20.465 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (/ x (+ y x)) 0.029 * * [simplify]: iteration 0: 4 enodes 0.031 * * [simplify]: iteration 1: 5 enodes 0.032 * * [simplify]: iteration complete: 5 enodes 0.032 * * [simplify]: Extracting #0: cost 1 inf + 0 0.032 * * [simplify]: Extracting #1: cost 3 inf + 0 0.032 * * [simplify]: Extracting #2: cost 3 inf + 1 0.032 * * [simplify]: Extracting #3: cost 0 inf + 126 0.032 * [simplify]: Simplified to: (/ x (+ y x)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.077 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.077 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [taylor]: Taking taylor expansion of (+ x y) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (+ x 0) into x 0.077 * [backup-simplify]: Simplify (/ x x) into 1 0.077 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (+ x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (+ 0 y) into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (+ x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (+ 0 y) into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 3) 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 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.105 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.105 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (+ 0 1) into 1 0.107 * [backup-simplify]: Simplify (* x 1) into x 0.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.107 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (* 0 1) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.110 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.111 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (* 0 1) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.115 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.136 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.136 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [backup-simplify]: Simplify x into x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [backup-simplify]: Simplify x into x 0.136 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (* x 1) into x 0.137 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.138 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.138 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (* 0 1) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.141 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.142 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (* 0 1) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.145 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * * * [progress]: simplifying candidates 0.165 * [simplify]: Simplifying: (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.166 * * [simplify]: iteration 0: 59 enodes 0.188 * * [simplify]: iteration 1: 128 enodes 0.239 * * [simplify]: iteration 2: 417 enodes 0.631 * * [simplify]: iteration 3: 2104 enodes 1.787 * * [simplify]: iteration complete: 5000 enodes 1.787 * * [simplify]: Extracting #0: cost 34 inf + 0 1.789 * * [simplify]: Extracting #1: cost 424 inf + 3 1.799 * * [simplify]: Extracting #2: cost 688 inf + 16189 1.827 * * [simplify]: Extracting #3: cost 942 inf + 71207 1.866 * * [simplify]: Extracting #4: cost 261 inf + 182542 1.946 * * [simplify]: Extracting #5: cost 32 inf + 247636 2.001 * * [simplify]: Extracting #6: cost 19 inf + 252616 2.070 * * [simplify]: Extracting #7: cost 2 inf + 255229 2.138 * * [simplify]: Extracting #8: cost 0 inf + 255735 2.224 * [simplify]: Simplified to: (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ 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 y))) (/ (cbrt x) (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 (+ (* y (* y y)) (* (* x x) x))) (/ (/ x (- y x)) (+ x y)) 0 0 0 2.227 * * * [progress]: adding candidates to table 2.357 * * [progress]: iteration 2 / 4 2.357 * * * [progress]: picking best candidate 2.364 * * * * [pick]: Picked # 2.364 * * * [progress]: localizing error 2.379 * * * [progress]: generating rewritten candidates 2.379 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.407 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.438 * * * [progress]: generating series expansions 2.438 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.438 * [backup-simplify]: Simplify (/ 1 (/ (+ y x) x)) into (/ x (+ x y)) 2.438 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 2.438 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of (+ x y) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of y in x 2.438 * [backup-simplify]: Simplify y into y 2.438 * [backup-simplify]: Simplify (+ 0 y) into y 2.438 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.438 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.438 * [taylor]: Taking taylor expansion of x in y 2.438 * [backup-simplify]: Simplify x into x 2.438 * [taylor]: Taking taylor expansion of (+ x y) in y 2.438 * [taylor]: Taking taylor expansion of x in y 2.438 * [backup-simplify]: Simplify x into x 2.438 * [taylor]: Taking taylor expansion of y in y 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (+ x 0) into x 2.438 * [backup-simplify]: Simplify (/ x x) into 1 2.438 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.438 * [taylor]: Taking taylor expansion of x in y 2.438 * [backup-simplify]: Simplify x into x 2.438 * [taylor]: Taking taylor expansion of (+ x y) in y 2.438 * [taylor]: Taking taylor expansion of x in y 2.438 * [backup-simplify]: Simplify x into x 2.438 * [taylor]: Taking taylor expansion of y in y 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (+ x 0) into x 2.439 * [backup-simplify]: Simplify (/ x x) into 1 2.439 * [taylor]: Taking taylor expansion of 1 in x 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (+ 0 1) into 1 2.439 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 2.439 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (/ 1 1) into 1 2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (- 0) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (- (/ 1 x)) (/ 1 x)))) into (/ 1 (pow x 2)) 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.442 * [taylor]: Taking taylor expansion of x in x 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (* 1 1) into 1 2.442 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (- 0) into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 2.447 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 2.447 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 2.447 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (/ 1 1) into 1 2.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.448 * [taylor]: Taking taylor expansion of y in x 2.448 * [backup-simplify]: Simplify y into y 2.448 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.448 * [backup-simplify]: Simplify (+ 1 0) into 1 2.449 * [backup-simplify]: Simplify (* 0 1) into 0 2.