7.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (/ x (+ y x)) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.032 * [simplify]: Simplified to: (/ x (+ y x)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.070 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [backup-simplify]: Simplify x into x 0.070 * [taylor]: Taking taylor expansion of (+ x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [backup-simplify]: Simplify x into x 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ x 0) into x 0.070 * [backup-simplify]: Simplify (/ x x) into 1 0.070 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of (+ x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (+ 0 y) into y 0.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.070 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (+ x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (+ 0 y) into y 0.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 3) 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 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.094 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.094 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [backup-simplify]: Simplify x into x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [backup-simplify]: Simplify x into x 0.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (* x 1) into x 0.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.095 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.095 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [backup-simplify]: Simplify (+ 0 1) into 1 0.097 * [backup-simplify]: Simplify (* 0 1) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.098 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.099 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify (+ 0 1) into 1 0.100 * [backup-simplify]: Simplify (* 0 1) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.101 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.119 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.119 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 0.120 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (* x 1) into x 0.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.121 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (* 0 1) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.124 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.124 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [backup-simplify]: Simplify (+ 0 1) into 1 0.125 * [backup-simplify]: Simplify (* 0 1) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.126 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of 1 in y 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * * * [progress]: simplifying candidates 0.136 * [simplify]: Simplifying: (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.137 * * [simplify]: Extracting # 2 : cost 0 0.137 * * [simplify]: Extracting # 3 : cost 0 0.137 * * [simplify]: Extracting # 4 : cost 0 0.137 * * [simplify]: Extracting # 5 : cost 0 0.137 * * [simplify]: Extracting # 6 : cost 0 0.137 * * [simplify]: Extracting # 7 : cost 0 0.137 * * [simplify]: iteration 0 : 59 enodes (cost 324 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.150 * * [simplify]: Extracting # 1 : cost 0 0.150 * * [simplify]: Extracting # 2 : cost 0 0.150 * * [simplify]: Extracting # 3 : cost 0 0.151 * * [simplify]: Extracting # 4 : cost 0 0.151 * * [simplify]: iteration 1 : 119 enodes (cost 305 ) 0.210 * * [simplify]: Extracting # 0 : cost 0 0.211 * * [simplify]: Extracting # 1 : cost 0 0.211 * * [simplify]: Extracting # 2 : cost 0 0.212 * * [simplify]: Extracting # 3 : cost 0 0.212 * * [simplify]: Extracting # 4 : cost 0 0.213 * * [simplify]: iteration 2 : 270 enodes (cost 287 ) 0.323 * * [simplify]: Extracting # 0 : cost 0 0.323 * * [simplify]: Extracting # 1 : cost 0 0.324 * * [simplify]: Extracting # 2 : cost 0 0.324 * * [simplify]: Extracting # 3 : cost 0 0.325 * * [simplify]: Extracting # 4 : cost 0 0.325 * * [simplify]: iteration 3 : 550 enodes (cost 287 ) 0.648 * * [simplify]: Extracting # 0 : cost 0 0.650 * * [simplify]: Extracting # 1 : cost 0 0.653 * * [simplify]: Extracting # 2 : cost 0 0.655 * * [simplify]: Extracting # 3 : cost 0 0.658 * * [simplify]: iteration 4 : 1428 enodes (cost 287 ) 3.041 * * [simplify]: Extracting # 0 : cost 0 3.047 * * [simplify]: Extracting # 1 : cost 0 3.051 * * [simplify]: Extracting # 2 : cost 0 3.054 * * [simplify]: Extracting # 3 : cost 0 3.058 * * [simplify]: Extracting # 4 : cost 0 3.062 * * [simplify]: iteration 5 : 4631 enodes (cost 287 ) 4.641 * * [simplify]: Extracting # 0 : cost 0 4.651 * * [simplify]: Extracting # 1 : cost 0 4.659 * * [simplify]: Extracting # 2 : cost 0 4.667 * * [simplify]: Extracting # 3 : cost 0 4.675 * * [simplify]: iteration done: 5000 enodes (cost 287 ) 4.676 * [simplify]: Simplified to: (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 4.677 * * * [progress]: adding candidates to table 4.743 * * [progress]: iteration 2 / 4 4.743 * * * [progress]: picking best candidate 4.750 * * * * [pick]: Picked # 4.750 * * * [progress]: localizing error 4.762 * * * [progress]: generating rewritten candidates 4.762 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.825 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.854 * * * [progress]: generating series expansions 4.854 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.855 * [backup-simplify]: Simplify (* x (/ 1 (+ y x))) into (/ x (+ x y)) 4.855 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 4.855 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.855 * [taylor]: Taking taylor expansion of x in y 4.855 * [backup-simplify]: Simplify x into x 4.855 * [taylor]: Taking taylor expansion of (+ x y) in y 4.855 * [taylor]: Taking taylor expansion of x in y 4.855 * [backup-simplify]: Simplify x into x 4.855 * [taylor]: Taking taylor expansion of y in y 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (+ x 0) into x 4.855 * [backup-simplify]: Simplify (/ x x) into 1 4.855 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [taylor]: Taking taylor expansion of (+ x y) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [taylor]: Taking taylor expansion of y in x 4.855 * [backup-simplify]: Simplify y into y 4.855 * [backup-simplify]: Simplify (+ 0 y) into y 4.855 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.855 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.856 * [taylor]: Taking taylor expansion of x in x 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.856 * [taylor]: Taking taylor expansion of (+ x y) in x 4.856 * [taylor]: Taking taylor expansion of x in x 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.856 * [taylor]: Taking taylor expansion of y in x 4.856 * [backup-simplify]: Simplify y into y 4.856 * [backup-simplify]: Simplify (+ 0 y) into y 4.856 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.856 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.856 * [taylor]: Taking taylor expansion of y in y 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify (+ 1 0) into 1 4.858 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.858 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.858 * [taylor]: Taking taylor expansion of y in y 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 1 into 1 4.859 * [backup-simplify]: Simplify (* 1 1) into 1 4.859 * [backup-simplify]: Simplify (/ 1 1) into 1 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (- 0) into 0 4.863 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.865 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.865 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.865 * [taylor]: Taking taylor expansion of y in y 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.866 * [backup-simplify]: Simplify (* 1 1) into 1 4.866 * [backup-simplify]: Simplify (* 1 1) into 1 4.866 * [backup-simplify]: Simplify (/ 1 1) into 1 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (- 0) into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.878 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.878 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.878 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.878 * [taylor]: Taking taylor expansion of x in y 4.878 * [backup-simplify]: Simplify x into x 4.878 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.878 * [taylor]: Taking taylor expansion of y in y 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (/ 1 1) into 1 4.878 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.878 * [taylor]: Taking taylor expansion of x in y 4.878 * [backup-simplify]: Simplify x into x 4.878 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.879 * [backup-simplify]: Simplify (+ 1 0) into 1 4.879 * [backup-simplify]: Simplify (* x 1) into x 4.879 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.879 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.879 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.879 * [taylor]: Taking taylor expansion of x in x 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.879 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.879 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.879 * [taylor]: Taking taylor expansion of y in x 4.879 * [backup-simplify]: Simplify y into y 4.879 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.879 * [taylor]: Taking taylor expansion of x in x 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (/ 1 1) into 1 4.880 * [backup-simplify]: Simplify (+ 0 1) into 1 4.881 * [backup-simplify]: Simplify (* 0 1) into 0 4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.881 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.882 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.882 * [backup-simplify]: Simplify (/ 1 1) into 1 4.882 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.882 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.882 * [taylor]: Taking taylor expansion of x in x 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.882 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.882 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.882 * [taylor]: Taking taylor expansion of y in x 4.882 * [backup-simplify]: Simplify y into y 4.882 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.883 * [taylor]: Taking taylor expansion of x in x 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [backup-simplify]: Simplify (+ 0 1) into 1 4.884 * [backup-simplify]: Simplify (* 0 1) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.885 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [taylor]: Taking taylor expansion of 1 in y 4.885 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (+ 0 0) into 0 4.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.888 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.888 * [taylor]: Taking taylor expansion of y in y 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 1 into 1 4.888 * [backup-simplify]: Simplify (/ 1 1) into 1 4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (- 0) into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.894 * [taylor]: Taking taylor expansion of y in y 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (* 1 1) into 1 4.895 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (- 0) into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.902 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.902 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.902 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.902 * [taylor]: Taking taylor expansion of x in y 4.902 * [backup-simplify]: Simplify x into x 4.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.902 * [taylor]: Taking taylor expansion of y in y 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.903 * [backup-simplify]: Simplify (/ 1 1) into 1 4.903 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.903 * [taylor]: Taking taylor expansion of x in y 4.903 * [backup-simplify]: Simplify x into x 4.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.903 * [backup-simplify]: Simplify (+ 1 0) into 1 4.903 * [backup-simplify]: Simplify (* x 1) into x 4.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.903 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.903 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.903 * [taylor]: Taking taylor expansion of x in x 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.903 * [taylor]: Taking taylor expansion of y in x 4.904 * [backup-simplify]: Simplify y into y 4.