking taylor expansion of 0 in y 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.390 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.391 * [taylor]: Taking taylor expansion of y in y 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in y 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 4))) into (/ 1 (pow y 4)) 1.409 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.411 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 1.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 1.412 * [taylor]: Taking taylor expansion of 0 in y 1.412 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.414 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.414 * [backup-simplify]: Simplify (* (* x x) (* y y)) into (* (pow x 2) (pow y 2)) 1.414 * [approximate]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in (x y) around 0 1.414 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.415 * [backup-simplify]: Simplify x into x 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.415 * [taylor]: Taking taylor expansion of y in x 1.415 * [backup-simplify]: Simplify y into y 1.415 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.415 * [taylor]: Taking taylor expansion of y in x 1.415 * [backup-simplify]: Simplify y into y 1.415 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.415 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (* 1 1) into 1 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.417 * [taylor]: Taking taylor expansion of 0 in y 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.419 * [taylor]: Taking taylor expansion of 0 in y 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.422 * [taylor]: Taking taylor expansion of 0 in y 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (* 1 (pow (* y x) 2)) into (* (pow x 2) (pow y 2)) 1.423 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (/ 1 (* (pow x 2) (pow y 2))) 1.423 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 1.423 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.423 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.423 * [backup-simplify]: Simplify x into x 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.423 * [backup-simplify]: Simplify (* 1 1) into 1 1.423 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.424 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.424 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.424 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.424 * [taylor]: Taking taylor expansion of y in x 1.424 * [backup-simplify]: Simplify y into y 1.424 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.424 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.424 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.424 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.424 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.424 * [taylor]: Taking taylor expansion of y in x 1.425 * [backup-simplify]: Simplify y into y 1.425 * [backup-simplify]: Simplify (* 1 1) into 1 1.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.425 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.425 * [taylor]: Taking taylor expansion of y in y 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (* 1 1) into 1 1.426 * [backup-simplify]: Simplify (/ 1 1) into 1 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.427 * [taylor]: Taking taylor expansion of 0 in y 1.427 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.431 * [taylor]: Taking taylor expansion of 0 in y 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.440 * [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 1.440 * [taylor]: Taking taylor expansion of 0 in y 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) into (* (pow x 2) (pow y 2)) 1.440 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 1 (* (pow x 2) (pow y 2))) 1.440 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 1.441 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.441 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [backup-simplify]: Simplify x into x 1.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.441 * [taylor]: Taking taylor expansion of y in y 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.441 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.441 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.441 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.441 * [taylor]: Taking taylor expansion of y in x 1.442 * [backup-simplify]: Simplify y into y 1.442 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.442 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.442 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.442 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.442 * [taylor]: Taking taylor expansion of y in x 1.442 * [backup-simplify]: Simplify y into y 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.443 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.443 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.443 * [taylor]: Taking taylor expansion of y in y 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.445 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.448 * [taylor]: Taking taylor expansion of 0 in y 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.452 * [taylor]: Taking taylor expansion of 0 in y 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.457 * [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 1.457 * [taylor]: Taking taylor expansion of 0 in y 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) into (* (pow x 2) (pow y 2)) 1.458 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.458 * [backup-simplify]: Simplify (- (* (* x x) (* y y)) (pow x 4)) into (- (* (pow x 2) (pow y 2)) (pow x 4)) 1.458 * [approximate]: Taking taylor expansion of (- (* (pow x 2) (pow y 2)) (pow x 4)) in (x y) around 0 1.458 * [taylor]: Taking taylor expansion of (- (* (pow x 2) (pow y 2)) (pow x 4)) in y 1.458 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.458 * [taylor]: Taking taylor expansion of x in y 1.458 * [backup-simplify]: Simplify x into x 1.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.458 * [taylor]: Taking taylor expansion of x in y 1.459 * [backup-simplify]: Simplify x into x 1.459 * [taylor]: Taking taylor expansion of (- (* (pow x 2) (pow y 2)) (pow x 4)) in x 1.459 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.459 * [backup-simplify]: Simplify y into y 1.459 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [taylor]: Taking taylor expansion of (- (* (pow x 2) (pow y 2)) (pow x 4)) in x 1.459 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.459 * [backup-simplify]: Simplify y into y 1.459 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.460 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.460 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.460 * [taylor]: Taking taylor expansion of y in y 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [taylor]: Taking taylor expansion of 0 in y 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.466 * [backup-simplify]: Simplify (* 1 1) into 1 1.466 * [backup-simplify]: Simplify (- 1) into -1 1.