21.904 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (/ x (+ x y)) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: Extracting # 3 : cost 0 0.025 * * [simplify]: Extracting # 4 : cost 0 0.025 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.028 * [simplify]: Simplified to: (/ x (+ x y)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.066 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.066 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of (+ x y) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (+ x 0) into x 0.067 * [backup-simplify]: Simplify (/ x x) into 1 0.067 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (+ x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (+ x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.089 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.089 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (* x 1) into x 0.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.090 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.092 * [backup-simplify]: Simplify (* 0 1) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.093 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.094 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [backup-simplify]: Simplify (+ 0 1) into 1 0.095 * [backup-simplify]: Simplify (* 0 1) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.097 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.099 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.121 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.121 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [backup-simplify]: Simplify x into x 0.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (* x 1) into x 0.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.122 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [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) 0.125 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.126 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.127 * [backup-simplify]: Simplify (* 0 1) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.128 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of 1 in y 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * * * [progress]: simplifying candidates 0.144 * [simplify]: Simplifying: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.145 * * [simplify]: Extracting # 0 : cost 0 0.146 * * [simplify]: Extracting # 1 : cost 0 0.146 * * [simplify]: Extracting # 2 : cost 0 0.146 * * [simplify]: Extracting # 3 : cost 0 0.146 * * [simplify]: Extracting # 4 : cost 0 0.146 * * [simplify]: Extracting # 5 : cost 0 0.146 * * [simplify]: Extracting # 6 : cost 0 0.147 * * [simplify]: Extracting # 7 : cost 0 0.147 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.174 * * [simplify]: Extracting # 1 : cost 0 0.174 * * [simplify]: Extracting # 2 : cost 0 0.174 * * [simplify]: Extracting # 3 : cost 0 0.175 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.228 * * [simplify]: Extracting # 0 : cost 0 0.228 * * [simplify]: Extracting # 1 : cost 0 0.229 * * [simplify]: Extracting # 2 : cost 0 0.229 * * [simplify]: Extracting # 3 : cost 0 0.229 * * [simplify]: Extracting # 4 : cost 0 0.230 * * [simplify]: iteration 2 : 286 enodes (cost 299 ) 0.357 * * [simplify]: Extracting # 0 : cost 0 0.358 * * [simplify]: Extracting # 1 : cost 0 0.358 * * [simplify]: Extracting # 2 : cost 0 0.359 * * [simplify]: Extracting # 3 : cost 0 0.359 * * [simplify]: iteration 3 : 587 enodes (cost 299 ) 0.659 * * [simplify]: Extracting # 0 : cost 0 0.660 * * [simplify]: Extracting # 1 : cost 0 0.662 * * [simplify]: Extracting # 2 : cost 0 0.663 * * [simplify]: Extracting # 3 : cost 0 0.664 * * [simplify]: Extracting # 4 : cost 0 0.666 * * [simplify]: iteration 4 : 1573 enodes (cost 299 ) 3.946 * * [simplify]: Extracting # 0 : cost 0 3.957 * * [simplify]: Extracting # 1 : cost 0 3.962 * * [simplify]: Extracting # 2 : cost 0 3.966 * * [simplify]: Extracting # 3 : cost 0 3.971 * * [simplify]: Extracting # 4 : cost 0 3.976 * * [simplify]: iteration done: 5000 enodes (cost 299 ) 3.976 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 3.976 * * * [progress]: adding candidates to table 4.078 * * [progress]: iteration 2 / 4 4.078 * * * [progress]: picking best candidate 4.086 * * * * [pick]: Picked # 4.086 * * * [progress]: localizing error 4.097 * * * [progress]: generating rewritten candidates 4.097 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.146 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.161 * * * [progress]: generating series expansions 4.161 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.161 * [backup-simplify]: Simplify (* x (/ 1 (+ x y))) into (/ x (+ x y)) 4.161 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 4.161 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.161 * [taylor]: Taking taylor expansion of x in y 4.161 * [backup-simplify]: Simplify x into x 4.162 * [taylor]: Taking taylor expansion of (+ x y) in y 4.162 * [taylor]: Taking taylor expansion of x in y 4.162 * [backup-simplify]: Simplify x into x 4.162 * [taylor]: Taking taylor expansion of y in y 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (+ x 0) into x 4.162 * [backup-simplify]: Simplify (/ x x) into 1 4.162 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.162 * [taylor]: Taking taylor expansion of x in x 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [taylor]: Taking taylor expansion of (+ x y) in x 4.162 * [taylor]: Taking taylor expansion of x in x 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [taylor]: Taking taylor expansion of y in x 4.162 * [backup-simplify]: Simplify y into y 4.162 * [backup-simplify]: Simplify (+ 0 y) into y 4.162 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.162 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.162 * [taylor]: Taking taylor expansion of x in x 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [taylor]: Taking taylor expansion of (+ x y) in x 4.162 * [taylor]: Taking taylor expansion of x in x 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [taylor]: Taking taylor expansion of y in x 4.162 * [backup-simplify]: Simplify y into y 4.162 * [backup-simplify]: Simplify (+ 0 y) into y 4.162 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.162 * [taylor]: Taking taylor expansion of y in y 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.163 * [backup-simplify]: Simplify (/ 1 1) into 1 4.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (+ 1 0) into 1 4.164 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.164 * [taylor]: Taking taylor expansion of y in y 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (* 1 1) into 1 4.165 * [backup-simplify]: Simplify (/ 1 1) into 1 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (- 0) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.170 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.170 * [taylor]: Taking taylor expansion of y in y 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (- 0) into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 x) (/ 1 y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.183 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.183 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.183 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.183 * [taylor]: Taking taylor expansion of x in y 4.183 * [backup-simplify]: Simplify x into x 4.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.183 * [taylor]: Taking taylor expansion of y in y 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.184 * [backup-simplify]: Simplify (/ 1 1) into 1 4.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.184 * [taylor]: Taking taylor expansion of x in y 4.184 * [backup-simplify]: Simplify x into x 4.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.185 * [backup-simplify]: Simplify (+ 1 0) into 1 4.185 * [backup-simplify]: Simplify (* x 1) into x 4.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.185 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.185 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.185 * [taylor]: Taking taylor expansion of x in x 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.185 * [taylor]: Taking taylor expansion of y in x 4.185 * [backup-simplify]: Simplify y into y 4.185 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.185 * [taylor]: Taking taylor expansion of x in x 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (/ 1 1) into 1 4.186 * [backup-simplify]: Simplify (+ 0 1) into 1 4.187 * [backup-simplify]: Simplify (* 0 1) into 0 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.188 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.188 * [backup-simplify]: Simplify (/ 1 1) into 1 4.188 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.188 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.188 * [taylor]: Taking taylor expansion of x in x 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.188 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.189 * [taylor]: Taking taylor expansion of y in x 4.189 * [backup-simplify]: Simplify y into y 4.189 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.189 * [taylor]: Taking taylor expansion of x in x 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (/ 1 1) into 1 4.190 * [backup-simplify]: Simplify (+ 0 1) into 1 4.190 * [backup-simplify]: Simplify (* 0 1) into 0 4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.191 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.192 * [taylor]: Taking taylor expansion of 1 in y 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (+ 0 0) into 0 4.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.195 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.195 * [taylor]: Taking taylor expansion of y in y 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (/ 1 1) into 1 4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (- 0) into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.201 * [taylor]: Taking taylor expansion of y in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [backup-simplify]: Simplify (* 1 1) into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (- 0) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.209 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.209 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.209 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.209 * [taylor]: Taking taylor expansion of x in y 4.209 * [backup-simplify]: Simplify x into x 4.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.209 * [taylor]: Taking taylor expansion of y in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ 1 1) into 1 4.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.209 * [taylor]: Taking taylor expansion of x in y 4.209 * [backup-simplify]: Simplify x into x 4.210 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.210 * [backup-simplify]: Simplify (+ 1 0) into 1 4.210 * [backup-simplify]: Simplify (* x 1) into x 4.210 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.210 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.210 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.210 * [taylor]: Taking taylor expansion of y in x 4.210 * [backup-simplify]: Simplify y into y 4.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [backup-simplify]: Simplify (+ 0 1) into 1 4.211 * [backup-simplify]: Simplify (* 0 1) into 0 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.212 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.212 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.212 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.212 * [taylor]: Taking taylor expansion of x in x 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.212 * [taylor]: Taking taylor expansion of y in x 4.212 * [backup-simplify]: Simplify y into y 4.212 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.212 * [taylor]: Taking taylor expansion of x in x 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify (+ 0 1) into 1 4.213 * [backup-simplify]: Simplify (* 0 1) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.214 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.214 * [backup-simplify]: Simplify (/ 1 1) into 1 4.214 * [taylor]: Taking taylor expansion of 1 in y 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.215 * [backup-simplify]: Simplify (+ 0 0) into 0 4.