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.904 * [taylor]: Taking taylor expansion of x in x 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (/ 1 1) into 1 4.904 * [backup-simplify]: Simplify (+ 0 1) into 1 4.905 * [backup-simplify]: Simplify (* 0 1) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.906 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.907 * [backup-simplify]: Simplify (/ 1 1) into 1 4.907 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.907 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.907 * [taylor]: Taking taylor expansion of x in x 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.907 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.907 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.907 * [taylor]: Taking taylor expansion of y in x 4.907 * [backup-simplify]: Simplify y into y 4.907 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.907 * [taylor]: Taking taylor expansion of x in x 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [backup-simplify]: Simplify (+ 0 1) into 1 4.908 * [backup-simplify]: Simplify (* 0 1) into 0 4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.909 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.910 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.910 * [backup-simplify]: Simplify (/ 1 1) into 1 4.910 * [taylor]: Taking taylor expansion of 1 in y 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.912 * [backup-simplify]: Simplify (+ 0 0) into 0 4.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.913 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.913 * [taylor]: Taking taylor expansion of y in y 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (- 0) into 0 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.917 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.919 * [taylor]: Taking taylor expansion of y in y 4.919 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.920 * [backup-simplify]: Simplify (* 1 1) into 1 4.920 * [backup-simplify]: Simplify (/ 1 1) into 1 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (- 0) into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.927 * [backup-simplify]: Simplify (/ 1 (+ y x)) into (/ 1 (+ x y)) 4.927 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 4.927 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.927 * [taylor]: Taking taylor expansion of (+ x y) in x 4.927 * [taylor]: Taking taylor expansion of x in x 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 1 into 1 4.927 * [taylor]: Taking taylor expansion of y in x 4.927 * [backup-simplify]: Simplify y into y 4.927 * [backup-simplify]: Simplify (+ 0 y) into y 4.928 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.928 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.928 * [taylor]: Taking taylor expansion of (+ x y) in y 4.928 * [taylor]: Taking taylor expansion of x in y 4.928 * [backup-simplify]: Simplify x into x 4.928 * [taylor]: Taking taylor expansion of y in y 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (+ x 0) into x 4.928 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.928 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.928 * [taylor]: Taking taylor expansion of (+ x y) in y 4.928 * [taylor]: Taking taylor expansion of x in y 4.928 * [backup-simplify]: Simplify x into x 4.928 * [taylor]: Taking taylor expansion of y in y 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (+ x 0) into x 4.928 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.928 * [taylor]: Taking taylor expansion of x in x 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify (+ 0 1) into 1 4.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 4.930 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (* 1 1) into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (- 0) into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify (+ 0 0) into 0 4.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 4.936 * [taylor]: Taking taylor expansion of (pow x 3) in x 4.936 * [taylor]: Taking taylor expansion of x in x 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (* 1 1) into 1 4.937 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (- 0) into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) (/ 1 x))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 4.949 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 4.949 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 4.949 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.949 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.949 * [taylor]: Taking taylor expansion of y in x 4.949 * [backup-simplify]: Simplify y into y 4.949 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.949 * [taylor]: Taking taylor expansion of x in x 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [backup-simplify]: Simplify (+ 0 1) into 1 4.950 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.950 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.950 * [taylor]: Taking taylor expansion of y in y 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (/ 1 1) into 1 4.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.951 * [taylor]: Taking taylor expansion of x in y 4.951 * [backup-simplify]: Simplify x into x 4.951 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.951 * [backup-simplify]: Simplify (+ 1 0) into 1 4.952 * [backup-simplify]: Simplify (/ 1 1) into 1 4.952 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.952 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.952 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.952 * [taylor]: Taking taylor expansion of y in y 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.957 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.958 * [taylor]: Taking taylor expansion of x in y 4.958 * [backup-simplify]: Simplify x into x 4.958 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.959 * [backup-simplify]: Simplify (+ 1 0) into 1 4.959 * [backup-simplify]: Simplify (/ 1 1) into 1 4.960 * [taylor]: Taking taylor expansion of 1 in x 4.960 * [backup-simplify]: Simplify 1 into 1 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 4.961 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.961 * [taylor]: Taking taylor expansion of x in x 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.963 * [backup-simplify]: Simplify (- 0) into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.965 * [backup-simplify]: Simplify (+ 0 0) into 0 4.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 4.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.966 * [taylor]: Taking taylor expansion of x in x 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify 1 into 1 4.966 * [backup-simplify]: Simplify (* 1 1) into 1 4.967 * [backup-simplify]: Simplify (/ 1 1) into 1 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (- 0) into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 4.973 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 4.973 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 4.974 * [taylor]: Taking taylor expansion of -1 in x 4.974 * [backup-simplify]: Simplify -1 into -1 4.974 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.974 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.974 * [taylor]: Taking taylor expansion of y in x 4.974 * [backup-simplify]: Simplify y into y 4.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.974 * [taylor]: Taking taylor expansion of x in x 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (/ 1 1) into 1 4.975 * [backup-simplify]: Simplify (+ 0 1) into 1 4.975 * [backup-simplify]: Simplify (/ -1 1) into -1 4.975 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.975 * [taylor]: Taking taylor expansion of -1 in y 4.975 * [backup-simplify]: Simplify -1 into -1 4.975 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.975 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.975 * [taylor]: Taking taylor expansion of y in y 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (/ 1 1) into 1 4.976 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.976 * [taylor]: Taking taylor expansion of x in y 4.976 * [backup-simplify]: Simplify x into x 4.976 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.976 * [backup-simplify]: Simplify (+ 1 0) into 1 4.977 * [backup-simplify]: Simplify (/ -1 1) into -1 4.977 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.977 * [taylor]: Taking taylor expansion of -1 in y 4.977 * [backup-simplify]: Simplify -1 into -1 4.977 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.977 * [taylor]: Taking taylor expansion of y in y 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [backup-simplify]: Simplify (/ 1 1) into 1 4.977 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.977 * [taylor]: Taking taylor expansion of x in y 4.978 * [backup-simplify]: Simplify x into x 4.978 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.978 * [backup-simplify]: Simplify (+ 1 0) into 1 4.978 * [backup-simplify]: Simplify (/ -1 1) into -1 4.979 * [taylor]: Taking taylor expansion of -1 in x 4.979 * [backup-simplify]: Simplify -1 into -1 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 x) 1)))) into (/ 1 x) 4.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.980 * [taylor]: Taking taylor expansion of x in x 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify 1 into 1 4.981 * [backup-simplify]: Simplify (/ 1 1) into 1 4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 x) 1)))) into (- (/ 1 (pow x 2))) 4.985 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.985 * [taylor]: Taking taylor expansion of x in x 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 1 into 1 4.986 * [backup-simplify]: Simplify (* 1 1) into 1 4.986 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- 0) into 0 4.992 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * * * [progress]: simplifying candidates 4.995 * [simplify]: Simplifying: (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 4.997 * * [simplify]: Extracting # 0 : cost 0 4.997 * * [simplify]: Extracting # 1 : cost 0 4.997 * * [simplify]: Extracting # 2 : cost 0 4.997 * * [simplify]: Extracting # 3 : cost 0 4.997 * * [simplify]: Extracting # 4 : cost 0 4.997 * * [simplify]: Extracting # 5 : cost 0 4.997 * * [simplify]: Extracting # 6 : cost 0 4.998 * * [simplify]: iteration 0 : 95 enodes (cost 755 ) 5.033 * * [simplify]: Extracting # 0 : cost 0 5.033 * * [simplify]: Extracting # 1 : cost 0 5.033 * * [simplify]: Extracting # 2 : cost 0 5.033 * * [simplify]: Extracting # 3 : cost 0 5.034 * * [simplify]: Extracting # 4 : cost 0 5.034 * * [simplify]: iteration 1 : 220 enodes (cost 579 ) 5.089 * * [simplify]: Extracting # 0 : cost 0 5.089 * * [simplify]: Extracting # 1 : cost 0 5.090 * * [simplify]: Extracting # 2 : cost 0 5.090 * * [simplify]: Extracting # 3 : cost 0 5.090 * * [simplify]: Extracting # 4 : cost 0 5.091 * * [simplify]: Extracting # 5 : cost 0 5.091 * * [simplify]: iteration 2 : 449 enodes (cost 517 ) 5.324 * * [simplify]: Extracting # 0 : cost 0 5.326 * * [simplify]: Extracting # 1 : cost 0 5.327 * * [simplify]: Extracting # 2 : cost 0 5.328 * * [simplify]: Extracting # 3 : cost 0 5.329 * * [simplify]: Extracting # 4 : cost 0 5.331 * * [simplify]: iteration 3 : 902 enodes (cost 517 ) 6.107 * * [simplify]: Extracting # 0 : cost 0 6.109 * * [simplify]: Extracting # 1 : cost 0 6.111 * * [simplify]: Extracting # 2 : cost 0 6.113 * * [simplify]: Extracting # 3 : cost 0 6.115 * * [simplify]: Extracting # 4 : cost 0 6.116 * * [simplify]: Extracting # 5 : cost 0 6.118 * * [simplify]: iteration 4 : 1931 enodes (cost 517 ) 8.773 * * [simplify]: Extracting # 0 : cost 0 8.779 * * [simplify]: Extracting # 1 : cost 0 8.788 * * [simplify]: Extracting # 2 : cost 0 8.794 * * [simplify]: Extracting # 3 : cost 0 8.799 * * [simplify]: Extracting # 4 : cost 0 8.804 * * [simplify]: iteration done: 5000 enodes (cost 517 ) 8.804 * [simplify]: Simplified to: (/ x (+ x y)) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x -1 (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (exp (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) -1 (- (+ y x)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ y x) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 8.805 * * * [progress]: adding candidates to table 8.949 * * [progress]: iteration 3 / 4 8.949 * * * [progress]: picking best candidate 8.951 * * * * [pick]: Picked # 8.951 * * * [progress]: localizing error 8.957 * * * [progress]: generating rewritten candidates 8.957 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.975 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 9.012 * * * [progress]: generating series expansions 9.012 * * * * [progress]: [ 1 / 2 ] generating series at (2) 9.012 * [backup-simplify]: Simplify (/ 1 (/ (+ y x) x)) into (/ x (+ x y)) 9.012 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 9.012 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 9.012 * [taylor]: Taking taylor expansion of x in x 9.012 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [taylor]: Taking taylor expansion of (+ x y) in x 9.013 * [taylor]: Taking taylor expansion of x in x 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [taylor]: Taking taylor expansion of y in x 9.013 * [backup-simplify]: Simplify y into y 9.013 * [backup-simplify]: Simplify (+ 0 y) into y 9.013 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.013 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 9.013 * [taylor]: Taking taylor expansion of x in y 9.013 * [backup-simplify]: Simplify x into x 9.013 * [taylor]: Taking taylor expansion of (+ x y) in y 9.013 * [taylor]: Taking taylor expansion of x in y 9.013 * [backup-simplify]: Simplify x into x 9.013 * [taylor]: Taking taylor expansion of y in y 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [backup-simplify]: Simplify (+ x 0) into x 9.013 * [backup-simplify]: Simplify (/ x x) into 1 9.013 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 9.013 * [taylor]: Taking taylor expansion of x in y 9.013 * [backup-simplify]: Simplify x into x 9.013 * [taylor]: Taking taylor expansion of (+ x y) in y 9.013 * [taylor]: Taking taylor expansion of x in y 9.013 * [backup-simplify]: Simplify x into x 9.013 * [taylor]: Taking taylor expansion of y in y 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [backup-simplify]: Simplify (+ x 0) into x 9.013 * [backup-simplify]: Simplify (/ x x) into 1 9.013 * [taylor]: Taking taylor expansion of 1 in x 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify (+ 0 1) into 1 9.014 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 9.014 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.014 * [taylor]: Taking taylor expansion of x in x 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [backup-simplify]: Simplify (/ 1 1) into 1 9.