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.467 * [taylor]: Taking taylor expansion of -1 in y 1.467 * [backup-simplify]: Simplify -1 into -1 1.467 * [backup-simplify]: Simplify -1 into -1 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (* 1 1) into 1 1.467 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.471 * [backup-simplify]: Simplify (- 0) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [taylor]: Taking taylor expansion of 0 in y 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.476 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [taylor]: Taking taylor expansion of 0 in y 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (+ (* 1 (pow (* y x) 2)) (* -1 (pow (* 1 x) 4))) into (- (* (pow x 2) (pow y 2)) (pow x 4)) 1.478 * [backup-simplify]: Simplify (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (pow (/ 1 x) 4)) into (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) 1.478 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in (x y) around 0 1.478 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in y 1.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.478 * [taylor]: Taking taylor expansion of x in y 1.478 * [backup-simplify]: Simplify x into x 1.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.478 * [taylor]: Taking taylor expansion of y in y 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.478 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.478 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.479 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.479 * [taylor]: Taking taylor expansion of x in y 1.479 * [backup-simplify]: Simplify x into x 1.479 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.479 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.479 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.479 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.479 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.479 * [taylor]: Taking taylor expansion of y in x 1.479 * [backup-simplify]: Simplify y into y 1.479 * [backup-simplify]: Simplify (* 1 1) into 1 1.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.480 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.480 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (* 1 1) into 1 1.480 * [backup-simplify]: Simplify (* 1 1) into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.481 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.481 * [taylor]: Taking taylor expansion of y in x 1.481 * [backup-simplify]: Simplify y into y 1.481 * [backup-simplify]: Simplify (* 1 1) into 1 1.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.481 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.482 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (* 1 1) into 1 1.482 * [backup-simplify]: Simplify (* 1 1) into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [backup-simplify]: Simplify (- 1) into -1 1.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.483 * [taylor]: Taking taylor expansion of -1 in y 1.483 * [backup-simplify]: Simplify -1 into -1 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [taylor]: Taking taylor expansion of 0 in y 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.488 * [taylor]: Taking taylor expansion of y in y 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (* 1 1) into 1 1.489 * [backup-simplify]: Simplify (/ 1 1) into 1 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify -1 into -1 1.489 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in y 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [taylor]: Taking taylor expansion of 0 in y 1.499 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2))) into (- (* (pow x 2) (pow y 2)) (pow x 4)) 1.501 * [backup-simplify]: Simplify (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (pow (/ 1 (- x)) 4)) into (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) 1.501 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in (x y) around 0 1.501 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in y 1.501 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.501 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [backup-simplify]: Simplify x into x 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.502 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.502 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.502 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [backup-simplify]: Simplify x into x 1.502 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.502 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.503 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.503 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.503 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.503 * [taylor]: Taking taylor expansion of y in x 1.503 * [backup-simplify]: Simplify y into y 1.503 * [backup-simplify]: Simplify (* 1 1) into 1 1.503 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.503 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.503 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.503 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 4))) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.504 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [backup-simplify]: Simplify y into y 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.505 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.505 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.507 * [backup-simplify]: Simplify (- 1) into -1 1.507 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.507 * [taylor]: Taking taylor expansion of -1 in y 1.507 * [backup-simplify]: Simplify -1 into -1 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.509 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* 1 1) into 1 1.512 * [backup-simplify]: Simplify (/ 1 1) into 1 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify -1 into -1 1.512 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in y 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [taylor]: Taking taylor expansion of 0 in y 1.523 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2))) into (- (* (pow x 2) (pow y 2)) (pow x 4)) 1.525 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.525 * [backup-simplify]: Simplify (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 1.525 * [approximate]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in (y x) around 0 1.525 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 1.525 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 1.525 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.525 * [taylor]: Taking taylor expansion of y in x 1.525 * [backup-simplify]: Simplify y into y 1.525 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.526 * [taylor]: Taking taylor expansion of y in x 1.526 * [backup-simplify]: Simplify y into y 1.526 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 1.526 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [backup-simplify]: Simplify x into x 1.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [backup-simplify]: Simplify x into x 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 1.526 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [backup-simplify]: Simplify x into x 1.