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.216 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.216 * [taylor]: Taking taylor expansion of y in y 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (- 0) into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ 0 0) into 0 4.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.220 * [taylor]: Taking taylor expansion of y in y 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (- 0) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.228 * [backup-simplify]: Simplify (/ 1 (+ x y)) into (/ 1 (+ x y)) 4.228 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 4.228 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.228 * [taylor]: Taking taylor expansion of (+ x y) in y 4.228 * [taylor]: Taking taylor expansion of x in y 4.228 * [backup-simplify]: Simplify x into x 4.228 * [taylor]: Taking taylor expansion of y in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (+ x 0) into x 4.228 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.228 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.228 * [taylor]: Taking taylor expansion of (+ x y) in x 4.228 * [taylor]: Taking taylor expansion of x in x 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [taylor]: Taking taylor expansion of y in x 4.228 * [backup-simplify]: Simplify y into y 4.228 * [backup-simplify]: Simplify (+ 0 y) into y 4.229 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.229 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.229 * [taylor]: Taking taylor expansion of (+ x y) in x 4.229 * [taylor]: Taking taylor expansion of x in x 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [taylor]: Taking taylor expansion of y in x 4.229 * [backup-simplify]: Simplify y into y 4.229 * [backup-simplify]: Simplify (+ 0 y) into y 4.229 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.229 * [taylor]: Taking taylor expansion of y in y 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (+ 1 0) into 1 4.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.230 * [taylor]: Taking taylor expansion of y in y 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (- 0) into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.234 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.234 * [taylor]: Taking taylor expansion of y in y 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify (* 1 1) into 1 4.235 * [backup-simplify]: Simplify (* 1 1) into 1 4.235 * [backup-simplify]: Simplify (/ 1 1) into 1 4.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (- 0) into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 x) (/ 1 y))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 4.244 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 4.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.245 * [taylor]: Taking taylor expansion of y in y 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (/ 1 1) into 1 4.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.245 * [taylor]: Taking taylor expansion of x in y 4.245 * [backup-simplify]: Simplify x into x 4.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.246 * [backup-simplify]: Simplify (+ 1 0) into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.246 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 4.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.246 * [taylor]: Taking taylor expansion of y in x 4.246 * [backup-simplify]: Simplify y into y 4.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.246 * [taylor]: Taking taylor expansion of x in x 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [backup-simplify]: Simplify (+ 0 1) into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 4.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.248 * [taylor]: Taking taylor expansion of y in x 4.248 * [backup-simplify]: Simplify y into y 4.248 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.248 * [taylor]: Taking taylor expansion of x in x 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.249 * [backup-simplify]: Simplify (+ 0 1) into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.249 * [taylor]: Taking taylor expansion of 1 in y 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.250 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.250 * [taylor]: Taking taylor expansion of y in y 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (- 0) into 0 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.255 * [taylor]: Taking taylor expansion of y in y 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (* 1 1) into 1 4.256 * [backup-simplify]: Simplify (/ 1 1) into 1 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- 0) into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 4.262 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 4.262 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.262 * [taylor]: Taking taylor expansion of -1 in y 4.262 * [backup-simplify]: Simplify -1 into -1 4.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.263 * [taylor]: Taking taylor expansion of y in y 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (/ 1 1) into 1 4.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.263 * [taylor]: Taking taylor expansion of x in y 4.263 * [backup-simplify]: Simplify x into x 4.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.264 * [backup-simplify]: Simplify (+ 1 0) into 1 4.264 * [backup-simplify]: Simplify (/ -1 1) into -1 4.264 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 4.264 * [taylor]: Taking taylor expansion of -1 in x 4.264 * [backup-simplify]: Simplify -1 into -1 4.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.264 * [taylor]: Taking taylor expansion of y in x 4.264 * [backup-simplify]: Simplify y into y 4.264 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.264 * [taylor]: Taking taylor expansion of x in x 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (/ 1 1) into 1 4.265 * [backup-simplify]: Simplify (+ 0 1) into 1 4.265 * [backup-simplify]: Simplify (/ -1 1) into -1 4.266 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 4.266 * [taylor]: Taking taylor expansion of -1 in x 4.266 * [backup-simplify]: Simplify -1 into -1 4.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.266 * [taylor]: Taking taylor expansion of y in x 4.266 * [backup-simplify]: Simplify y into y 4.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (/ 1 1) into 1 4.267 * [backup-simplify]: Simplify (+ 0 1) into 1 4.267 * [backup-simplify]: Simplify (/ -1 1) into -1 4.267 * [taylor]: Taking taylor expansion of -1 in y 4.267 * [backup-simplify]: Simplify -1 into -1 4.267 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.268 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 y) 1)))) into (/ 1 y) 4.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.269 * [taylor]: Taking taylor expansion of y in y 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (/ 1 1) into 1 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 2))) 4.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.274 * [taylor]: Taking taylor expansion of y in y 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (* 1 1) into 1 4.275 * [backup-simplify]: Simplify (/ 1 1) into 1 4.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.281 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * * * [progress]: simplifying candidates 4.284 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 4.287 * * [simplify]: Extracting # 0 : cost 0 4.287 * * [simplify]: Extracting # 1 : cost 0 4.287 * * [simplify]: Extracting # 2 : cost 0 4.287 * * [simplify]: Extracting # 3 : cost 0 4.288 * * [simplify]: Extracting # 4 : cost 0 4.288 * * [simplify]: Extracting # 5 : cost 0 4.288 * * [simplify]: Extracting # 6 : cost 0 4.288 * * [simplify]: iteration 0 : 99 enodes (cost 783 ) 4.337 * * [simplify]: Extracting # 0 : cost 0 4.337 * * [simplify]: Extracting # 1 : cost 0 4.337 * * [simplify]: Extracting # 2 : cost 0 4.338 * * [simplify]: Extracting # 3 : cost 0 4.341 * * [simplify]: iteration 1 : 225 enodes (cost 603 ) 4.408 * * [simplify]: Extracting # 0 : cost 0 4.409 * * [simplify]: Extracting # 1 : cost 0 4.410 * * [simplify]: Extracting # 2 : cost 0 4.411 * * [simplify]: Extracting # 3 : cost 0 4.411 * * [simplify]: Extracting # 4 : cost 0 4.412 * * [simplify]: Extracting # 5 : cost 0 4.413 * * [simplify]: Extracting # 6 : cost 0 4.413 * * [simplify]: iteration 2 : 464 enodes (cost 541 ) 4.687 * * [simplify]: Extracting # 0 : cost 0 4.689 * * [simplify]: Extracting # 1 : cost 0 4.691 * * [simplify]: Extracting # 2 : cost 0 4.692 * * [simplify]: Extracting # 3 : cost 0 4.693 * * [simplify]: Extracting # 4 : cost 0 4.700 * * [simplify]: iteration 3 : 952 enodes (cost 541 ) 5.543 * * [simplify]: Extracting # 0 : cost 0 5.545 * * [simplify]: Extracting # 1 : cost 0 5.548 * * [simplify]: Extracting # 2 : cost 0 5.550 * * [simplify]: Extracting # 3 : cost 0 5.552 * * [simplify]: Extracting # 4 : cost 0 5.553 * * [simplify]: Extracting # 5 : cost 0 5.555 * * [simplify]: iteration 4 : 2095 enodes (cost 541 ) 7.791 * * [simplify]: Extracting # 0 : cost 0 7.797 * * [simplify]: Extracting # 1 : cost 0 7.803 * * [simplify]: Extracting # 2 : cost 0 7.809 * * [simplify]: Extracting # 3 : cost 0 7.822 * * [simplify]: Extracting # 4 : cost 0 7.831 * * [simplify]: iteration done: 5000 enodes (cost 541 ) 7.832 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (/ 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))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) -1 (- (log (+ x y))) (- (log (+ x y))) (- (log (+ x y))) (- (log (+ x y))) (exp (/ 1 (+ x y))) (pow (/ 1 (+ y x)) 3) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (pow (/ 1 (+ y x)) 3) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) -1 (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 7.833 * * * [progress]: adding candidates to table 8.017 * * [progress]: iteration 3 / 4 8.018 * * * [progress]: picking best candidate 8.023 * * * * [pick]: Picked # 8.023 * * * [progress]: localizing error 8.036 * * * [progress]: generating rewritten candidates 8.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 8.104 * * * [progress]: generating series expansions 8.105 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.105 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 8.105 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 8.105 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 8.105 * [taylor]: Taking taylor expansion of x in y 8.105 * [backup-simplify]: Simplify x into x 8.105 * [taylor]: Taking taylor expansion of (+ x y) in y 8.105 * [taylor]: Taking taylor expansion of x in y 8.105 * [backup-simplify]: Simplify x into x 8.105 * [taylor]: Taking taylor expansion of y in y 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (+ x 0) into x 8.105 * [backup-simplify]: Simplify (/ x x) into 1 8.105 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 8.105 * [taylor]: Taking taylor expansion of x in x 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [taylor]: Taking taylor expansion of (+ x y) in x 8.105 * [taylor]: Taking taylor expansion of x in x 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [taylor]: Taking taylor expansion of y in x 8.105 * [backup-simplify]: Simplify y into y 8.105 * [backup-simplify]: Simplify (+ 0 y) into y 8.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.105 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 8.105 * [taylor]: Taking taylor expansion of x in x 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [taylor]: Taking taylor expansion of (+ x y) in x 8.105 * [taylor]: Taking taylor expansion of x in x 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [taylor]: Taking taylor expansion of y in x 8.105 * [backup-simplify]: Simplify y into y 8.105 * [backup-simplify]: Simplify (+ 0 y) into y 8.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.106 * [taylor]: Taking taylor expansion of y in y 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify 1 into 1 8.106 * [backup-simplify]: Simplify (/ 1 1) into 1 8.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify (+ 1 0) into 1 8.107 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 8.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.108 * [taylor]: Taking taylor expansion of y in y 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.108 * [backup-simplify]: Simplify (* 1 1) into 1 8.108 * [backup-simplify]: Simplify (/ 1 1) into 1 8.