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.016 * [backup-simplify]: Simplify (- 0) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify (+ 0 0) into 0 9.016 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (- (/ 1 x)) (/ 1 x)))) into (/ 1 (pow x 2)) 9.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.016 * [taylor]: Taking taylor expansion of x in x 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.016 * [backup-simplify]: Simplify (* 1 1) into 1 9.017 * [backup-simplify]: Simplify (/ 1 1) into 1 9.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (- 0) into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 9.021 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 9.021 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 9.021 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.021 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.021 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.021 * [taylor]: Taking taylor expansion of y in x 9.021 * [backup-simplify]: Simplify y into y 9.021 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.021 * [taylor]: Taking taylor expansion of x in x 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (/ 1 1) into 1 9.022 * [taylor]: Taking taylor expansion of x in x 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (+ 0 1) into 1 9.023 * [backup-simplify]: Simplify (* 1 0) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.024 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 9.024 * [backup-simplify]: Simplify (/ 1 1) into 1 9.024 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 9.025 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.025 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.025 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.025 * [taylor]: Taking taylor expansion of y in y 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (/ 1 1) into 1 9.025 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.025 * [taylor]: Taking taylor expansion of x in y 9.025 * [backup-simplify]: Simplify x into x 9.025 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.025 * [taylor]: Taking taylor expansion of x in y 9.025 * [backup-simplify]: Simplify x into x 9.026 * [backup-simplify]: Simplify (+ 1 0) into 1 9.026 * [backup-simplify]: Simplify (* 1 x) into x 9.026 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.026 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 9.026 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.026 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.026 * [taylor]: Taking taylor expansion of y in y 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (/ 1 1) into 1 9.026 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.026 * [taylor]: Taking taylor expansion of x in y 9.026 * [backup-simplify]: Simplify x into x 9.026 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.027 * [taylor]: Taking taylor expansion of x in y 9.027 * [backup-simplify]: Simplify x into x 9.027 * [backup-simplify]: Simplify (+ 1 0) into 1 9.027 * [backup-simplify]: Simplify (* 1 x) into x 9.027 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.027 * [taylor]: Taking taylor expansion of x in x 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (/ 1 1) into 1 9.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 9.030 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 9.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 9.030 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 9.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.030 * [taylor]: Taking taylor expansion of x in x 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 1 into 1 9.031 * [backup-simplify]: Simplify (* 1 1) into 1 9.031 * [backup-simplify]: Simplify (/ 1 1) into 1 9.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (- 0) into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.037 * [backup-simplify]: Simplify (+ 0 0) into 0 9.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 9.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 9.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.038 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.038 * [taylor]: Taking taylor expansion of x in x 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify (* 1 1) into 1 9.039 * [backup-simplify]: Simplify (* 1 1) into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.049 * [backup-simplify]: Simplify (- 0) into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 9.050 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 9.050 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 9.050 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.050 * [taylor]: Taking taylor expansion of y in x 9.050 * [backup-simplify]: Simplify y into y 9.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.051 * [taylor]: Taking taylor expansion of x in x 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (/ 1 1) into 1 9.051 * [taylor]: Taking taylor expansion of x in x 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.052 * [backup-simplify]: Simplify (+ 0 1) into 1 9.052 * [backup-simplify]: Simplify (* 1 0) into 0 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.053 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 9.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.054 * [taylor]: Taking taylor expansion of y in y 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.054 * [taylor]: Taking taylor expansion of x in y 9.054 * [backup-simplify]: Simplify x into x 9.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.055 * [taylor]: Taking taylor expansion of x in y 9.055 * [backup-simplify]: Simplify x into x 9.055 * [backup-simplify]: Simplify (+ 1 0) into 1 9.055 * [backup-simplify]: Simplify (* 1 x) into x 9.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.055 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 9.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.055 * [taylor]: Taking taylor expansion of y in y 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.056 * [backup-simplify]: Simplify (/ 1 1) into 1 9.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.056 * [taylor]: Taking taylor expansion of x in y 9.056 * [backup-simplify]: Simplify x into x 9.056 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.056 * [taylor]: Taking taylor expansion of x in y 9.056 * [backup-simplify]: Simplify x into x 9.056 * [backup-simplify]: Simplify (+ 1 0) into 1 9.057 * [backup-simplify]: Simplify (* 1 x) into x 9.057 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.057 * [taylor]: Taking taylor expansion of x in x 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [backup-simplify]: Simplify (/ 1 1) into 1 9.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.058 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.059 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 9.059 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 9.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 9.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 9.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.060 * [taylor]: Taking taylor expansion of x in x 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (* 1 1) into 1 9.060 * [backup-simplify]: Simplify (/ 1 1) into 1 9.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.064 * [backup-simplify]: Simplify (- 0) into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 9.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 9.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.067 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.067 * [taylor]: Taking taylor expansion of x in x 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [backup-simplify]: Simplify (* 1 1) into 1 9.068 * [backup-simplify]: Simplify (* 1 1) into 1 9.069 * [backup-simplify]: Simplify (/ 1 1) into 1 9.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 9.080 * [backup-simplify]: Simplify (/ (+ y x) x) into (/ (+ x y) x) 9.080 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 9.080 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 9.080 * [taylor]: Taking taylor expansion of (+ x y) in x 9.080 * [taylor]: Taking taylor expansion of x in x 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [taylor]: Taking taylor expansion of y in x 9.080 * [backup-simplify]: Simplify y into y 9.080 * [taylor]: Taking taylor expansion of x in x 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (+ 0 y) into y 9.080 * [backup-simplify]: Simplify (/ y 1) into y 9.080 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 9.080 * [taylor]: Taking taylor expansion of (+ x y) in y 9.080 * [taylor]: Taking taylor expansion of x in y 9.080 * [backup-simplify]: Simplify x into x 9.080 * [taylor]: Taking taylor expansion of y in y 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [taylor]: Taking taylor expansion of x in y 9.080 * [backup-simplify]: Simplify x into x 9.080 * [backup-simplify]: Simplify (+ x 0) into x 9.080 * [backup-simplify]: Simplify (/ x x) into 1 9.080 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 9.080 * [taylor]: Taking taylor expansion of (+ x y) in y 9.080 * [taylor]: Taking taylor expansion of x in y 9.080 * [backup-simplify]: Simplify x into x 9.081 * [taylor]: Taking taylor expansion of y in y 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 1 into 1 9.081 * [taylor]: Taking taylor expansion of x in y 9.081 * [backup-simplify]: Simplify x into x 9.081 * [backup-simplify]: Simplify (+ x 0) into x 9.081 * [backup-simplify]: Simplify (/ x x) into 1 9.081 * [taylor]: Taking taylor expansion of 1 in x 9.081 * [backup-simplify]: Simplify 1 into 1 9.081 * [backup-simplify]: Simplify (+ 0 1) into 1 9.081 * [backup-simplify]: Simplify (- (/ 1 x) (+ (* 1 (/ 0 x)))) into (/ 1 x) 9.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.081 * [taylor]: Taking taylor expansion of x in x 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 1 into 1 9.081 * [backup-simplify]: Simplify (/ 1 1) into 1 9.081 * [backup-simplify]: Simplify 1 into 1 9.082 * [backup-simplify]: Simplify 1 into 1 9.082 * [backup-simplify]: Simplify (+ 0 0) into 0 9.082 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)))) into 0 9.082 * [taylor]: Taking taylor expansion of 0 in x 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify (+ 0 0) into 0 9.083 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.083 * [taylor]: Taking taylor expansion of 0 in x 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify (+ 0 0) into 0 9.084 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.084 * [taylor]: Taking taylor expansion of 0 in x 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 x) y))) into (+ (/ y x) 1) 9.084 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 9.084 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 9.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.084 * [taylor]: Taking taylor expansion of y in x 9.084 * [backup-simplify]: Simplify y into y 9.