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [backup-simplify]: Simplify x into x 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.527 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.527 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 1.527 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.527 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.528 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [taylor]: Taking taylor expansion of 0 in x 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.529 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.530 * [backup-simplify]: Simplify (* 1 1) into 1 1.530 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.530 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 1.530 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 1.530 * [taylor]: Taking taylor expansion of (- (pow x 2)) in x 1.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.533 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.533 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 1.533 * [backup-simplify]: Simplify (- 0) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [taylor]: Taking taylor expansion of 0 in x 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.536 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 1.536 * [backup-simplify]: Simplify (+ 1 0) into 1 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.538 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.538 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (+ 1 0) into 1 1.539 * [taylor]: Taking taylor expansion of 1 in x 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify (- 1) into -1 1.540 * [backup-simplify]: Simplify -1 into -1 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 4)) (+ (* -1 (pow (* x y) 2)) (* 1 (pow (* 1 y) 4)))) into (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) 1.541 * [backup-simplify]: Simplify (- (pow (/ 1 y) 4) (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (pow (/ 1 x) 4))) into (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) 1.541 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in (y x) around 0 1.541 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.542 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.543 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.543 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.543 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.543 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.543 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.543 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.544 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.544 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.544 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.544 * [taylor]: Taking taylor expansion of x in y 1.544 * [backup-simplify]: Simplify x into x 1.544 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.544 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.544 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.544 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.544 * [taylor]: Taking taylor expansion of y in y 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* 1 1) into 1 1.545 * [backup-simplify]: Simplify (* 1 1) into 1 1.545 * [backup-simplify]: Simplify (/ 1 1) into 1 1.545 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.545 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.545 * [taylor]: Taking taylor expansion of x in y 1.545 * [backup-simplify]: Simplify x into x 1.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.546 * [backup-simplify]: Simplify (* 1 1) into 1 1.546 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.546 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.546 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.546 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.546 * [taylor]: Taking taylor expansion of x in y 1.546 * [backup-simplify]: Simplify x into x 1.546 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.546 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.547 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.547 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.547 * [taylor]: Taking taylor expansion of y in y 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (* 1 1) into 1 1.547 * [backup-simplify]: Simplify (* 1 1) into 1 1.548 * [backup-simplify]: Simplify (/ 1 1) into 1 1.548 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.548 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.548 * [taylor]: Taking taylor expansion of x in y 1.548 * [backup-simplify]: Simplify x into x 1.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.548 * [backup-simplify]: Simplify (* 1 1) into 1 1.548 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.549 * [backup-simplify]: Simplify (+ 0 1) into 1 1.549 * [backup-simplify]: Simplify (+ 1 0) into 1 1.549 * [taylor]: Taking taylor expansion of 1 in x 1.549 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [taylor]: Taking taylor expansion of 0 in x 1.551 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 1.554 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 1.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.558 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.558 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.559 * [backup-simplify]: Simplify (- 0) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [taylor]: Taking taylor expansion of 0 in x 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.563 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.563 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.564 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.565 * [backup-simplify]: Simplify (/ 1 1) into 1 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (- 1) into -1 1.565 * [backup-simplify]: Simplify -1 into -1 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (+ (* -1 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 4)))) into (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) 1.567 * [backup-simplify]: Simplify (- (pow (/ 1 (- y)) 4) (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (pow (/ 1 (- x)) 4))) into (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) 1.567 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in (y x) around 0 1.567 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.567 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (* 1 1) into 1 1.568 * [backup-simplify]: Simplify (* 1 1) into 1 1.568 * [backup-simplify]: Simplify (/ 1 1) into 1 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.568 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.568 * [taylor]: Taking taylor expansion of y in x 1.568 * [backup-simplify]: Simplify y into y 1.568 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.568 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.568 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.568 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.568 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.569 * [taylor]: Taking taylor expansion of y in x 1.569 * [backup-simplify]: Simplify y into y 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.569 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.569 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.569 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.569 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.569 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.569 * [taylor]: Taking taylor expansion of x in y 1.569 * [backup-simplify]: Simplify x into x 1.569 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.570 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.570 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.570 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.570 * [taylor]: Taking taylor expansion of y in y 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (/ 1 1) into 1 1.571 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.571 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.571 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.571 * [taylor]: Taking taylor expansion of x in y 1.571 * [backup-simplify]: Simplify x into x 1.