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (- 0) into 0 8.110 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (+ 0 0) into 0 8.112 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 8.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 8.112 * [taylor]: Taking taylor expansion of (pow y 3) in y 8.112 * [taylor]: Taking taylor expansion of y in y 8.112 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify 1 into 1 8.112 * [backup-simplify]: Simplify (* 1 1) into 1 8.112 * [backup-simplify]: Simplify (* 1 1) into 1 8.113 * [backup-simplify]: Simplify (/ 1 1) into 1 8.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.122 * [backup-simplify]: Simplify (- 0) into 0 8.122 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 8.123 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 8.123 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.123 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.124 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.124 * [taylor]: Taking taylor expansion of y in y 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify 1 into 1 8.124 * [backup-simplify]: Simplify (/ 1 1) into 1 8.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.124 * [taylor]: Taking taylor expansion of x in y 8.124 * [backup-simplify]: Simplify x into x 8.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.124 * [taylor]: Taking taylor expansion of x in y 8.124 * [backup-simplify]: Simplify x into x 8.125 * [backup-simplify]: Simplify (+ 1 0) into 1 8.125 * [backup-simplify]: Simplify (* 1 x) into x 8.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.125 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.125 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.125 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.125 * [taylor]: Taking taylor expansion of y in x 8.125 * [backup-simplify]: Simplify y into y 8.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.125 * [taylor]: Taking taylor expansion of x in x 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (/ 1 1) into 1 8.126 * [taylor]: Taking taylor expansion of x in x 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (+ 0 1) into 1 8.126 * [backup-simplify]: Simplify (* 1 0) into 0 8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.127 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.127 * [backup-simplify]: Simplify (/ 1 1) into 1 8.127 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.127 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.127 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.127 * [taylor]: Taking taylor expansion of y in x 8.127 * [backup-simplify]: Simplify y into y 8.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.127 * [taylor]: Taking taylor expansion of x in x 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (/ 1 1) into 1 8.128 * [taylor]: Taking taylor expansion of x in x 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (+ 0 1) into 1 8.128 * [backup-simplify]: Simplify (* 1 0) into 0 8.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.129 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.129 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.129 * [backup-simplify]: Simplify (/ 1 1) into 1 8.129 * [taylor]: Taking taylor expansion of 1 in y 8.129 * [backup-simplify]: Simplify 1 into 1 8.129 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 8.131 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 8.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.131 * [taylor]: Taking taylor expansion of y in y 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.131 * [backup-simplify]: Simplify (/ 1 1) into 1 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (- 0) into 0 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.135 * [taylor]: Taking taylor expansion of y in y 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify 1 into 1 8.135 * [backup-simplify]: Simplify (* 1 1) into 1 8.135 * [backup-simplify]: Simplify (/ 1 1) into 1 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.139 * [backup-simplify]: Simplify (- 0) into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 8.139 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 8.139 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.139 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.139 * [taylor]: Taking taylor expansion of y in y 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify (/ 1 1) into 1 8.140 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.140 * [taylor]: Taking taylor expansion of x in y 8.140 * [backup-simplify]: Simplify x into x 8.140 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.140 * [taylor]: Taking taylor expansion of x in y 8.140 * [backup-simplify]: Simplify x into x 8.140 * [backup-simplify]: Simplify (+ 1 0) into 1 8.140 * [backup-simplify]: Simplify (* 1 x) into x 8.140 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.140 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.140 * [taylor]: Taking taylor expansion of y in x 8.140 * [backup-simplify]: Simplify y into y 8.140 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.140 * [taylor]: Taking taylor expansion of x in x 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (/ 1 1) into 1 8.141 * [taylor]: Taking taylor expansion of x in x 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (+ 0 1) into 1 8.141 * [backup-simplify]: Simplify (* 1 0) into 0 8.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.142 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.142 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.142 * [backup-simplify]: Simplify (/ 1 1) into 1 8.142 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.142 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.142 * [taylor]: Taking taylor expansion of y in x 8.142 * [backup-simplify]: Simplify y into y 8.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.142 * [taylor]: Taking taylor expansion of x in x 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.143 * [backup-simplify]: Simplify (/ 1 1) into 1 8.143 * [taylor]: Taking taylor expansion of x in x 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 1 into 1 8.143 * [backup-simplify]: Simplify (+ 0 1) into 1 8.143 * [backup-simplify]: Simplify (* 1 0) into 0 8.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.144 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.144 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.144 * [backup-simplify]: Simplify (/ 1 1) into 1 8.144 * [taylor]: Taking taylor expansion of 1 in y 8.144 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.145 * [backup-simplify]: Simplify (+ 0 0) into 0 8.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 8.146 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 8.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.146 * [taylor]: Taking taylor expansion of y in y 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 1 into 1 8.146 * [backup-simplify]: Simplify (/ 1 1) into 1 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (- 0) into 0 8.147 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.148 * [backup-simplify]: Simplify (+ 0 0) into 0 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 8.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.150 * [taylor]: Taking taylor expansion of y in y 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (* 1 1) into 1 8.150 * [backup-simplify]: Simplify (/ 1 1) into 1 8.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.154 * [backup-simplify]: Simplify (- 0) into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 8.154 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 8.154 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 8.154 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 8.154 * [taylor]: Taking taylor expansion of (+ x y) in y 8.154 * [taylor]: Taking taylor expansion of x in y 8.154 * [backup-simplify]: Simplify x into x 8.154 * [taylor]: Taking taylor expansion of y in y 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [taylor]: Taking taylor expansion of x in y 8.154 * [backup-simplify]: Simplify x into x 8.154 * [backup-simplify]: Simplify (+ x 0) into x 8.154 * [backup-simplify]: Simplify (/ x x) into 1 8.154 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.155 * [taylor]: Taking taylor expansion of (+ x y) in x 8.155 * [taylor]: Taking taylor expansion of x in x 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [taylor]: Taking taylor expansion of y in x 8.155 * [backup-simplify]: Simplify y into y 8.155 * [taylor]: Taking taylor expansion of x in x 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [backup-simplify]: Simplify (+ 0 y) into y 8.155 * [backup-simplify]: Simplify (/ y 1) into y 8.155 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.155 * [taylor]: Taking taylor expansion of (+ x y) in x 8.155 * [taylor]: Taking taylor expansion of x in x 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [taylor]: Taking taylor expansion of y in x 8.155 * [backup-simplify]: Simplify y into y 8.155 * [taylor]: Taking taylor expansion of x in x 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [backup-simplify]: Simplify (+ 0 y) into y 8.155 * [backup-simplify]: Simplify (/ y 1) into y 8.155 * [taylor]: Taking taylor expansion of y in y 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify (+ 1 0) into 1 8.156 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 8.156 * [taylor]: Taking taylor expansion of 1 in y 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify (+ 0 0) into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.157 * [taylor]: Taking taylor expansion of 0 in y 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify (+ 0 0) into 0 8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.159 * [taylor]: Taking taylor expansion of 0 in y 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 8.159 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 8.159 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 8.159 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.159 * [taylor]: Taking taylor expansion of y in y 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify (/ 1 1) into 1 8.160 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.160 * [taylor]: Taking taylor expansion of x in y 8.160 * [backup-simplify]: Simplify x into x 8.160 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.160 * [taylor]: Taking taylor expansion of x in y 8.160 * [backup-simplify]: Simplify x into x 8.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.160 * [taylor]: Taking taylor expansion of y in x 8.160 * [backup-simplify]: Simplify y into y 8.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.160 * [taylor]: Taking taylor expansion of x in x 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify (/ 1 1) into 1 8.160 * [taylor]: Taking taylor expansion of x in x 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.161 * [taylor]: Taking taylor expansion of y in x 8.161 * [backup-simplify]: Simplify y into y 8.161 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.161 * [taylor]: Taking taylor expansion of x in x 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (/ 1 1) into 1 8.161 * [taylor]: Taking taylor expansion of x in x 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (+ 0 1) into 1 8.162 * [backup-simplify]: Simplify (* 1 0) into 0 8.162 * [taylor]: Taking taylor expansion of 0 in y 8.162 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.163 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.163 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.163 * [taylor]: Taking taylor expansion of 1 in y 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ 0 0) into 0 8.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.166 * [taylor]: Taking taylor expansion of y in y 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (/ 1 1) into 1 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.168 * [backup-simplify]: Simplify (+ 0 0) into 0 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.170 * [taylor]: Taking taylor expansion of 0 in y 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.172 * [backup-simplify]: Simplify (+ 0 0) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.173 * [taylor]: Taking taylor expansion of 0 in y 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 8.175 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 8.175 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 8.175 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.175 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.175 * [taylor]: Taking taylor expansion of y in y 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 1 into 1 8.176 * [backup-simplify]: Simplify (/ 1 1) into 1 8.