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.084 * [taylor]: Taking taylor expansion of x in x 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ 1 1) into 1 9.085 * [taylor]: Taking taylor expansion of x in x 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.085 * [taylor]: Taking taylor expansion of y in y 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ 1 1) into 1 9.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.085 * [taylor]: Taking taylor expansion of x in y 9.085 * [backup-simplify]: Simplify x into x 9.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.085 * [taylor]: Taking taylor expansion of x in y 9.085 * [backup-simplify]: Simplify x into x 9.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.085 * [taylor]: Taking taylor expansion of y in y 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.086 * [backup-simplify]: Simplify (/ 1 1) into 1 9.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.086 * [taylor]: Taking taylor expansion of x in y 9.086 * [backup-simplify]: Simplify x into x 9.086 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.086 * [taylor]: Taking taylor expansion of x in y 9.086 * [backup-simplify]: Simplify x into x 9.086 * [backup-simplify]: Simplify (+ 1 0) into 1 9.086 * [backup-simplify]: Simplify (* 1 x) into x 9.086 * [taylor]: Taking taylor expansion of x in x 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 9.087 * [taylor]: Taking taylor expansion of 1 in x 9.087 * [backup-simplify]: Simplify 1 into 1 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.088 * [backup-simplify]: Simplify (+ 0 0) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 9.088 * [taylor]: Taking taylor expansion of 0 in x 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify 1 into 1 9.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 x)))) into 0 9.090 * [taylor]: Taking taylor expansion of 0 in x 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.091 * [backup-simplify]: Simplify (+ 0 0) into 0 9.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 9.091 * [taylor]: Taking taylor expansion of 0 in x 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (+ (/ y x) 1) 9.092 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 9.092 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 9.092 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.092 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.092 * [taylor]: Taking taylor expansion of y in x 9.092 * [backup-simplify]: Simplify y into y 9.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.092 * [taylor]: Taking taylor expansion of x in x 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [backup-simplify]: Simplify (/ 1 1) into 1 9.092 * [taylor]: Taking taylor expansion of x in x 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.092 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.092 * [taylor]: Taking taylor expansion of y in y 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.093 * [backup-simplify]: Simplify (/ 1 1) into 1 9.093 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.093 * [taylor]: Taking taylor expansion of x in y 9.093 * [backup-simplify]: Simplify x into x 9.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.093 * [taylor]: Taking taylor expansion of x in y 9.093 * [backup-simplify]: Simplify x into x 9.093 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.093 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.093 * [taylor]: Taking taylor expansion of y in y 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify 1 into 1 9.093 * [backup-simplify]: Simplify (/ 1 1) into 1 9.093 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.093 * [taylor]: Taking taylor expansion of x in y 9.093 * [backup-simplify]: Simplify x into x 9.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.093 * [taylor]: Taking taylor expansion of x in y 9.093 * [backup-simplify]: Simplify x into x 9.094 * [backup-simplify]: Simplify (+ 1 0) into 1 9.094 * [backup-simplify]: Simplify (* 1 x) into x 9.094 * [taylor]: Taking taylor expansion of x in x 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 1 into 1 9.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.094 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 9.094 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 9.094 * [taylor]: Taking taylor expansion of 1 in x 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 9.095 * [backup-simplify]: Simplify (+ 0 0) into 0 9.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 9.096 * [taylor]: Taking taylor expansion of 0 in x 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 x)))) into 0 9.097 * [taylor]: Taking taylor expansion of 0 in x 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.098 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 9.099 * [taylor]: Taking taylor expansion of 0 in x 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (+ (/ y x) 1) 9.099 * * * [progress]: simplifying candidates 9.105 * [simplify]: Simplifying: (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 9.107 * * [simplify]: Extracting # 0 : cost 0 9.107 * * [simplify]: Extracting # 1 : cost 0 9.107 * * [simplify]: Extracting # 2 : cost 0 9.108 * * [simplify]: Extracting # 3 : cost 0 9.108 * * [simplify]: Extracting # 4 : cost 0 9.108 * * [simplify]: Extracting # 5 : cost 0 9.108 * * [simplify]: Extracting # 6 : cost 0 9.109 * * [simplify]: iteration 0 : 156 enodes (cost 1634 ) 9.194 * * [simplify]: Extracting # 0 : cost 0 9.195 * * [simplify]: Extracting # 1 : cost 0 9.195 * * [simplify]: Extracting # 2 : cost 0 9.195 * * [simplify]: Extracting # 3 : cost 0 9.195 * * [simplify]: Extracting # 4 : cost 0 9.196 * * [simplify]: iteration 1 : 335 enodes (cost 1347 ) 9.283 * * [simplify]: Extracting # 0 : cost 0 9.284 * * [simplify]: Extracting # 1 : cost 0 9.285 * * [simplify]: Extracting # 2 : cost 0 9.286 * * [simplify]: Extracting # 3 : cost 0 9.287 * * [simplify]: Extracting # 4 : cost 0 9.288 * * [simplify]: iteration 2 : 654 enodes (cost 1180 ) 9.624 * * [simplify]: Extracting # 0 : cost 0 9.626 * * [simplify]: Extracting # 1 : cost 0 9.627 * * [simplify]: Extracting # 2 : cost 0 9.628 * * [simplify]: Extracting # 3 : cost 0 9.629 * * [simplify]: Extracting # 4 : cost 0 9.630 * * [simplify]: Extracting # 5 : cost 0 9.631 * * [simplify]: iteration 3 : 1319 enodes (cost 1156 ) 10.721 * * [simplify]: Extracting # 0 : cost 0 10.726 * * [simplify]: Extracting # 1 : cost 0 10.729 * * [simplify]: Extracting # 2 : cost 0 10.732 * * [simplify]: Extracting # 3 : cost 0 10.736 * * [simplify]: Extracting # 4 : cost 0 10.739 * * [simplify]: iteration 4 : 2384 enodes (cost 1156 ) 12.484 * * [simplify]: Extracting # 0 : cost 0 12.489 * * [simplify]: Extracting # 1 : cost 0 12.493 * * [simplify]: Extracting # 2 : cost 0 12.499 * * [simplify]: Extracting # 3 : cost 0 12.508 * * [simplify]: Extracting # 4 : cost 0 12.523 * * [simplify]: iteration done: 5000 enodes (cost 1155 ) 12.525 * [simplify]: Simplified to: -1 (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) -1 (- -1 (/ y x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ x (+ y x)) (/ (+ y x) x) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ x y)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (/ (cbrt (+ y x)) (cbrt x)) (cbrt (+ y x))) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x)) (* (/ (cbrt (+ x y)) (sqrt x)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ y x)) x) (/ (/ (sqrt (+ y x)) (cbrt x)) (cbrt x)) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* (+ (* x (- x y)) (* y y)) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 12.526 * * * [progress]: adding candidates to table 12.690 * * [progress]: iteration 4 / 4 12.690 * * * [progress]: picking best candidate 12.691 * * * * [pick]: Picked # 12.691 * * * [progress]: localizing error 12.699 * * * [progress]: generating rewritten candidates 12.699 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.710 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.726 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.843 * * * [progress]: generating series expansions 12.843 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.843 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.843 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.843 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.843 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.843 * [taylor]: Taking taylor expansion of x in y 12.843 * [backup-simplify]: Simplify x into x 12.843 * [taylor]: Taking taylor expansion of (+ x y) in y 12.843 * [taylor]: Taking taylor expansion of x in y 12.843 * [backup-simplify]: Simplify x into x 12.843 * [taylor]: Taking taylor expansion of y in y 12.843 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify 1 into 1 12.844 * [backup-simplify]: Simplify (+ x 0) into x 12.844 * [backup-simplify]: Simplify (/ x x) into 1 12.844 * [backup-simplify]: Simplify (sqrt 1) into 1 12.845 * [backup-simplify]: Simplify (+ 0 1) into 1 12.845 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.846 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.846 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.846 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.846 * [taylor]: Taking taylor expansion of x in x 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 1 into 1 12.846 * [taylor]: Taking taylor expansion of (+ x y) in x 12.846 * [taylor]: Taking taylor expansion of x in x 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 1 into 1 12.846 * [taylor]: Taking taylor expansion of y in x 12.846 * [backup-simplify]: Simplify y into y 12.846 * [backup-simplify]: Simplify (+ 0 y) into y 12.846 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.846 * [backup-simplify]: Simplify (sqrt 0) into 0 12.847 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.847 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.847 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.847 * [taylor]: Taking taylor expansion of x in x 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 1 into 1 12.847 * [taylor]: Taking taylor expansion of (+ x y) in x 12.847 * [taylor]: Taking taylor expansion of x in x 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 1 into 1 12.847 * [taylor]: Taking taylor expansion of y in x 12.847 * [backup-simplify]: Simplify y into y 12.847 * [backup-simplify]: Simplify (+ 0 y) into y 12.847 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.848 * [backup-simplify]: Simplify (sqrt 0) into 0 12.848 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.849 * [taylor]: Taking taylor expansion of 0 in y 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.849 * [taylor]: Taking taylor expansion of +nan.0 in y 12.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.849 * [taylor]: Taking taylor expansion of y in y 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify 1 into 1 12.849 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.851 * [backup-simplify]: Simplify (+ 1 0) into 1 12.851 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.852 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.852 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.852 * [taylor]: Taking taylor expansion of +nan.0 in y 12.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.852 * [taylor]: Taking taylor expansion of y in y 12.852 * [backup-simplify]: Simplify 0 into 0 12.852 * [backup-simplify]: Simplify 1 into 1 12.853 * [backup-simplify]: Simplify (* 1 1) into 1 12.853 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.856 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.858 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.858 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.858 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.858 * [taylor]: Taking taylor expansion of x in y 12.858 * [backup-simplify]: Simplify x into x 12.858 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.858 * [taylor]: Taking taylor expansion of y in y 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 1 into 1 12.858 * [backup-simplify]: Simplify (/ 1 1) into 1 12.858 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.859 * [taylor]: Taking taylor expansion of x in y 12.859 * [backup-simplify]: Simplify x into x 12.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.859 * [backup-simplify]: Simplify (+ 1 0) into 1 12.859 * [backup-simplify]: Simplify (* x 1) into x 12.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.859 * [backup-simplify]: Simplify (sqrt 0) into 0 12.860 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.860 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.860 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.860 * [taylor]: Taking taylor expansion of x in x 12.860 * [backup-simplify]: Simplify 0 into 0 12.860 * [backup-simplify]: Simplify 1 into 1 12.860 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.860 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.860 * [taylor]: Taking taylor expansion of y in x 12.860 * [backup-simplify]: Simplify y into y 12.860 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.860 * [taylor]: Taking taylor expansion of x in x 12.861 * [backup-simplify]: Simplify 0 into 0 12.861 * [backup-simplify]: Simplify 1 into 1 12.861 * [backup-simplify]: Simplify (/ 1 1) into 1 12.861 * [backup-simplify]: Simplify (+ 0 1) into 1 12.862 * [backup-simplify]: Simplify (* 0 1) into 0 12.