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.571 * [taylor]: Taking taylor expansion of y in y 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.571 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.571 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.571 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.572 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.572 * [taylor]: Taking taylor expansion of x in y 1.572 * [backup-simplify]: Simplify x into x 1.572 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.572 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.572 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.572 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (* 1 1) into 1 1.573 * [backup-simplify]: Simplify (* 1 1) into 1 1.573 * [backup-simplify]: Simplify (/ 1 1) into 1 1.573 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.573 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.573 * [backup-simplify]: Simplify x into x 1.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.574 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.574 * [backup-simplify]: Simplify (+ 0 1) into 1 1.574 * [backup-simplify]: Simplify (+ 1 0) into 1 1.574 * [taylor]: Taking taylor expansion of 1 in x 1.574 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [taylor]: Taking taylor expansion of 0 in x 1.577 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 1.579 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 1.579 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.584 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.585 * [backup-simplify]: Simplify (- 0) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [taylor]: Taking taylor expansion of 0 in x 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.588 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (- 1) into -1 1.590 * [backup-simplify]: Simplify -1 into -1 1.590 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (+ (* -1 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 4)))) into (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) 1.591 * * * [progress]: simplifying candidates 1.593 * [simplify]: Simplifying: (- (log (+ (pow (* x x) 3) (pow (* y y) 3))) (log (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (log (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (exp (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (* (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (* (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (* (cbrt (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (cbrt (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))))) (cbrt (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (* (* (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (sqrt (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (sqrt (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (- (+ (pow (* x x) 3) (pow (* y y) 3))) (- (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (/ (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))))) (/ (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) 1) (/ (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (/ (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (+ (pow (sqrt y) 4) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow (sqrt y) 4) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (+ (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (+ (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) 1) (/ (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (* (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 1) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (pow (sqrt y) 4) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow (sqrt y) 4) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y 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(/ (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (+ (* x x) (* y y)) (- (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (+ (* x x) (* y y)) (- (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y y)) (pow x 4))))) (/ (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 1) (/ (+ (* x x) (* y y)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (/ 1 (* (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))))) (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ 1 (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (/ 1 1) (/ (+ (pow (* x x) 3) (pow (* y y) 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(* x x) (* y y)) (pow x 4)) (- (pow x 4)) (/ (exp (pow y 4)) (/ (exp (* (* x x) (* y y))) (exp (pow x 4)))) (/ (exp (pow y 4)) (exp (- (* (* x x) (* y y)) (pow x 4)))) (log (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (exp (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (* (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (cbrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (* (* (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (- (pow (pow y 4) 3) (pow (- (* (* x x) (* y y)) (pow x 4)) 3)) (+ (* (pow y 4) (pow y 4)) (+ (* (- (* (* x x) (* y y)) (pow x 4)) (- (* (* x x) (* y y)) (pow x 4))) (* (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (- (- (* (* x x) (* y y)) (pow x 4))) (- (* (pow y 4) (pow y 4)) (* (- (* (* x x) (* y y)) (pow x 4)) (- (* (* x x) (* y y)) (pow x 4)))) (+ (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (pow (sqrt y) 4) (sqrt (- (* (* x x) (* y y)) (pow x 4)))) (- (pow (sqrt y) 4) (sqrt (- (* (* x x) (* y y)) (pow x 4)))) (+ (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4)))) (- (sqrt (pow y 4)) (sqrt (- (* (* x x) (* y y)) (pow x 4)))) (+ (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y y)) (pow x 4)))) (- (pow y (/ 4 2)) (sqrt (- (* (* x x) (* y y)) (pow x 4)))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (- (pow y 4) (* (* x x) (* y y))) (- (pow y 4) (* (* x x) (* y y))) (- (pow y 4) (* (* x x) (* y y))) (- (- (* (* x x) (* y y)) (pow x 4))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* (pow x 2) (pow y 2)) (* (pow x 2) (pow y 2)) (* (pow x 2) (pow y 2)) (- (* (pow x 2) (pow y 2)) (pow x 4)) (- (* (pow x 2) (pow y 2)) (pow x 4)) (- (* (pow x 2) (pow y 2)) (pow x 4)) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) 2.753 * * * [progress]: adding candidates to table 3.298 * [progress]: [Phase 3 of 3] Extracting. 3.298 * * [regime]: Finding splitpoints for: (# #) 3.299 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 3.299 * * * * [regimes]: Trying to branch on (* y y) from (# #) 3.319 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.336 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 3.351 * * * * [regimes]: Trying to branch on y from (# #) 3.366 * * * * [regimes]: Trying to branch on x from (# #) 3.379 * * * [regime]: Found split indices: #