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.176 * [taylor]: Taking taylor expansion of x in y 8.176 * [backup-simplify]: Simplify x into x 8.176 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.176 * [taylor]: Taking taylor expansion of x in y 8.176 * [backup-simplify]: Simplify x into x 8.176 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.176 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.176 * [taylor]: Taking taylor expansion of y in x 8.176 * [backup-simplify]: Simplify y into y 8.176 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.176 * [taylor]: Taking taylor expansion of x in x 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (/ 1 1) into 1 8.177 * [taylor]: Taking taylor expansion of x in x 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.177 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.177 * [taylor]: Taking taylor expansion of y in x 8.177 * [backup-simplify]: Simplify y into y 8.177 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.177 * [taylor]: Taking taylor expansion of x in x 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (/ 1 1) into 1 8.177 * [taylor]: Taking taylor expansion of x in x 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (+ 0 1) into 1 8.178 * [backup-simplify]: Simplify (* 1 0) into 0 8.178 * [taylor]: Taking taylor expansion of 0 in y 8.178 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.179 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.180 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.180 * [taylor]: Taking taylor expansion of 1 in y 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify (+ 0 0) into 0 8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.182 * [taylor]: Taking taylor expansion of y in y 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify (/ 1 1) into 1 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.184 * [backup-simplify]: Simplify (+ 0 0) into 0 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.186 * [taylor]: Taking taylor expansion of 0 in y 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (+ 0 0) into 0 8.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.190 * [taylor]: Taking taylor expansion of 0 in y 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 8.191 * * * [progress]: simplifying candidates 8.199 * [simplify]: Simplifying: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 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 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) 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 y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 8.204 * * [simplify]: Extracting # 0 : cost 0 8.204 * * [simplify]: Extracting # 1 : cost 0 8.205 * * [simplify]: Extracting # 2 : cost 0 8.205 * * [simplify]: Extracting # 3 : cost 0 8.206 * * [simplify]: Extracting # 4 : cost 0 8.206 * * [simplify]: Extracting # 5 : cost 0 8.207 * * [simplify]: Extracting # 6 : cost 0 8.207 * * [simplify]: Extracting # 7 : cost 0 8.207 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 8.275 * * [simplify]: Extracting # 0 : cost 0 8.277 * * [simplify]: Extracting # 1 : cost 0 8.277 * * [simplify]: Extracting # 2 : cost 0 8.278 * * [simplify]: Extracting # 3 : cost 0 8.278 * * [simplify]: Extracting # 4 : cost 0 8.279 * * [simplify]: iteration 1 : 339 enodes (cost 1374 ) 8.380 * * [simplify]: Extracting # 0 : cost 0 8.381 * * [simplify]: Extracting # 1 : cost 0 8.382 * * [simplify]: Extracting # 2 : cost 0 8.382 * * [simplify]: Extracting # 3 : cost 0 8.383 * * [simplify]: Extracting # 4 : cost 0 8.383 * * [simplify]: iteration 2 : 664 enodes (cost 1203 ) 8.729 * * [simplify]: Extracting # 0 : cost 0 8.731 * * [simplify]: Extracting # 1 : cost 0 8.733 * * [simplify]: Extracting # 2 : cost 0 8.735 * * [simplify]: Extracting # 3 : cost 0 8.738 * * [simplify]: Extracting # 4 : cost 0 8.740 * * [simplify]: Extracting # 5 : cost 0 8.742 * * [simplify]: iteration 3 : 1377 enodes (cost 1179 ) 9.839 * * [simplify]: Extracting # 0 : cost 0 9.842 * * [simplify]: Extracting # 1 : cost 0 9.844 * * [simplify]: Extracting # 2 : cost 0 9.846 * * [simplify]: Extracting # 3 : cost 0 9.848 * * [simplify]: Extracting # 4 : cost 0 9.855 * * [simplify]: iteration 4 : 2622 enodes (cost 1179 ) 12.091 * * [simplify]: Extracting # 0 : cost 0 12.103 * * [simplify]: Extracting # 1 : cost 0 12.108 * * [simplify]: Extracting # 2 : cost 0 12.112 * * [simplify]: Extracting # 3 : cost 0 12.116 * * [simplify]: Extracting # 4 : cost 0 12.120 * * [simplify]: iteration done: 5000 enodes (cost 1178 ) 12.124 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (- -1 (/ y x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (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 y)) (cbrt x)) (/ (cbrt (+ x y)) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (* (/ (cbrt (+ x y)) (sqrt x)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 12.124 * * * [progress]: adding candidates to table 12.374 * * [progress]: iteration 4 / 4 12.374 * * * [progress]: picking best candidate 12.377 * * * * [pick]: Picked # 12.377 * * * [progress]: localizing error 12.396 * * * [progress]: generating rewritten candidates 12.396 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.409 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.421 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.504 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.549 * * * [progress]: generating series expansions 12.549 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.549 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.549 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.550 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.550 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.550 * [taylor]: Taking taylor expansion of x in y 12.550 * [backup-simplify]: Simplify x into x 12.550 * [taylor]: Taking taylor expansion of (+ x y) in y 12.550 * [taylor]: Taking taylor expansion of x in y 12.550 * [backup-simplify]: Simplify x into x 12.550 * [taylor]: Taking taylor expansion of y in y 12.550 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify 1 into 1 12.550 * [backup-simplify]: Simplify (+ x 0) into x 12.550 * [backup-simplify]: Simplify (/ x x) into 1 12.551 * [backup-simplify]: Simplify (sqrt 1) into 1 12.551 * [backup-simplify]: Simplify (+ 0 1) into 1 12.551 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.552 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.552 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.552 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.552 * [taylor]: Taking taylor expansion of x in x 12.552 * [backup-simplify]: Simplify 0 into 0 12.552 * [backup-simplify]: Simplify 1 into 1 12.552 * [taylor]: Taking taylor expansion of (+ x y) in x 12.552 * [taylor]: Taking taylor expansion of x in x 12.552 * [backup-simplify]: Simplify 0 into 0 12.552 * [backup-simplify]: Simplify 1 into 1 12.552 * [taylor]: Taking taylor expansion of y in x 12.552 * [backup-simplify]: Simplify y into y 12.552 * [backup-simplify]: Simplify (+ 0 y) into y 12.552 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.553 * [backup-simplify]: Simplify (sqrt 0) into 0 12.554 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.554 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.554 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.554 * [taylor]: Taking taylor expansion of x in x 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.554 * [taylor]: Taking taylor expansion of (+ x y) in x 12.554 * [taylor]: Taking taylor expansion of x in x 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.554 * [taylor]: Taking taylor expansion of y in x 12.554 * [backup-simplify]: Simplify y into y 12.554 * [backup-simplify]: Simplify (+ 0 y) into y 12.554 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.554 * [backup-simplify]: Simplify (sqrt 0) into 0 12.555 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.555 * [taylor]: Taking taylor expansion of 0 in y 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.555 * [taylor]: Taking taylor expansion of +nan.0 in y 12.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.555 * [taylor]: Taking taylor expansion of y in y 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 1 into 1 12.556 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify (+ 1 0) into 1 12.558 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.559 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.559 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.559 * [taylor]: Taking taylor expansion of +nan.0 in y 12.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.559 * [taylor]: Taking taylor expansion of y in y 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 1 into 1 12.559 * [backup-simplify]: Simplify (* 1 1) into 1 12.560 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.563 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.565 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.565 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.565 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.565 * [taylor]: Taking taylor expansion of x in y 12.565 * [backup-simplify]: Simplify x into x 12.565 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.565 * [taylor]: Taking taylor expansion of y in y 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 1 into 1 12.566 * [backup-simplify]: Simplify (/ 1 1) into 1 12.566 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.566 * [taylor]: Taking taylor expansion of x in y 12.566 * [backup-simplify]: Simplify x into x 12.566 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.567 * [backup-simplify]: Simplify (+ 1 0) into 1 12.567 * [backup-simplify]: Simplify (* x 1) into x 12.567 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.567 * [backup-simplify]: Simplify (sqrt 0) into 0 12.568 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.568 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.568 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.568 * [taylor]: Taking taylor expansion of x in x 12.568 * [backup-simplify]: Simplify 0 into 0 12.568 * [backup-simplify]: Simplify 1 into 1 12.568 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.568 * [taylor]: Taking taylor expansion of y in x 12.568 * [backup-simplify]: Simplify y into y 12.568 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.568 * [taylor]: Taking taylor expansion of x in x 12.568 * [backup-simplify]: Simplify 0 into 0 12.568 * [backup-simplify]: Simplify 1 into 1 12.569 * [backup-simplify]: Simplify (/ 1 1) into 1 12.569 * [backup-simplify]: Simplify (+ 0 1) into 1 12.570 * [backup-simplify]: Simplify (* 0 1) into 0 12.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.571 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.571 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.571 * [backup-simplify]: Simplify (/ 1 1) into 1 12.572 * [backup-simplify]: Simplify (sqrt 1) into 1 12.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.573 * [backup-simplify]: Simplify (+ 0 0) into 0 12.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.575 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.575 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.575 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.575 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.575 * [taylor]: Taking taylor expansion of x in x 12.575 * [backup-simplify]: Simplify 0 into 0 12.575 * [backup-simplify]: Simplify 1 into 1 12.575 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.576 * [taylor]: Taking taylor expansion of y in x 12.576 * [backup-simplify]: Simplify y into y 12.576 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.576 * [taylor]: Taking taylor expansion of x in x 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.576 * [backup-simplify]: Simplify (/ 1 1) into 1 12.577 * [backup-simplify]: Simplify (+ 0 1) into 1 12.577 * [backup-simplify]: Simplify (* 0 1) into 0 12.