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.862 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.863 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.863 * [backup-simplify]: Simplify (/ 1 1) into 1 12.864 * [backup-simplify]: Simplify (sqrt 1) into 1 12.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.865 * [backup-simplify]: Simplify (+ 0 0) into 0 12.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.867 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.867 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.867 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.867 * [taylor]: Taking taylor expansion of x in x 12.867 * [backup-simplify]: Simplify 0 into 0 12.867 * [backup-simplify]: Simplify 1 into 1 12.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.867 * [taylor]: Taking taylor expansion of y in x 12.867 * [backup-simplify]: Simplify y into y 12.867 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.867 * [taylor]: Taking taylor expansion of x in x 12.867 * [backup-simplify]: Simplify 0 into 0 12.867 * [backup-simplify]: Simplify 1 into 1 12.867 * [backup-simplify]: Simplify (/ 1 1) into 1 12.868 * [backup-simplify]: Simplify (+ 0 1) into 1 12.868 * [backup-simplify]: Simplify (* 0 1) into 0 12.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.869 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.869 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.870 * [backup-simplify]: Simplify (/ 1 1) into 1 12.870 * [backup-simplify]: Simplify (sqrt 1) into 1 12.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.872 * [backup-simplify]: Simplify (+ 0 0) into 0 12.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.873 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.873 * [taylor]: Taking taylor expansion of 1 in y 12.873 * [backup-simplify]: Simplify 1 into 1 12.873 * [backup-simplify]: Simplify 1 into 1 12.873 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.873 * [taylor]: Taking taylor expansion of -1/2 in y 12.873 * [backup-simplify]: Simplify -1/2 into -1/2 12.873 * [taylor]: Taking taylor expansion of y in y 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.875 * [backup-simplify]: Simplify 0 into 0 12.875 * [backup-simplify]: Simplify 0 into 0 12.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.876 * [backup-simplify]: Simplify (+ 0 0) into 0 12.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.879 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.879 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.879 * [taylor]: Taking taylor expansion of 3/8 in y 12.879 * [backup-simplify]: Simplify 3/8 into 3/8 12.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.879 * [taylor]: Taking taylor expansion of y in y 12.880 * [backup-simplify]: Simplify 0 into 0 12.880 * [backup-simplify]: Simplify 1 into 1 12.880 * [backup-simplify]: Simplify (* 1 1) into 1 12.880 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify 0 into 0 12.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.885 * [backup-simplify]: Simplify (+ 0 0) into 0 12.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.888 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.888 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.888 * [taylor]: Taking taylor expansion of -5/16 in y 12.888 * [backup-simplify]: Simplify -5/16 into -5/16 12.888 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.888 * [taylor]: Taking taylor expansion of y in y 12.888 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify 1 into 1 12.888 * [backup-simplify]: Simplify (* 1 1) into 1 12.888 * [backup-simplify]: Simplify (* 1 1) into 1 12.888 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 1 into 1 12.893 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.894 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.894 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.894 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.894 * [taylor]: Taking taylor expansion of x in y 12.894 * [backup-simplify]: Simplify x into x 12.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.894 * [taylor]: Taking taylor expansion of y in y 12.894 * [backup-simplify]: Simplify 0 into 0 12.894 * [backup-simplify]: Simplify 1 into 1 12.894 * [backup-simplify]: Simplify (/ 1 1) into 1 12.894 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.894 * [taylor]: Taking taylor expansion of x in y 12.894 * [backup-simplify]: Simplify x into x 12.894 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.894 * [backup-simplify]: Simplify (+ 1 0) into 1 12.894 * [backup-simplify]: Simplify (* x 1) into x 12.894 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.895 * [backup-simplify]: Simplify (sqrt 0) into 0 12.895 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.895 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.895 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.895 * [taylor]: Taking taylor expansion of x in x 12.895 * [backup-simplify]: Simplify 0 into 0 12.895 * [backup-simplify]: Simplify 1 into 1 12.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.895 * [taylor]: Taking taylor expansion of y in x 12.895 * [backup-simplify]: Simplify y into y 12.895 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.895 * [taylor]: Taking taylor expansion of x in x 12.895 * [backup-simplify]: Simplify 0 into 0 12.895 * [backup-simplify]: Simplify 1 into 1 12.896 * [backup-simplify]: Simplify (/ 1 1) into 1 12.896 * [backup-simplify]: Simplify (+ 0 1) into 1 12.896 * [backup-simplify]: Simplify (* 0 1) into 0 12.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.897 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.897 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.897 * [backup-simplify]: Simplify (/ 1 1) into 1 12.898 * [backup-simplify]: Simplify (sqrt 1) into 1 12.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.899 * [backup-simplify]: Simplify (+ 0 0) into 0 12.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.900 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.900 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.900 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.900 * [taylor]: Taking taylor expansion of x in x 12.900 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify 1 into 1 12.900 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.900 * [taylor]: Taking taylor expansion of y in x 12.900 * [backup-simplify]: Simplify y into y 12.900 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.900 * [taylor]: Taking taylor expansion of x in x 12.900 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify 1 into 1 12.900 * [backup-simplify]: Simplify (/ 1 1) into 1 12.900 * [backup-simplify]: Simplify (+ 0 1) into 1 12.901 * [backup-simplify]: Simplify (* 0 1) into 0 12.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.905 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.906 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.906 * [backup-simplify]: Simplify (/ 1 1) into 1 12.906 * [backup-simplify]: Simplify (sqrt 1) into 1 12.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.907 * [backup-simplify]: Simplify (+ 0 0) into 0 12.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.908 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.908 * [taylor]: Taking taylor expansion of 1 in y 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.908 * [taylor]: Taking taylor expansion of -1/2 in y 12.908 * [backup-simplify]: Simplify -1/2 into -1/2 12.908 * [taylor]: Taking taylor expansion of y in y 12.908 * [backup-simplify]: Simplify 0 into 0 12.908 * [backup-simplify]: Simplify 1 into 1 12.909 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.909 * [backup-simplify]: Simplify 0 into 0 12.909 * [backup-simplify]: Simplify 0 into 0 12.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.910 * [backup-simplify]: Simplify (+ 0 0) into 0 12.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.912 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.913 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.913 * [taylor]: Taking taylor expansion of 3/8 in y 12.913 * [backup-simplify]: Simplify 3/8 into 3/8 12.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.913 * [taylor]: Taking taylor expansion of y in y 12.913 * [backup-simplify]: Simplify 0 into 0 12.913 * [backup-simplify]: Simplify 1 into 1 12.913 * [backup-simplify]: Simplify (* 1 1) into 1 12.913 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.915 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.916 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.917 * [backup-simplify]: Simplify (+ 0 0) into 0 12.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.919 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.919 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.919 * [taylor]: Taking taylor expansion of -5/16 in y 12.919 * [backup-simplify]: Simplify -5/16 into -5/16 12.919 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.919 * [taylor]: Taking taylor expansion of y in y 12.919 * [backup-simplify]: Simplify 0 into 0 12.919 * [backup-simplify]: Simplify 1 into 1 12.920 * [backup-simplify]: Simplify (* 1 1) into 1 12.920 * [backup-simplify]: Simplify (* 1 1) into 1 12.920 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.925 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify 1 into 1 12.925 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.925 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.925 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.925 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.925 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.925 * [taylor]: Taking taylor expansion of x in y 12.925 * [backup-simplify]: Simplify x into x 12.925 * [taylor]: Taking taylor expansion of (+ x y) in y 12.925 * [taylor]: Taking taylor expansion of x in y 12.925 * [backup-simplify]: Simplify x into x 12.925 * [taylor]: Taking taylor expansion of y in y 12.925 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify 1 into 1 12.925 * [backup-simplify]: Simplify (+ x 0) into x 12.925 * [backup-simplify]: Simplify (/ x x) into 1 12.925 * [backup-simplify]: Simplify (sqrt 1) into 1 12.926 * [backup-simplify]: Simplify (+ 0 1) into 1 12.926 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.926 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.926 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.926 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.926 * [taylor]: Taking taylor expansion of x in x 12.926 * [backup-simplify]: Simplify 0 into 0 12.926 * [backup-simplify]: Simplify 1 into 1 12.926 * [taylor]: Taking taylor expansion of (+ x y) in x 12.926 * [taylor]: Taking taylor expansion of x in x 12.926 * [backup-simplify]: Simplify 0 into 0 12.926 * [backup-simplify]: Simplify 1 into 1 12.926 * [taylor]: Taking taylor expansion of y in x 12.926 * [backup-simplify]: Simplify y into y 12.926 * [backup-simplify]: Simplify (+ 0 y) into y 12.926 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.927 * [backup-simplify]: Simplify (sqrt 0) into 0 12.927 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.927 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.927 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.927 * [taylor]: Taking taylor expansion of x in x 12.927 * [backup-simplify]: Simplify 0 into 0 12.927 * [backup-simplify]: Simplify 1 into 1 12.927 * [taylor]: Taking taylor expansion of (+ x y) in x 12.927 * [taylor]: Taking taylor expansion of x in x 12.927 * [backup-simplify]: Simplify 0 into 0 12.927 * [backup-simplify]: Simplify 1 into 1 12.927 * [taylor]: Taking taylor expansion of y in x 12.927 * [backup-simplify]: Simplify y into y 12.927 * [backup-simplify]: Simplify (+ 0 y) into y 12.927 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.927 * [backup-simplify]: Simplify (sqrt 0) into 0 12.928 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.928 * [taylor]: Taking taylor expansion of 0 in y 12.928 * [backup-simplify]: Simplify 0 into 0 12.928 * [backup-simplify]: Simplify 0 into 0 12.928 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.928 * [taylor]: Taking taylor expansion of +nan.0 in y 12.928 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.928 * [taylor]: Taking taylor expansion of y in y 12.928 * [backup-simplify]: Simplify 0 into 0 12.928 * [backup-simplify]: Simplify 1 into 1 12.928 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.929 * [backup-simplify]: Simplify 0 into 0 12.929 * [backup-simplify]: Simplify 0 into 0 12.929 * [backup-simplify]: Simplify (+ 1 0) into 1 12.929 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.930 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.930 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.930 * [taylor]: Taking taylor expansion of +nan.0 in y 12.930 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.930 * [taylor]: Taking taylor expansion of y in y 12.930 * [backup-simplify]: Simplify 0 into 0 12.930 * [backup-simplify]: Simplify 1 into 1 12.930 * [backup-simplify]: Simplify (* 1 1) into 1 12.931 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.933 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.934 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.934 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.934 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.934 * [taylor]: Taking taylor expansion of x in y 12.934 * [backup-simplify]: Simplify x into x 12.