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.578 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.578 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.579 * [backup-simplify]: Simplify (/ 1 1) into 1 12.579 * [backup-simplify]: Simplify (sqrt 1) into 1 12.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.580 * [backup-simplify]: Simplify (+ 0 0) into 0 12.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.582 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.582 * [taylor]: Taking taylor expansion of 1 in y 12.582 * [backup-simplify]: Simplify 1 into 1 12.582 * [backup-simplify]: Simplify 1 into 1 12.582 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.582 * [taylor]: Taking taylor expansion of -1/2 in y 12.582 * [backup-simplify]: Simplify -1/2 into -1/2 12.582 * [taylor]: Taking taylor expansion of y in y 12.582 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 1 into 1 12.583 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.586 * [backup-simplify]: Simplify (+ 0 0) into 0 12.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.589 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.589 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.589 * [taylor]: Taking taylor expansion of 3/8 in y 12.589 * [backup-simplify]: Simplify 3/8 into 3/8 12.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.589 * [taylor]: Taking taylor expansion of y in y 12.589 * [backup-simplify]: Simplify 0 into 0 12.589 * [backup-simplify]: Simplify 1 into 1 12.590 * [backup-simplify]: Simplify (* 1 1) into 1 12.590 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.602 * [backup-simplify]: Simplify (+ 0 0) into 0 12.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.606 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.606 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.607 * [taylor]: Taking taylor expansion of -5/16 in y 12.607 * [backup-simplify]: Simplify -5/16 into -5/16 12.607 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.607 * [taylor]: Taking taylor expansion of y in y 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify 1 into 1 12.607 * [backup-simplify]: Simplify (* 1 1) into 1 12.607 * [backup-simplify]: Simplify (* 1 1) into 1 12.608 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.617 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.617 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.617 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.617 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.617 * [taylor]: Taking taylor expansion of x in y 12.617 * [backup-simplify]: Simplify x into x 12.617 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.618 * [taylor]: Taking taylor expansion of y in y 12.618 * [backup-simplify]: Simplify 0 into 0 12.618 * [backup-simplify]: Simplify 1 into 1 12.618 * [backup-simplify]: Simplify (/ 1 1) into 1 12.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.618 * [taylor]: Taking taylor expansion of x in y 12.618 * [backup-simplify]: Simplify x into x 12.618 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.619 * [backup-simplify]: Simplify (+ 1 0) into 1 12.619 * [backup-simplify]: Simplify (* x 1) into x 12.619 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.619 * [backup-simplify]: Simplify (sqrt 0) into 0 12.620 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.620 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.620 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.620 * [taylor]: Taking taylor expansion of x in x 12.620 * [backup-simplify]: Simplify 0 into 0 12.620 * [backup-simplify]: Simplify 1 into 1 12.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.620 * [taylor]: Taking taylor expansion of y in x 12.620 * [backup-simplify]: Simplify y into y 12.620 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.620 * [taylor]: Taking taylor expansion of x in x 12.620 * [backup-simplify]: Simplify 0 into 0 12.620 * [backup-simplify]: Simplify 1 into 1 12.621 * [backup-simplify]: Simplify (/ 1 1) into 1 12.621 * [backup-simplify]: Simplify (+ 0 1) into 1 12.622 * [backup-simplify]: Simplify (* 0 1) into 0 12.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.622 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.623 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.623 * [backup-simplify]: Simplify (/ 1 1) into 1 12.624 * [backup-simplify]: Simplify (sqrt 1) into 1 12.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.625 * [backup-simplify]: Simplify (+ 0 0) into 0 12.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.627 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.627 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.627 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.627 * [taylor]: Taking taylor expansion of x in x 12.627 * [backup-simplify]: Simplify 0 into 0 12.627 * [backup-simplify]: Simplify 1 into 1 12.627 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.627 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.627 * [taylor]: Taking taylor expansion of y in x 12.627 * [backup-simplify]: Simplify y into y 12.627 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.627 * [taylor]: Taking taylor expansion of x in x 12.627 * [backup-simplify]: Simplify 0 into 0 12.627 * [backup-simplify]: Simplify 1 into 1 12.628 * [backup-simplify]: Simplify (/ 1 1) into 1 12.628 * [backup-simplify]: Simplify (+ 0 1) into 1 12.629 * [backup-simplify]: Simplify (* 0 1) into 0 12.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.630 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.630 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.630 * [backup-simplify]: Simplify (/ 1 1) into 1 12.631 * [backup-simplify]: Simplify (sqrt 1) into 1 12.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.632 * [backup-simplify]: Simplify (+ 0 0) into 0 12.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.634 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.634 * [taylor]: Taking taylor expansion of 1 in y 12.634 * [backup-simplify]: Simplify 1 into 1 12.634 * [backup-simplify]: Simplify 1 into 1 12.634 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.634 * [taylor]: Taking taylor expansion of -1/2 in y 12.634 * [backup-simplify]: Simplify -1/2 into -1/2 12.634 * [taylor]: Taking taylor expansion of y in y 12.635 * [backup-simplify]: Simplify 0 into 0 12.635 * [backup-simplify]: Simplify 1 into 1 12.635 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.636 * [backup-simplify]: Simplify 0 into 0 12.636 * [backup-simplify]: Simplify 0 into 0 12.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.638 * [backup-simplify]: Simplify (+ 0 0) into 0 12.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.641 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.641 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.641 * [taylor]: Taking taylor expansion of 3/8 in y 12.641 * [backup-simplify]: Simplify 3/8 into 3/8 12.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.641 * [taylor]: Taking taylor expansion of y in y 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [backup-simplify]: Simplify (* 1 1) into 1 12.642 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.645 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.648 * [backup-simplify]: Simplify (+ 0 0) into 0 12.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.652 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.652 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.652 * [taylor]: Taking taylor expansion of -5/16 in y 12.652 * [backup-simplify]: Simplify -5/16 into -5/16 12.653 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.653 * [taylor]: Taking taylor expansion of y in y 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 1 into 1 12.653 * [backup-simplify]: Simplify (* 1 1) into 1 12.654 * [backup-simplify]: Simplify (* 1 1) into 1 12.654 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify 1 into 1 12.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.662 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.662 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.662 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.662 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.663 * [taylor]: Taking taylor expansion of x in y 12.663 * [backup-simplify]: Simplify x into x 12.663 * [taylor]: Taking taylor expansion of (+ x y) in y 12.663 * [taylor]: Taking taylor expansion of x in y 12.663 * [backup-simplify]: Simplify x into x 12.663 * [taylor]: Taking taylor expansion of y in y 12.663 * [backup-simplify]: Simplify 0 into 0 12.663 * [backup-simplify]: Simplify 1 into 1 12.663 * [backup-simplify]: Simplify (+ x 0) into x 12.663 * [backup-simplify]: Simplify (/ x x) into 1 12.663 * [backup-simplify]: Simplify (sqrt 1) into 1 12.664 * [backup-simplify]: Simplify (+ 0 1) into 1 12.664 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.664 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.664 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.664 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.664 * [taylor]: Taking taylor expansion of x in x 12.664 * [backup-simplify]: Simplify 0 into 0 12.664 * [backup-simplify]: Simplify 1 into 1 12.664 * [taylor]: Taking taylor expansion of (+ x y) in x 12.664 * [taylor]: Taking taylor expansion of x in x 12.664 * [backup-simplify]: Simplify 0 into 0 12.664 * [backup-simplify]: Simplify 1 into 1 12.664 * [taylor]: Taking taylor expansion of y in x 12.664 * [backup-simplify]: Simplify y into y 12.664 * [backup-simplify]: Simplify (+ 0 y) into y 12.664 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.665 * [backup-simplify]: Simplify (sqrt 0) into 0 12.665 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.665 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.665 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.665 * [taylor]: Taking taylor expansion of x in x 12.665 * [backup-simplify]: Simplify 0 into 0 12.665 * [backup-simplify]: Simplify 1 into 1 12.665 * [taylor]: Taking taylor expansion of (+ x y) in x 12.665 * [taylor]: Taking taylor expansion of x in x 12.665 * [backup-simplify]: Simplify 0 into 0 12.665 * [backup-simplify]: Simplify 1 into 1 12.665 * [taylor]: Taking taylor expansion of y in x 12.665 * [backup-simplify]: Simplify y into y 12.665 * [backup-simplify]: Simplify (+ 0 y) into y 12.665 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.666 * [backup-simplify]: Simplify (sqrt 0) into 0 12.666 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.666 * [taylor]: Taking taylor expansion of 0 in y 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.666 * [taylor]: Taking taylor expansion of +nan.0 in y 12.666 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.666 * [taylor]: Taking taylor expansion of y in y 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify 1 into 1 12.667 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.667 * [backup-simplify]: Simplify 0 into 0 12.667 * [backup-simplify]: Simplify 0 into 0 12.667 * [backup-simplify]: Simplify (+ 1 0) into 1 12.668 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.668 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.668 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.668 * [taylor]: Taking taylor expansion of +nan.0 in y 12.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.668 * [taylor]: Taking taylor expansion of y in y 12.668 * [backup-simplify]: Simplify 0 into 0 12.668 * [backup-simplify]: Simplify 1 into 1 12.669 * [backup-simplify]: Simplify (* 1 1) into 1 12.669 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.671 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.672 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.672 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.672 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.672 * [taylor]: Taking taylor expansion of x in y 12.672 * [backup-simplify]: Simplify x into x 12.672 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.672 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.672 * [taylor]: Taking taylor expansion of y in y 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 1 into 1 12.672 * [backup-simplify]: Simplify (/ 1 1) into 1 12.672 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.672 * [taylor]: Taking taylor expansion of x in y 12.672 * [backup-simplify]: Simplify x into x 12.672 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.673 * [backup-simplify]: Simplify (+ 1 0) into 1 12.673 * [backup-simplify]: Simplify (* x 1) into x 12.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.673 * [backup-simplify]: Simplify (sqrt 0) into 0 12.673 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.673 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.674 * [taylor]: Taking taylor expansion of x in x 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.674 * [taylor]: Taking taylor expansion of y in x 12.674 * [backup-simplify]: Simplify y into y 12.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.674 * [taylor]: Taking taylor expansion of x in x 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.674 * [backup-simplify]: Simplify (/ 1 1) into 1 12.674 * [backup-simplify]: Simplify (+ 0 1) into 1 12.674 * [backup-simplify]: Simplify (* 0 1) into 0 12.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.675 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.675 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.675 * [backup-simplify]: Simplify (/ 1 1) into 1 12.676 * [backup-simplify]: Simplify (sqrt 1) into 1 12.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (+ 0 0) into 0 12.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.678 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.678 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.678 * [taylor]: Taking taylor expansion of x in x 12.678 * [backup-simplify]: Simplify 0 into 0 12.678 * [backup-simplify]: Simplify 1 into 1 12.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.678 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.678 * [taylor]: Taking taylor expansion of y in x 12.678 * [backup-simplify]: Simplify y into y 12.678 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.678 * [taylor]: Taking taylor expansion of x in x 12.678 * [backup-simplify]: Simplify 0 into 0 12.678 * [backup-simplify]: Simplify 1 into 1 12.678 * [backup-simplify]: Simplify (/ 1 1) into 1 12.678 * [backup-simplify]: Simplify (+ 0 1) into 1 12.679 * [backup-simplify]: Simplify (* 0 1) into 0 12.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.679 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.680 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.680 * [backup-simplify]: Simplify (/ 1 1) into 1 12.680 * [backup-simplify]: Simplify (sqrt 1) into 1 12.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.681 * [backup-simplify]: Simplify (+ 0 0) into 0 12.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.682 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.682 * [taylor]: Taking taylor expansion of 1 in y 12.682 * [backup-simplify]: Simplify 1 into 1 12.682 * [backup-simplify]: Simplify 1 into 1 12.682 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.682 * [taylor]: Taking taylor expansion of -1/2 in y 12.682 * [backup-simplify]: Simplify -1/2 into -1/2 12.682 * [taylor]: Taking taylor expansion of y in y 12.682 * [backup-simplify]: Simplify 0 into 0 12.682 * [backup-simplify]: Simplify 1 into 1 12.682 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.684 * [backup-simplify]: Simplify (+ 0 0) into 0 12.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.686 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.686 * [taylor]: Taking taylor expansion of 3/8 in y 12.686 * [backup-simplify]: Simplify 3/8 into 3/8 12.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.686 * [taylor]: Taking taylor expansion of y in y 12.686 * [backup-simplify]: Simplify 0 into 0 12.686 * [backup-simplify]: Simplify 1 into 1 12.686 * [backup-simplify]: Simplify (* 1 1) into 1 12.686 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.688 * [backup-simplify]: Simplify 0 into 0 12.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.689 * [backup-simplify]: Simplify 0 into 0 12.689 * [backup-simplify]: Simplify 0 into 0 12.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.690 * [backup-simplify]: Simplify (+ 0 0) into 0 12.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.693 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.693 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.693 * [taylor]: Taking taylor expansion of -5/16 in y 12.693 * [backup-simplify]: Simplify -5/16 into -5/16 12.693 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.693 * [taylor]: Taking taylor expansion of y in y 12.693 * [backup-simplify]: Simplify 0 into 0 12.693 * [backup-simplify]: Simplify 1 into 1 12.693 * [backup-simplify]: Simplify (* 1 1) into 1 12.694 * [backup-simplify]: Simplify (* 1 1) into 1 12.694 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.699 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify 1 into 1 12.700 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.700 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.700 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.700 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.700 * [taylor]: Taking taylor expansion of x in y 12.700 * [backup-simplify]: Simplify x into x 12.700 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.700 * [taylor]: Taking taylor expansion of y in y 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 1 into 1 12.700 * [backup-simplify]: Simplify (/ 1 1) into 1 12.700 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.700 * [taylor]: Taking taylor expansion of x in y 12.700 * [backup-simplify]: Simplify x into x 12.701 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.701 * [backup-simplify]: Simplify (+ 1 0) into 1 12.701 * [backup-simplify]: Simplify (* x 1) into x 12.701 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.701 * [backup-simplify]: Simplify (sqrt 0) into 0 12.702 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.702 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.702 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.702 * [taylor]: Taking taylor expansion of x in x 12.702 * [backup-simplify]: Simplify 0 into 0 12.702 * [backup-simplify]: Simplify 1 into 1 12.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.703 * [taylor]: Taking taylor expansion of y in x 12.703 * [backup-simplify]: Simplify y into y 12.703 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.703 * [taylor]: Taking taylor expansion of x in x 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify 1 into 1 12.703 * [backup-simplify]: Simplify (/ 1 1) into 1 12.704 * [backup-simplify]: Simplify (+ 0 1) into 1 12.704 * [backup-simplify]: Simplify (* 0 1) into 0 12.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.705 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.705 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.706 * [backup-simplify]: Simplify (/ 1 1) into 1 12.706 * [backup-simplify]: Simplify (sqrt 1) into 1 12.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.707 * [backup-simplify]: Simplify (+ 0 0) into 0 12.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.709 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.709 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.709 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.709 * [taylor]: Taking taylor expansion of x in x 12.709 * [backup-simplify]: Simplify 0 into 0 12.709 * [backup-simplify]: Simplify 1 into 1 12.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.709 * [taylor]: Taking taylor expansion of y in x 12.709 * [backup-simplify]: Simplify y into y 12.709 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.709 * [taylor]: Taking taylor expansion of x in x 12.709 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify 1 into 1 12.710 * [backup-simplify]: Simplify (/ 1 1) into 1 12.710 * [backup-simplify]: Simplify (+ 0 1) into 1 12.711 * [backup-simplify]: Simplify (* 0 1) into 0 12.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.712 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.712 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.712 * [backup-simplify]: Simplify (/ 1 1) into 1 12.713 * [backup-simplify]: Simplify (sqrt 1) into 1 12.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.714 * [backup-simplify]: Simplify (+ 0 0) into 0 12.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.715 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.715 * [taylor]: Taking taylor expansion of 1 in y 12.715 * [backup-simplify]: Simplify 1 into 1 12.715 * [backup-simplify]: Simplify 1 into 1 12.715 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.715 * [taylor]: Taking taylor expansion of -1/2 in y 12.715 * [backup-simplify]: Simplify -1/2 into -1/2 12.715 * [taylor]: Taking taylor expansion of y in y 12.715 * [backup-simplify]: Simplify 0 into 0 12.715 * [backup-simplify]: Simplify 1 into 1 12.716 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.717 * [backup-simplify]: Simplify (+ 0 0) into 0 12.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.719 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.719 * [taylor]: Taking taylor expansion of 3/8 in y 12.719 * [backup-simplify]: Simplify 3/8 into 3/8 12.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.719 * [taylor]: Taking taylor expansion of y in y 12.719 * [backup-simplify]: Simplify 0 into 0 12.719 * [backup-simplify]: Simplify 1 into 1 12.719 * [backup-simplify]: Simplify (* 1 1) into 1 12.720 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.724 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.725 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.726 * [backup-simplify]: Simplify (+ 0 0) into 0 12.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.728 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.728 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.729 * [taylor]: Taking taylor expansion of -5/16 in y 12.729 * [backup-simplify]: Simplify -5/16 into -5/16 12.729 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.729 * [taylor]: Taking taylor expansion of y in y 12.729 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify 1 into 1 12.729 * [backup-simplify]: Simplify (* 1 1) into 1 12.729 * [backup-simplify]: Simplify (* 1 1) into 1 12.729 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.734 * [backup-simplify]: Simplify 0 into 0 12.734 * [backup-simplify]: Simplify 1 into 1 12.734 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.734 * [backup-simplify]: Simplify (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) into (/ x (+ x y)) 12.734 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.734 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.734 * [taylor]: Taking taylor expansion of x in y 12.734 * [backup-simplify]: Simplify x into x 12.734 * [taylor]: Taking taylor expansion of (+ x y) in y 12.734 * [taylor]: Taking taylor expansion of x in y 12.734 * [backup-simplify]: Simplify x into x 12.734 * [taylor]: Taking taylor expansion of y in y 12.734 * [backup-simplify]: Simplify 0 into 0 12.734 * [backup-simplify]: Simplify 1 into 1 12.735 * [backup-simplify]: Simplify (+ x 0) into x 12.735 * [backup-simplify]: Simplify (/ x x) into 1 12.735 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.735 * [taylor]: Taking taylor expansion of x in x 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [taylor]: Taking taylor expansion of (+ x y) in x 12.735 * [taylor]: Taking taylor expansion of x in x 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [taylor]: Taking taylor expansion of y in x 12.735 * [backup-simplify]: Simplify y into y 12.735 * [backup-simplify]: Simplify (+ 0 y) into y 12.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.735 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.735 * [taylor]: Taking taylor expansion of x in x 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [taylor]: Taking taylor expansion of (+ x y) in x 12.735 * [taylor]: Taking taylor expansion of x in x 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [taylor]: Taking taylor expansion of y in x 12.735 * [backup-simplify]: Simplify y into y 12.735 * [backup-simplify]: Simplify (+ 0 y) into y 12.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.735 * [taylor]: Taking taylor expansion of y in y 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [backup-simplify]: Simplify (/ 1 1) into 1 12.