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.934 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.934 * [taylor]: Taking taylor expansion of y in y 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 1 into 1 12.934 * [backup-simplify]: Simplify (/ 1 1) into 1 12.934 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.934 * [taylor]: Taking taylor expansion of x in y 12.934 * [backup-simplify]: Simplify x into x 12.934 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.935 * [backup-simplify]: Simplify (+ 1 0) into 1 12.935 * [backup-simplify]: Simplify (* x 1) into x 12.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.935 * [backup-simplify]: Simplify (sqrt 0) into 0 12.935 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.935 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.935 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.935 * [taylor]: Taking taylor expansion of x in x 12.935 * [backup-simplify]: Simplify 0 into 0 12.935 * [backup-simplify]: Simplify 1 into 1 12.935 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.936 * [taylor]: Taking taylor expansion of y in x 12.936 * [backup-simplify]: Simplify y into y 12.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.936 * [taylor]: Taking taylor expansion of x in x 12.936 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify 1 into 1 12.936 * [backup-simplify]: Simplify (/ 1 1) into 1 12.936 * [backup-simplify]: Simplify (+ 0 1) into 1 12.936 * [backup-simplify]: Simplify (* 0 1) into 0 12.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.937 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.937 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.937 * [backup-simplify]: Simplify (/ 1 1) into 1 12.938 * [backup-simplify]: Simplify (sqrt 1) into 1 12.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.938 * [backup-simplify]: Simplify (+ 0 0) into 0 12.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.939 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.940 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.940 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.940 * [taylor]: Taking taylor expansion of x in x 12.940 * [backup-simplify]: Simplify 0 into 0 12.940 * [backup-simplify]: Simplify 1 into 1 12.940 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.940 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.940 * [taylor]: Taking taylor expansion of y in x 12.940 * [backup-simplify]: Simplify y into y 12.940 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.940 * [taylor]: Taking taylor expansion of x in x 12.940 * [backup-simplify]: Simplify 0 into 0 12.940 * [backup-simplify]: Simplify 1 into 1 12.940 * [backup-simplify]: Simplify (/ 1 1) into 1 12.940 * [backup-simplify]: Simplify (+ 0 1) into 1 12.941 * [backup-simplify]: Simplify (* 0 1) into 0 12.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.941 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.941 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.942 * [backup-simplify]: Simplify (/ 1 1) into 1 12.942 * [backup-simplify]: Simplify (sqrt 1) into 1 12.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.943 * [backup-simplify]: Simplify (+ 0 0) into 0 12.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.944 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.944 * [taylor]: Taking taylor expansion of 1 in y 12.944 * [backup-simplify]: Simplify 1 into 1 12.944 * [backup-simplify]: Simplify 1 into 1 12.944 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.944 * [taylor]: Taking taylor expansion of -1/2 in y 12.944 * [backup-simplify]: Simplify -1/2 into -1/2 12.944 * [taylor]: Taking taylor expansion of y in y 12.944 * [backup-simplify]: Simplify 0 into 0 12.944 * [backup-simplify]: Simplify 1 into 1 12.944 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.945 * [backup-simplify]: Simplify 0 into 0 12.945 * [backup-simplify]: Simplify 0 into 0 12.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.947 * [backup-simplify]: Simplify (+ 0 0) into 0 12.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.950 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.950 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.950 * [taylor]: Taking taylor expansion of 3/8 in y 12.950 * [backup-simplify]: Simplify 3/8 into 3/8 12.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.950 * [taylor]: Taking taylor expansion of y in y 12.950 * [backup-simplify]: Simplify 0 into 0 12.950 * [backup-simplify]: Simplify 1 into 1 12.950 * [backup-simplify]: Simplify (* 1 1) into 1 12.951 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.953 * [backup-simplify]: Simplify 0 into 0 12.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.954 * [backup-simplify]: Simplify 0 into 0 12.954 * [backup-simplify]: Simplify 0 into 0 12.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.955 * [backup-simplify]: Simplify (+ 0 0) into 0 12.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.957 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.957 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.957 * [taylor]: Taking taylor expansion of -5/16 in y 12.957 * [backup-simplify]: Simplify -5/16 into -5/16 12.957 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.958 * [taylor]: Taking taylor expansion of y in y 12.958 * [backup-simplify]: Simplify 0 into 0 12.958 * [backup-simplify]: Simplify 1 into 1 12.958 * [backup-simplify]: Simplify (* 1 1) into 1 12.958 * [backup-simplify]: Simplify (* 1 1) into 1 12.958 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.963 * [backup-simplify]: Simplify 0 into 0 12.963 * [backup-simplify]: Simplify 1 into 1 12.963 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.963 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.963 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.963 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.963 * [taylor]: Taking taylor expansion of x in y 12.963 * [backup-simplify]: Simplify x into x 12.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.963 * [taylor]: Taking taylor expansion of y in y 12.963 * [backup-simplify]: Simplify 0 into 0 12.963 * [backup-simplify]: Simplify 1 into 1 12.964 * [backup-simplify]: Simplify (/ 1 1) into 1 12.964 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.964 * [taylor]: Taking taylor expansion of x in y 12.964 * [backup-simplify]: Simplify x into x 12.964 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.964 * [backup-simplify]: Simplify (+ 1 0) into 1 12.964 * [backup-simplify]: Simplify (* x 1) into x 12.964 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.964 * [backup-simplify]: Simplify (sqrt 0) into 0 12.965 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.965 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.965 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.965 * [taylor]: Taking taylor expansion of x in x 12.965 * [backup-simplify]: Simplify 0 into 0 12.965 * [backup-simplify]: Simplify 1 into 1 12.965 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.965 * [taylor]: Taking taylor expansion of y in x 12.965 * [backup-simplify]: Simplify y into y 12.965 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.965 * [taylor]: Taking taylor expansion of x in x 12.965 * [backup-simplify]: Simplify 0 into 0 12.965 * [backup-simplify]: Simplify 1 into 1 12.965 * [backup-simplify]: Simplify (/ 1 1) into 1 12.965 * [backup-simplify]: Simplify (+ 0 1) into 1 12.966 * [backup-simplify]: Simplify (* 0 1) into 0 12.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.966 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.966 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.967 * [backup-simplify]: Simplify (/ 1 1) into 1 12.967 * [backup-simplify]: Simplify (sqrt 1) into 1 12.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.968 * [backup-simplify]: Simplify (+ 0 0) into 0 12.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.969 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.969 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.969 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.969 * [taylor]: Taking taylor expansion of x in x 12.969 * [backup-simplify]: Simplify 0 into 0 12.969 * [backup-simplify]: Simplify 1 into 1 12.969 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.969 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.969 * [taylor]: Taking taylor expansion of y in x 12.969 * [backup-simplify]: Simplify y into y 12.969 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.969 * [taylor]: Taking taylor expansion of x in x 12.969 * [backup-simplify]: Simplify 0 into 0 12.969 * [backup-simplify]: Simplify 1 into 1 12.969 * [backup-simplify]: Simplify (/ 1 1) into 1 12.970 * [backup-simplify]: Simplify (+ 0 1) into 1 12.970 * [backup-simplify]: Simplify (* 0 1) into 0 12.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.970 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.971 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.971 * [backup-simplify]: Simplify (/ 1 1) into 1 12.971 * [backup-simplify]: Simplify (sqrt 1) into 1 12.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.972 * [backup-simplify]: Simplify (+ 0 0) into 0 12.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.973 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.973 * [taylor]: Taking taylor expansion of 1 in y 12.973 * [backup-simplify]: Simplify 1 into 1 12.973 * [backup-simplify]: Simplify 1 into 1 12.973 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.973 * [taylor]: Taking taylor expansion of -1/2 in y 12.973 * [backup-simplify]: Simplify -1/2 into -1/2 12.973 * [taylor]: Taking taylor expansion of y in y 12.973 * [backup-simplify]: Simplify 0 into 0 12.973 * [backup-simplify]: Simplify 1 into 1 12.973 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.974 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.975 * [backup-simplify]: Simplify (+ 0 0) into 0 12.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.977 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.977 * [taylor]: Taking taylor expansion of 3/8 in y 12.977 * [backup-simplify]: Simplify 3/8 into 3/8 12.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.977 * [taylor]: Taking taylor expansion of y in y 12.977 * [backup-simplify]: Simplify 0 into 0 12.977 * [backup-simplify]: Simplify 1 into 1 12.977 * [backup-simplify]: Simplify (* 1 1) into 1 12.977 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.979 * [backup-simplify]: Simplify 0 into 0 12.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.980 * [backup-simplify]: Simplify 0 into 0 12.980 * [backup-simplify]: Simplify 0 into 0 12.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.981 * [backup-simplify]: Simplify (+ 0 0) into 0 12.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.983 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.983 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.983 * [taylor]: Taking taylor expansion of -5/16 in y 12.983 * [backup-simplify]: Simplify -5/16 into -5/16 12.983 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.983 * [taylor]: Taking taylor expansion of y in y 12.983 * [backup-simplify]: Simplify 0 into 0 12.983 * [backup-simplify]: Simplify 1 into 1 12.984 * [backup-simplify]: Simplify (* 1 1) into 1 12.984 * [backup-simplify]: Simplify (* 1 1) into 1 12.984 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify 1 into 1 12.992 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.992 * [backup-simplify]: Simplify (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) into (/ x (+ x y)) 12.992 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.992 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.992 * [taylor]: Taking taylor expansion of x in y 12.992 * [backup-simplify]: Simplify x into x 12.992 * [taylor]: Taking taylor expansion of (+ x y) in y 12.992 * [taylor]: Taking taylor expansion of x in y 12.992 * [backup-simplify]: Simplify x into x 12.992 * [taylor]: Taking taylor expansion of y in y 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify 1 into 1 12.993 * [backup-simplify]: Simplify (+ x 0) into x 12.993 * [backup-simplify]: Simplify (/ x x) into 1 12.993 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.993 * [taylor]: Taking taylor expansion of x in x 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.993 * [taylor]: Taking taylor expansion of (+ x y) in x 12.993 * [taylor]: Taking taylor expansion of x in x 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.993 * [taylor]: Taking taylor expansion of y in x 12.993 * [backup-simplify]: Simplify y into y 12.993 * [backup-simplify]: Simplify (+ 0 y) into y 12.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.993 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.993 * [taylor]: Taking taylor expansion of x in x 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.993 * [taylor]: Taking taylor expansion of (+ x y) in x 12.993 * [taylor]: Taking taylor expansion of x in x 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.993 * [taylor]: Taking taylor expansion of y in x 12.993 * [backup-simplify]: Simplify y into y 12.993 * [backup-simplify]: Simplify (+ 0 y) into y 12.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.994 * [taylor]: Taking taylor expansion of y in y 12.994 * [backup-simplify]: Simplify 0 into 0 12.994 * [backup-simplify]: Simplify 1 into 1 12.995 * [backup-simplify]: Simplify (/ 1 1) into 1 12.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.996 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify (+ 1 0) into 1 12.996 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.996 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.996 * [taylor]: Taking taylor expansion of y in y 12.996 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify 1 into 1 12.997 * [backup-simplify]: Simplify (* 1 1) into 1 12.997 * [backup-simplify]: Simplify (/ 1 1) into 1 12.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.001 * [backup-simplify]: Simplify (- 0) into 0 13.001 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.002 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify (+ 0 0) into 0 13.003 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 13.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 13.003 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.003 * [taylor]: Taking taylor expansion of y in y 13.003 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify 1 into 1 13.003 * [backup-simplify]: Simplify (* 1 1) into 1 13.003 * [backup-simplify]: Simplify (* 1 1) into 1 13.004 * [backup-simplify]: Simplify (/ 1 1) into 1 13.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.017 * [backup-simplify]: Simplify 0 into 0 13.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.019 * [backup-simplify]: Simplify (- 0) into 0 13.019 * [backup-simplify]: Simplify 0 into 0 13.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.020 * [backup-simplify]: Simplify 0 into 0 13.020 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.021 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.021 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.021 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.021 * [taylor]: Taking taylor expansion of x in y 13.021 * [backup-simplify]: Simplify x into x 13.021 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.021 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.021 * [taylor]: Taking taylor expansion of y in y 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.022 * [backup-simplify]: Simplify (/ 1 1) into 1 13.022 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.022 * [taylor]: Taking taylor expansion of x in y 13.022 * [backup-simplify]: Simplify x into x 13.022 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.022 * [backup-simplify]: Simplify (+ 1 0) into 1 13.022 * [backup-simplify]: Simplify (* x 1) into x 13.022 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.022 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.022 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.022 * [taylor]: Taking taylor expansion of x in x 13.023 * [backup-simplify]: Simplify 0 into 0 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.023 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.023 * [taylor]: Taking taylor expansion of y in x 13.023 * [backup-simplify]: Simplify y into y 13.023 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.023 * [taylor]: Taking taylor expansion of x in x 13.023 * [backup-simplify]: Simplify 0 into 0 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [backup-simplify]: Simplify (/ 1 1) into 1 13.024 * [backup-simplify]: Simplify (+ 0 1) into 1 13.024 * [backup-simplify]: Simplify (* 0 1) into 0 13.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.025 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.025 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.026 * [backup-simplify]: Simplify (/ 1 1) into 1 13.026 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.026 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.026 * [taylor]: Taking taylor expansion of x in x 13.026 * [backup-simplify]: Simplify 0 into 0 13.026 * [backup-simplify]: Simplify 1 into 1 13.026 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.026 * [taylor]: Taking taylor expansion of y in x 13.026 * [backup-simplify]: Simplify y into y 13.026 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.026 * [taylor]: Taking taylor expansion of x in x 13.026 * [backup-simplify]: Simplify 0 into 0 13.026 * [backup-simplify]: Simplify 1 into 1 13.027 * [backup-simplify]: Simplify (/ 1 1) into 1 13.027 * [backup-simplify]: Simplify (+ 0 1) into 1 13.027 * [backup-simplify]: Simplify (* 0 1) into 0 13.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.028 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.029 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.029 * [backup-simplify]: Simplify (/ 1 1) into 1 13.029 * [taylor]: Taking taylor expansion of 1 in y 13.029 * [backup-simplify]: Simplify 1 into 1 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.031 * [backup-simplify]: Simplify (+ 0 0) into 0 13.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.032 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.032 * [taylor]: Taking taylor expansion of y in y 13.032 * [backup-simplify]: Simplify 0 into 0 13.032 * [backup-simplify]: Simplify 1 into 1 13.032 * [backup-simplify]: Simplify (/ 1 1) into 1 13.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.034 * [backup-simplify]: Simplify (- 0) into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.036 * [backup-simplify]: Simplify (+ 0 0) into 0 13.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.038 * [taylor]: Taking taylor expansion of y in y 13.038 * [backup-simplify]: Simplify 0 into 0 13.038 * [backup-simplify]: Simplify 1 into 1 13.038 * [backup-simplify]: Simplify (* 1 1) into 1 13.039 * [backup-simplify]: Simplify (/ 1 1) into 1 13.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.044 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.045 * [backup-simplify]: Simplify (- 0) into 0 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 0 into 0 13.046 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.046 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.046 * [taylor]: Taking taylor expansion of x in y 13.046 * [backup-simplify]: Simplify x into x 13.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.046 * [taylor]: Taking taylor expansion of y in y 13.046 * [backup-simplify]: Simplify 0 into 0 13.046 * [backup-simplify]: Simplify 1 into 1 13.047 * [backup-simplify]: Simplify (/ 1 1) into 1 13.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.047 * [taylor]: Taking taylor expansion of x in y 13.047 * [backup-simplify]: Simplify x into x 13.047 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.047 * [backup-simplify]: Simplify (+ 1 0) into 1 13.047 * [backup-simplify]: Simplify (* x 1) into x 13.047 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.047 * [taylor]: Taking taylor expansion of x in x 13.047 * [backup-simplify]: Simplify 0 into 0 13.047 * [backup-simplify]: Simplify 1 into 1 13.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.048 * [taylor]: Taking taylor expansion of y in x 13.048 * [backup-simplify]: Simplify y into y 13.048 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.048 * [taylor]: Taking taylor expansion of x in x 13.048 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify 1 into 1 13.048 * [backup-simplify]: Simplify (/ 1 1) into 1 13.048 * [backup-simplify]: Simplify (+ 0 1) into 1 13.049 * [backup-simplify]: Simplify (* 0 1) into 0 13.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.050 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.050 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.050 * [backup-simplify]: Simplify (/ 1 1) into 1 13.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.051 * [taylor]: Taking taylor expansion of x in x 13.051 * [backup-simplify]: Simplify 0 into 0 13.051 * [backup-simplify]: Simplify 1 into 1 13.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.051 * [taylor]: Taking taylor expansion of y in x 13.051 * [backup-simplify]: Simplify y into y 13.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.051 * [taylor]: Taking taylor expansion of x in x 13.051 * [backup-simplify]: Simplify 0 into 0 13.051 * [backup-simplify]: Simplify 1 into 1 13.051 * [backup-simplify]: Simplify (/ 1 1) into 1 13.052 * [backup-simplify]: Simplify (+ 0 1) into 1 13.052 * [backup-simplify]: Simplify (* 0 1) into 0 13.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.053 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.053 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.054 * [backup-simplify]: Simplify (/ 1 1) into 1 13.054 * [taylor]: Taking taylor expansion of 1 in y 13.054 * [backup-simplify]: Simplify 1 into 1 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.055 * [backup-simplify]: Simplify (+ 0 0) into 0 13.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.056 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.056 * [taylor]: Taking taylor expansion of y in y 13.056 * [backup-simplify]: Simplify 0 into 0 13.056 * [backup-simplify]: Simplify 1 into 1 13.057 * [backup-simplify]: Simplify (/ 1 1) into 1 13.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.059 * [backup-simplify]: Simplify (- 0) into 0 13.059 * [backup-simplify]: Simplify 0 into 0 13.059 * [backup-simplify]: Simplify 0 into 0 13.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.060 * [backup-simplify]: Simplify (+ 0 0) into 0 13.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.062 * [taylor]: Taking taylor expansion of y in y 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.063 * [backup-simplify]: Simplify (* 1 1) into 1 13.063 * [backup-simplify]: Simplify (/ 1 1) into 1 13.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.068 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.069 * [backup-simplify]: Simplify (- 0) into 0 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.070 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 13.070 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 13.070 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 13.070 * [taylor]: Taking taylor expansion of x in y 13.070 * [backup-simplify]: Simplify x into x 13.070 * [taylor]: Taking taylor expansion of (+ x y) in y 13.070 * [taylor]: Taking taylor expansion of x in y 13.070 * [backup-simplify]: Simplify x into x 13.070 * [taylor]: Taking taylor expansion of y in y 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.070 * [backup-simplify]: Simplify (+ x 0) into x 13.070 * [backup-simplify]: Simplify (/ x x) into 1 13.070 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.070 * [taylor]: Taking taylor expansion of x in x 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.070 * [taylor]: Taking taylor expansion of (+ x y) in x 13.070 * [taylor]: Taking taylor expansion of x in x 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.070 * [taylor]: Taking taylor expansion of y in x 13.070 * [backup-simplify]: Simplify y into y 13.070 * [backup-simplify]: Simplify (+ 0 y) into y 13.