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.736 * [backup-simplify]: Simplify 0 into 0 12.736 * [backup-simplify]: Simplify (+ 1 0) into 1 12.736 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.736 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.736 * [taylor]: Taking taylor expansion of y in y 12.736 * [backup-simplify]: Simplify 0 into 0 12.736 * [backup-simplify]: Simplify 1 into 1 12.737 * [backup-simplify]: Simplify (* 1 1) into 1 12.737 * [backup-simplify]: Simplify (/ 1 1) into 1 12.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.739 * [backup-simplify]: Simplify (- 0) into 0 12.739 * [backup-simplify]: Simplify 0 into 0 12.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.739 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify (+ 0 0) into 0 12.740 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.740 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.740 * [taylor]: Taking taylor expansion of y in y 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 1 into 1 12.740 * [backup-simplify]: Simplify (* 1 1) into 1 12.741 * [backup-simplify]: Simplify (* 1 1) into 1 12.741 * [backup-simplify]: Simplify (/ 1 1) into 1 12.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.748 * [backup-simplify]: Simplify 0 into 0 12.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.751 * [backup-simplify]: Simplify (- 0) into 0 12.751 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.753 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.753 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.753 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.753 * [taylor]: Taking taylor expansion of x in y 12.753 * [backup-simplify]: Simplify x into x 12.753 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.753 * [taylor]: Taking taylor expansion of y in y 12.753 * [backup-simplify]: Simplify 0 into 0 12.753 * [backup-simplify]: Simplify 1 into 1 12.753 * [backup-simplify]: Simplify (/ 1 1) into 1 12.753 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.753 * [taylor]: Taking taylor expansion of x in y 12.753 * [backup-simplify]: Simplify x into x 12.753 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.754 * [backup-simplify]: Simplify (+ 1 0) into 1 12.754 * [backup-simplify]: Simplify (* x 1) into x 12.754 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.754 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.754 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.754 * [taylor]: Taking taylor expansion of x in x 12.754 * [backup-simplify]: Simplify 0 into 0 12.754 * [backup-simplify]: Simplify 1 into 1 12.754 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.754 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.754 * [taylor]: Taking taylor expansion of y in x 12.754 * [backup-simplify]: Simplify y into y 12.754 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.754 * [taylor]: Taking taylor expansion of x in x 12.754 * [backup-simplify]: Simplify 0 into 0 12.754 * [backup-simplify]: Simplify 1 into 1 12.754 * [backup-simplify]: Simplify (/ 1 1) into 1 12.754 * [backup-simplify]: Simplify (+ 0 1) into 1 12.755 * [backup-simplify]: Simplify (* 0 1) into 0 12.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.755 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.755 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.756 * [backup-simplify]: Simplify (/ 1 1) into 1 12.756 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.756 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.756 * [taylor]: Taking taylor expansion of x in x 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify 1 into 1 12.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.756 * [taylor]: Taking taylor expansion of y in x 12.756 * [backup-simplify]: Simplify y into y 12.756 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.756 * [taylor]: Taking taylor expansion of x in x 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify 1 into 1 12.756 * [backup-simplify]: Simplify (/ 1 1) into 1 12.757 * [backup-simplify]: Simplify (+ 0 1) into 1 12.757 * [backup-simplify]: Simplify (* 0 1) into 0 12.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.757 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.758 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.758 * [backup-simplify]: Simplify (/ 1 1) into 1 12.758 * [taylor]: Taking taylor expansion of 1 in y 12.758 * [backup-simplify]: Simplify 1 into 1 12.758 * [backup-simplify]: Simplify 0 into 0 12.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.759 * [backup-simplify]: Simplify (+ 0 0) into 0 12.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.759 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.759 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.759 * [taylor]: Taking taylor expansion of y in y 12.759 * [backup-simplify]: Simplify 0 into 0 12.760 * [backup-simplify]: Simplify 1 into 1 12.760 * [backup-simplify]: Simplify (/ 1 1) into 1 12.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.761 * [backup-simplify]: Simplify (- 0) into 0 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.762 * [backup-simplify]: Simplify (+ 0 0) into 0 12.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.763 * [taylor]: Taking taylor expansion of y in y 12.763 * [backup-simplify]: Simplify 0 into 0 12.763 * [backup-simplify]: Simplify 1 into 1 12.763 * [backup-simplify]: Simplify (* 1 1) into 1 12.764 * [backup-simplify]: Simplify (/ 1 1) into 1 12.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.767 * [backup-simplify]: Simplify 0 into 0 12.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.768 * [backup-simplify]: Simplify (- 0) into 0 12.768 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.768 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.768 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.768 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.768 * [taylor]: Taking taylor expansion of x in y 12.768 * [backup-simplify]: Simplify x into x 12.768 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.768 * [taylor]: Taking taylor expansion of y in y 12.768 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify 1 into 1 12.768 * [backup-simplify]: Simplify (/ 1 1) into 1 12.768 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.768 * [taylor]: Taking taylor expansion of x in y 12.768 * [backup-simplify]: Simplify x into x 12.769 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.769 * [backup-simplify]: Simplify (+ 1 0) into 1 12.769 * [backup-simplify]: Simplify (* x 1) into x 12.769 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.769 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.769 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.769 * [taylor]: Taking taylor expansion of x in x 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.769 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.769 * [taylor]: Taking taylor expansion of y in x 12.769 * [backup-simplify]: Simplify y into y 12.769 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.769 * [taylor]: Taking taylor expansion of x in x 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [backup-simplify]: Simplify (/ 1 1) into 1 12.770 * [backup-simplify]: Simplify (+ 0 1) into 1 12.770 * [backup-simplify]: Simplify (* 0 1) into 0 12.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.770 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.771 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.771 * [backup-simplify]: Simplify (/ 1 1) into 1 12.771 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.771 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.771 * [taylor]: Taking taylor expansion of x in x 12.771 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify 1 into 1 12.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.771 * [taylor]: Taking taylor expansion of y in x 12.771 * [backup-simplify]: Simplify y into y 12.771 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.771 * [taylor]: Taking taylor expansion of x in x 12.771 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify 1 into 1 12.772 * [backup-simplify]: Simplify (/ 1 1) into 1 12.772 * [backup-simplify]: Simplify (+ 0 1) into 1 12.772 * [backup-simplify]: Simplify (* 0 1) into 0 12.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.773 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.773 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.773 * [backup-simplify]: Simplify (/ 1 1) into 1 12.773 * [taylor]: Taking taylor expansion of 1 in y 12.773 * [backup-simplify]: Simplify 1 into 1 12.773 * [backup-simplify]: Simplify 0 into 0 12.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.774 * [backup-simplify]: Simplify (+ 0 0) into 0 12.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.775 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.775 * [taylor]: Taking taylor expansion of y in y 12.775 * [backup-simplify]: Simplify 0 into 0 12.775 * [backup-simplify]: Simplify 1 into 1 12.775 * [backup-simplify]: Simplify (/ 1 1) into 1 12.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.776 * [backup-simplify]: Simplify (- 0) into 0 12.776 * [backup-simplify]: Simplify 0 into 0 12.776 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.777 * [backup-simplify]: Simplify (+ 0 0) into 0 12.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.779 * [taylor]: Taking taylor expansion of y in y 12.779 * [backup-simplify]: Simplify 0 into 0 12.779 * [backup-simplify]: Simplify 1 into 1 12.779 * [backup-simplify]: Simplify (* 1 1) into 1 12.779 * [backup-simplify]: Simplify (/ 1 1) into 1 12.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.782 * [backup-simplify]: Simplify 0 into 0 12.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.783 * [backup-simplify]: Simplify (- 0) into 0 12.783 * [backup-simplify]: Simplify 0 into 0 12.783 * [backup-simplify]: Simplify 0 into 0 12.783 * [backup-simplify]: Simplify 0 into 0 12.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.783 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 12.783 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.783 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.783 * [taylor]: Taking taylor expansion of x in y 12.783 * [backup-simplify]: Simplify x into x 12.783 * [taylor]: Taking taylor expansion of (+ x y) in y 12.783 * [taylor]: Taking taylor expansion of x in y 12.783 * [backup-simplify]: Simplify x into x 12.784 * [taylor]: Taking taylor expansion of y in y 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [backup-simplify]: Simplify (+ x 0) into x 12.784 * [backup-simplify]: Simplify (/ x x) into 1 12.784 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.784 * [taylor]: Taking taylor expansion of x in x 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [taylor]: Taking taylor expansion of (+ x y) in x 12.784 * [taylor]: Taking taylor expansion of x in x 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [taylor]: Taking taylor expansion of y in x 12.784 * [backup-simplify]: Simplify y into y 12.784 * [backup-simplify]: Simplify (+ 0 y) into y 12.784 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.784 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.784 * [taylor]: Taking taylor expansion of x in x 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [taylor]: Taking taylor expansion of (+ x y) in x 12.784 * [taylor]: Taking taylor expansion of x in x 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [taylor]: Taking taylor expansion of y in x 12.784 * [backup-simplify]: Simplify y into y 12.784 * [backup-simplify]: Simplify (+ 0 y) into y 12.784 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.784 * [taylor]: Taking taylor expansion of y in y 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [backup-simplify]: Simplify (/ 1 1) into 1 12.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.785 * [backup-simplify]: Simplify 0 into 0 12.785 * [backup-simplify]: Simplify (+ 1 0) into 1 12.785 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.785 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.786 * [taylor]: Taking taylor expansion of y in y 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify 1 into 1 12.786 * [backup-simplify]: Simplify (* 1 1) into 1 12.786 * [backup-simplify]: Simplify (/ 1 1) into 1 12.