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.070 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.070 * [taylor]: Taking taylor expansion of x in x 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.070 * [taylor]: Taking taylor expansion of (+ x y) in x 13.070 * [taylor]: Taking taylor expansion of x in x 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.070 * [taylor]: Taking taylor expansion of y in x 13.071 * [backup-simplify]: Simplify y into y 13.071 * [backup-simplify]: Simplify (+ 0 y) into y 13.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.071 * [taylor]: Taking taylor expansion of y in y 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 1 into 1 13.071 * [backup-simplify]: Simplify (/ 1 1) into 1 13.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.072 * [backup-simplify]: Simplify 0 into 0 13.072 * [backup-simplify]: Simplify (+ 1 0) into 1 13.073 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 13.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.073 * [taylor]: Taking taylor expansion of y in y 13.073 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify 1 into 1 13.073 * [backup-simplify]: Simplify (* 1 1) into 1 13.073 * [backup-simplify]: Simplify (/ 1 1) into 1 13.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.077 * [backup-simplify]: Simplify (- 0) into 0 13.077 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.078 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify (+ 0 0) into 0 13.079 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 13.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 13.079 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.079 * [taylor]: Taking taylor expansion of y in y 13.079 * [backup-simplify]: Simplify 0 into 0 13.079 * [backup-simplify]: Simplify 1 into 1 13.079 * [backup-simplify]: Simplify (* 1 1) into 1 13.079 * [backup-simplify]: Simplify (* 1 1) into 1 13.080 * [backup-simplify]: Simplify (/ 1 1) into 1 13.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.086 * [backup-simplify]: Simplify 0 into 0 13.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.088 * [backup-simplify]: Simplify (- 0) into 0 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.089 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.089 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.089 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.089 * [taylor]: Taking taylor expansion of x in y 13.089 * [backup-simplify]: Simplify x into x 13.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.089 * [taylor]: Taking taylor expansion of y in y 13.089 * [backup-simplify]: Simplify 0 into 0 13.089 * [backup-simplify]: Simplify 1 into 1 13.089 * [backup-simplify]: Simplify (/ 1 1) into 1 13.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.089 * [taylor]: Taking taylor expansion of x in y 13.089 * [backup-simplify]: Simplify x into x 13.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.090 * [backup-simplify]: Simplify (+ 1 0) into 1 13.090 * [backup-simplify]: Simplify (* x 1) into x 13.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.090 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.090 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.090 * [taylor]: Taking taylor expansion of x in x 13.090 * [backup-simplify]: Simplify 0 into 0 13.090 * [backup-simplify]: Simplify 1 into 1 13.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.090 * [taylor]: Taking taylor expansion of y in x 13.090 * [backup-simplify]: Simplify y into y 13.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.090 * [taylor]: Taking taylor expansion of x in x 13.090 * [backup-simplify]: Simplify 0 into 0 13.090 * [backup-simplify]: Simplify 1 into 1 13.090 * [backup-simplify]: Simplify (/ 1 1) into 1 13.091 * [backup-simplify]: Simplify (+ 0 1) into 1 13.091 * [backup-simplify]: Simplify (* 0 1) into 0 13.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.092 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.092 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.092 * [backup-simplify]: Simplify (/ 1 1) into 1 13.092 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.092 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.092 * [taylor]: Taking taylor expansion of x in x 13.092 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify 1 into 1 13.092 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.092 * [taylor]: Taking taylor expansion of y in x 13.092 * [backup-simplify]: Simplify y into y 13.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.093 * [taylor]: Taking taylor expansion of x in x 13.093 * [backup-simplify]: Simplify 0 into 0 13.093 * [backup-simplify]: Simplify 1 into 1 13.093 * [backup-simplify]: Simplify (/ 1 1) into 1 13.093 * [backup-simplify]: Simplify (+ 0 1) into 1 13.094 * [backup-simplify]: Simplify (* 0 1) into 0 13.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.094 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.094 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.095 * [backup-simplify]: Simplify (/ 1 1) into 1 13.095 * [taylor]: Taking taylor expansion of 1 in y 13.095 * [backup-simplify]: Simplify 1 into 1 13.095 * [backup-simplify]: Simplify 0 into 0 13.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.096 * [backup-simplify]: Simplify (+ 0 0) into 0 13.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.096 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.096 * [taylor]: Taking taylor expansion of y in y 13.096 * [backup-simplify]: Simplify 0 into 0 13.096 * [backup-simplify]: Simplify 1 into 1 13.097 * [backup-simplify]: Simplify (/ 1 1) into 1 13.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.098 * [backup-simplify]: Simplify (- 0) into 0 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.099 * [backup-simplify]: Simplify (+ 0 0) into 0 13.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.100 * [taylor]: Taking taylor expansion of y in y 13.100 * [backup-simplify]: Simplify 0 into 0 13.100 * [backup-simplify]: Simplify 1 into 1 13.100 * [backup-simplify]: Simplify (* 1 1) into 1 13.100 * [backup-simplify]: Simplify (/ 1 1) into 1 13.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.103 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.104 * [backup-simplify]: Simplify (- 0) into 0 13.104 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.104 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.104 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.104 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.104 * [taylor]: Taking taylor expansion of x in y 13.104 * [backup-simplify]: Simplify x into x 13.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.105 * [taylor]: Taking taylor expansion of y in y 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 1 into 1 13.105 * [backup-simplify]: Simplify (/ 1 1) into 1 13.105 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.105 * [taylor]: Taking taylor expansion of x in y 13.105 * [backup-simplify]: Simplify x into x 13.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.105 * [backup-simplify]: Simplify (+ 1 0) into 1 13.105 * [backup-simplify]: Simplify (* x 1) into x 13.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.105 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.105 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.105 * [taylor]: Taking taylor expansion of x in x 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 1 into 1 13.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.105 * [taylor]: Taking taylor expansion of y in x 13.105 * [backup-simplify]: Simplify y into y 13.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.105 * [taylor]: Taking taylor expansion of x in x 13.106 * [backup-simplify]: Simplify 0 into 0 13.106 * [backup-simplify]: Simplify 1 into 1 13.106 * [backup-simplify]: Simplify (/ 1 1) into 1 13.106 * [backup-simplify]: Simplify (+ 0 1) into 1 13.106 * [backup-simplify]: Simplify (* 0 1) into 0 13.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.107 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.107 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.107 * [backup-simplify]: Simplify (/ 1 1) into 1 13.107 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.107 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.107 * [taylor]: Taking taylor expansion of x in x 13.107 * [backup-simplify]: Simplify 0 into 0 13.107 * [backup-simplify]: Simplify 1 into 1 13.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.107 * [taylor]: Taking taylor expansion of y in x 13.107 * [backup-simplify]: Simplify y into y 13.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.108 * [taylor]: Taking taylor expansion of x in x 13.108 * [backup-simplify]: Simplify 0 into 0 13.108 * [backup-simplify]: Simplify 1 into 1 13.108 * [backup-simplify]: Simplify (/ 1 1) into 1 13.108 * [backup-simplify]: Simplify (+ 0 1) into 1 13.109 * [backup-simplify]: Simplify (* 0 1) into 0 13.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.109 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.110 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.110 * [backup-simplify]: Simplify (/ 1 1) into 1 13.110 * [taylor]: Taking taylor expansion of 1 in y 13.110 * [backup-simplify]: Simplify 1 into 1 13.110 * [backup-simplify]: Simplify 0 into 0 13.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.112 * [backup-simplify]: Simplify (+ 0 0) into 0 13.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.113 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.113 * [taylor]: Taking taylor expansion of y in y 13.113 * [backup-simplify]: Simplify 0 into 0 13.113 * [backup-simplify]: Simplify 1 into 1 13.113 * [backup-simplify]: Simplify (/ 1 1) into 1 13.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.115 * [backup-simplify]: Simplify (- 0) into 0 13.115 * [backup-simplify]: Simplify 0 into 0 13.115 * [backup-simplify]: Simplify 0 into 0 13.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.117 * [backup-simplify]: Simplify (+ 0 0) into 0 13.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.119 * [taylor]: Taking taylor expansion of y in y 13.119 * [backup-simplify]: Simplify 0 into 0 13.119 * [backup-simplify]: Simplify 1 into 1 13.119 * [backup-simplify]: Simplify (* 1 1) into 1 13.120 * [backup-simplify]: Simplify (/ 1 1) into 1 13.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.124 * [backup-simplify]: Simplify 0 into 0 13.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.126 * [backup-simplify]: Simplify (- 0) into 0 13.126 * [backup-simplify]: Simplify 0 into 0 13.126 * [backup-simplify]: Simplify 0 into 0 13.126 * [backup-simplify]: Simplify 0 into 0 13.126 * * * [progress]: simplifying candidates 13.131 * [simplify]: Simplifying: (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (sqrt (* (cbrt (/ x (+ y 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(+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 1 1 0 1 1 0 0 0 0 0 0 13.135 * * [simplify]: Extracting # 0 : cost 0 13.136 * * [simplify]: Extracting # 1 : cost 0 13.136 * * [simplify]: Extracting # 2 : cost 0 13.136 * * [simplify]: Extracting # 3 : cost 0 13.136 * * [simplify]: Extracting # 4 : cost 0 13.137 * * [simplify]: Extracting # 5 : cost 0 13.137 * * [simplify]: Extracting # 6 : cost 0 13.137 * * [simplify]: Extracting # 7 : cost 0 13.137 * * [simplify]: Extracting # 8 : cost 0 13.138 * * [simplify]: iteration 0 : 177 enodes (cost 3139 ) 13.195 * * [simplify]: Extracting # 0 : cost 0 13.195 * * [simplify]: Extracting # 1 : cost 0 13.196 * * [simplify]: Extracting # 2 : cost 0 13.196 * * [simplify]: Extracting # 3 : cost 0 13.196 * * [simplify]: iteration 1 : 289 enodes (cost 2203 ) 13.307 * * [simplify]: Extracting # 0 : cost 0 13.309 * * [simplify]: Extracting # 1 : cost 0 13.312 * * [simplify]: Extracting # 2 : cost 0 13.314 * * [simplify]: Extracting # 3 : cost 0 13.316 * * [simplify]: Extracting # 4 : cost 0 13.318 * * [simplify]: iteration 2 : 888 enodes (cost 2081 ) 13.946 * * [simplify]: Extracting # 0 : cost 0 13.951 * * [simplify]: Extracting # 1 : cost 0 13.956 * * [simplify]: Extracting # 2 : cost 0 13.961 * * [simplify]: Extracting # 3 : cost 0 13.965 * * [simplify]: Extracting # 4 : cost 0 13.970 * * [simplify]: Extracting # 5 : cost 0 13.974 * * [simplify]: iteration 3 : 2221 enodes (cost 2042 ) 15.497 * * [simplify]: Extracting # 0 : cost 0 15.505 * * [simplify]: Extracting # 1 : cost 0 15.510 * * [simplify]: Extracting # 2 : cost 0 15.516 * * [simplify]: Extracting # 3 : cost 0 15.521 * * [simplify]: Extracting # 4 : cost 0 15.530 * * [simplify]: Extracting # 5 : cost 0 15.540 * * [simplify]: iteration done: 5000 enodes (cost 2014 ) 15.542 * [simplify]: Simplified to: (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (pow (sqrt (/ x (+ y x))) 3) (fabs (cbrt (/ x (+ y x)))) (sqrt (cbrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (fabs (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt 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