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.790 * [backup-simplify]: Simplify (- 0) into 0 12.790 * [backup-simplify]: Simplify 0 into 0 12.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.791 * [backup-simplify]: Simplify 0 into 0 12.791 * [backup-simplify]: Simplify (+ 0 0) into 0 12.792 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.792 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.792 * [taylor]: Taking taylor expansion of y in y 12.792 * [backup-simplify]: Simplify 0 into 0 12.792 * [backup-simplify]: Simplify 1 into 1 12.792 * [backup-simplify]: Simplify (* 1 1) into 1 12.793 * [backup-simplify]: Simplify (* 1 1) into 1 12.793 * [backup-simplify]: Simplify (/ 1 1) into 1 12.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.801 * [backup-simplify]: Simplify 0 into 0 12.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.803 * [backup-simplify]: Simplify (- 0) into 0 12.803 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.804 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.804 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.804 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.805 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.805 * [taylor]: Taking taylor expansion of x in y 12.805 * [backup-simplify]: Simplify x into x 12.805 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.805 * [taylor]: Taking taylor expansion of y in y 12.805 * [backup-simplify]: Simplify 0 into 0 12.805 * [backup-simplify]: Simplify 1 into 1 12.805 * [backup-simplify]: Simplify (/ 1 1) into 1 12.805 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.805 * [taylor]: Taking taylor expansion of x in y 12.805 * [backup-simplify]: Simplify x into x 12.805 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.806 * [backup-simplify]: Simplify (+ 1 0) into 1 12.806 * [backup-simplify]: Simplify (* x 1) into x 12.806 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.806 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.806 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.806 * [taylor]: Taking taylor expansion of x in x 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.806 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.806 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.806 * [taylor]: Taking taylor expansion of y in x 12.806 * [backup-simplify]: Simplify y into y 12.806 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.806 * [taylor]: Taking taylor expansion of x in x 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.807 * [backup-simplify]: Simplify (/ 1 1) into 1 12.807 * [backup-simplify]: Simplify (+ 0 1) into 1 12.808 * [backup-simplify]: Simplify (* 0 1) into 0 12.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.808 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.809 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.809 * [backup-simplify]: Simplify (/ 1 1) into 1 12.809 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.809 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.809 * [taylor]: Taking taylor expansion of x in x 12.809 * [backup-simplify]: Simplify 0 into 0 12.809 * [backup-simplify]: Simplify 1 into 1 12.809 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.809 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.810 * [taylor]: Taking taylor expansion of y in x 12.810 * [backup-simplify]: Simplify y into y 12.810 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.810 * [taylor]: Taking taylor expansion of x in x 12.810 * [backup-simplify]: Simplify 0 into 0 12.810 * [backup-simplify]: Simplify 1 into 1 12.810 * [backup-simplify]: Simplify (/ 1 1) into 1 12.811 * [backup-simplify]: Simplify (+ 0 1) into 1 12.811 * [backup-simplify]: Simplify (* 0 1) into 0 12.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.812 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.812 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.813 * [backup-simplify]: Simplify (/ 1 1) into 1 12.813 * [taylor]: Taking taylor expansion of 1 in y 12.813 * [backup-simplify]: Simplify 1 into 1 12.813 * [backup-simplify]: Simplify 0 into 0 12.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.814 * [backup-simplify]: Simplify (+ 0 0) into 0 12.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.816 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.816 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.816 * [taylor]: Taking taylor expansion of y in y 12.816 * [backup-simplify]: Simplify 0 into 0 12.816 * [backup-simplify]: Simplify 1 into 1 12.816 * [backup-simplify]: Simplify (/ 1 1) into 1 12.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.818 * [backup-simplify]: Simplify (- 0) into 0 12.818 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.819 * [backup-simplify]: Simplify (+ 0 0) into 0 12.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.820 * [taylor]: Taking taylor expansion of y in y 12.820 * [backup-simplify]: Simplify 0 into 0 12.820 * [backup-simplify]: Simplify 1 into 1 12.820 * [backup-simplify]: Simplify (* 1 1) into 1 12.821 * [backup-simplify]: Simplify (/ 1 1) into 1 12.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.824 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.824 * [backup-simplify]: Simplify (- 0) into 0 12.824 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify 0 into 0 12.825 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.825 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.825 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.825 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.825 * [taylor]: Taking taylor expansion of x in y 12.825 * [backup-simplify]: Simplify x into x 12.825 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.825 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.825 * [taylor]: Taking taylor expansion of y in y 12.825 * [backup-simplify]: Simplify 0 into 0 12.825 * [backup-simplify]: Simplify 1 into 1 12.825 * [backup-simplify]: Simplify (/ 1 1) into 1 12.825 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.825 * [taylor]: Taking taylor expansion of x in y 12.825 * [backup-simplify]: Simplify x into x 12.825 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.826 * [backup-simplify]: Simplify (+ 1 0) into 1 12.826 * [backup-simplify]: Simplify (* x 1) into x 12.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.826 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.826 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.826 * [taylor]: Taking taylor expansion of x in x 12.826 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify 1 into 1 12.826 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.826 * [taylor]: Taking taylor expansion of y in x 12.826 * [backup-simplify]: Simplify y into y 12.826 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.826 * [taylor]: Taking taylor expansion of x in x 12.826 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify 1 into 1 12.826 * [backup-simplify]: Simplify (/ 1 1) into 1 12.826 * [backup-simplify]: Simplify (+ 0 1) into 1 12.827 * [backup-simplify]: Simplify (* 0 1) into 0 12.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.827 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.827 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.828 * [backup-simplify]: Simplify (/ 1 1) into 1 12.828 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.828 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.828 * [taylor]: Taking taylor expansion of x in x 12.828 * [backup-simplify]: Simplify 0 into 0 12.828 * [backup-simplify]: Simplify 1 into 1 12.828 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.828 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.828 * [taylor]: Taking taylor expansion of y in x 12.828 * [backup-simplify]: Simplify y into y 12.828 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.828 * [taylor]: Taking taylor expansion of x in x 12.828 * [backup-simplify]: Simplify 0 into 0 12.828 * [backup-simplify]: Simplify 1 into 1 12.828 * [backup-simplify]: Simplify (/ 1 1) into 1 12.828 * [backup-simplify]: Simplify (+ 0 1) into 1 12.829 * [backup-simplify]: Simplify (* 0 1) into 0 12.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.829 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.830 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.830 * [backup-simplify]: Simplify (/ 1 1) into 1 12.830 * [taylor]: Taking taylor expansion of 1 in y 12.830 * [backup-simplify]: Simplify 1 into 1 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.831 * [backup-simplify]: Simplify (+ 0 0) into 0 12.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.834 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.834 * [taylor]: Taking taylor expansion of y in y 12.834 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify 1 into 1 12.835 * [backup-simplify]: Simplify (/ 1 1) into 1 12.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.836 * [backup-simplify]: Simplify (- 0) into 0 12.836 * [backup-simplify]: Simplify 0 into 0 12.836 * [backup-simplify]: Simplify 0 into 0 12.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.837 * [backup-simplify]: Simplify (+ 0 0) into 0 12.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.839 * [taylor]: Taking taylor expansion of y in y 12.839 * [backup-simplify]: Simplify 0 into 0 12.839 * [backup-simplify]: Simplify 1 into 1 12.839 * [backup-simplify]: Simplify (* 1 1) into 1 12.839 * [backup-simplify]: Simplify (/ 1 1) into 1 12.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.843 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.843 * [backup-simplify]: Simplify (- 0) into 0 12.843 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * * * [progress]: simplifying candidates 12.847 * [simplify]: Simplifying: (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x 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(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 12.851 * * [simplify]: Extracting # 0 : cost 0 12.851 * * [simplify]: Extracting # 1 : cost 0 12.851 * * [simplify]: Extracting # 2 : cost 0 12.851 * * [simplify]: Extracting # 3 : cost 0 12.852 * * [simplify]: Extracting # 4 : cost 0 12.852 * * [simplify]: Extracting # 5 : cost 0 12.852 * * [simplify]: Extracting # 6 : cost 0 12.852 * * [simplify]: Extracting # 7 : cost 0 12.853 * * [simplify]: iteration 0 : 183 enodes (cost 3207 ) 12.920 * * [simplify]: Extracting # 0 : cost 0 12.920 * * [simplify]: Extracting # 1 : cost 0 12.921 * * [simplify]: Extracting # 2 : cost 0 12.921 * * [simplify]: Extracting # 3 : cost 0 12.921 * * [simplify]: Extracting # 4 : cost 0 12.922 * * [simplify]: iteration 1 : 298 enodes (cost 2251 ) 13.022 * * [simplify]: Extracting # 0 : cost 0 13.023 * * [simplify]: Extracting # 1 : cost 0 13.026 * * [simplify]: Extracting # 2 : cost 0 13.033 * * [simplify]: Extracting # 3 : cost 0 13.035 * * [simplify]: Extracting # 4 : cost 0 13.037 * * [simplify]: iteration 2 : 911 enodes (cost 2129 ) 13.741 * * [simplify]: Extracting # 0 : cost 0 13.746 * * [simplify]: Extracting # 1 : cost 0 13.750 * * [simplify]: Extracting # 2 : cost 0 13.754 * * [simplify]: Extracting # 3 : cost 0 13.756 * * [simplify]: Extracting # 4 : cost 0 13.758 * * [simplify]: Extracting # 5 : cost 0 13.761 * * [simplify]: iteration 3 : 2301 enodes (cost 2090 ) 14.969 * * [simplify]: Extracting # 0 : cost 0 14.988 * * [simplify]: Extracting # 1 : cost 0 14.996 * * [simplify]: Extracting # 2 : cost 0 15.002 * * [simplify]: Extracting # 3 : cost 0 15.007 * * [simplify]: Extracting # 4 : cost 0 15.013 * * [simplify]: iteration done: 5000 enodes (cost 2062 ) 15.014 * [simplify]: Simplified to: (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt 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(/ (* (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 1 1 0 1 1 0 0 0 0 0 0 15.016 * * * [progress]: adding candidates to table 15.681 * [progress]: [Phase 3 of 3] Extracting. 15.681 * * [regime]: Finding splitpoints for: (# # # #) 15.681 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 15.681 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # # #) 15.712 * * * * [regimes]: Trying to branch on y from (# # # #) 15.738 * * * * [regimes]: Trying to branch on x from (# # # #) 15.764 * * * [regime]: Found split indices: #