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.449 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.449 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.450 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.450 * [taylor]: Taking taylor expansion of x in y 2.450 * [backup-simplify]: Simplify x into x 2.450 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.450 * [taylor]: Taking taylor expansion of x in y 2.450 * [backup-simplify]: Simplify x into x 2.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.450 * [taylor]: Taking taylor expansion of y in y 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [backup-simplify]: Simplify (+ 0 1) into 1 2.451 * [backup-simplify]: Simplify (* x 1) into x 2.451 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.451 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.451 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.451 * [taylor]: Taking taylor expansion of x in y 2.451 * [backup-simplify]: Simplify x into x 2.451 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.451 * [taylor]: Taking taylor expansion of x in y 2.451 * [backup-simplify]: Simplify x into x 2.451 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.451 * [taylor]: Taking taylor expansion of y in y 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [backup-simplify]: Simplify (+ 0 1) into 1 2.452 * [backup-simplify]: Simplify (* x 1) into x 2.452 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.452 * [taylor]: Taking taylor expansion of x in x 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.453 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 2.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (* 1 1) into 1 2.454 * [backup-simplify]: Simplify (/ 1 1) into 1 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (- 0) into 0 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.459 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.459 * [taylor]: Taking taylor expansion of x in x 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (* 1 1) into 1 2.463 * [backup-simplify]: Simplify (* 1 1) into 1 2.463 * [backup-simplify]: Simplify (/ 1 1) into 1 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (- 0) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 2.472 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 2.472 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 2.473 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.473 * [taylor]: Taking taylor expansion of x in x 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.473 * [taylor]: Taking taylor expansion of x in x 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (/ 1 1) into 1 2.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.473 * [taylor]: Taking taylor expansion of y in x 2.473 * [backup-simplify]: Simplify y into y 2.473 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.474 * [backup-simplify]: Simplify (+ 1 0) into 1 2.474 * [backup-simplify]: Simplify (* 0 1) into 0 2.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.476 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 2.476 * [backup-simplify]: Simplify (/ 1 1) into 1 2.476 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.476 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.476 * [taylor]: Taking taylor expansion of x in y 2.476 * [backup-simplify]: Simplify x into x 2.476 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.476 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.476 * [taylor]: Taking taylor expansion of x in y 2.477 * [backup-simplify]: Simplify x into x 2.477 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.477 * [taylor]: Taking taylor expansion of y in y 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (/ 1 1) into 1 2.478 * [backup-simplify]: Simplify (+ 0 1) into 1 2.478 * [backup-simplify]: Simplify (* x 1) into x 2.478 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.478 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.478 * [taylor]: Taking taylor expansion of x in y 2.478 * [backup-simplify]: Simplify x into x 2.478 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.478 * [taylor]: Taking taylor expansion of x in y 2.478 * [backup-simplify]: Simplify x into x 2.478 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.478 * [taylor]: Taking taylor expansion of y in y 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (/ 1 1) into 1 2.479 * [backup-simplify]: Simplify (+ 0 1) into 1 2.479 * [backup-simplify]: Simplify (* x 1) into x 2.479 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.480 * [taylor]: Taking taylor expansion of x in x 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (/ 1 1) into 1 2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.483 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 2.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (* 1 1) into 1 2.484 * [backup-simplify]: Simplify (/ 1 1) into 1 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 2.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.493 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.493 * [taylor]: Taking taylor expansion of x in x 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [backup-simplify]: Simplify (* 1 1) into 1 2.494 * [backup-simplify]: Simplify (* 1 1) into 1 2.494 * [backup-simplify]: Simplify (/ 1 1) into 1 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (- 0) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.504 * [backup-simplify]: Simplify (/ (+ y x) x) into (/ (+ x y) x) 2.504 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 2.504 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 2.504 * [taylor]: Taking taylor expansion of (+ x y) in x 2.504 * [taylor]: Taking taylor expansion of x in x 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [taylor]: Taking taylor expansion of y in x 2.504 * [backup-simplify]: Simplify y into y 2.504 * [taylor]: Taking taylor expansion of x in x 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (+ 0 y) into y 2.504 * [backup-simplify]: Simplify (/ y 1) into y 2.504 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 2.504 * [taylor]: Taking taylor expansion of (+ x y) in y 2.504 * [taylor]: Taking taylor expansion of x in y 2.504 * [backup-simplify]: Simplify x into x 2.504 * [taylor]: Taking taylor expansion of y in y 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [taylor]: Taking taylor expansion of x in y 2.504 * [backup-simplify]: Simplify x into x 2.504 * [backup-simplify]: Simplify (+ x 0) into x 2.504 * [backup-simplify]: Simplify (/ x x) into 1 2.504 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 2.504 * [taylor]: Taking taylor expansion of (+ x y) in y 2.504 * [taylor]: Taking taylor expansion of x in y 2.504 * [backup-simplify]: Simplify x into x 2.504 * [taylor]: Taking taylor expansion of y in y 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [taylor]: Taking taylor expansion of x in y 2.504 * [backup-simplify]: Simplify x into x 2.504 * [backup-simplify]: Simplify (+ x 0) into x 2.504 * [backup-simplify]: Simplify (/ x x) into 1 2.504 * [taylor]: Taking taylor expansion of 1 in x 2.504 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (+ 0 1) into 1 2.505 * [backup-simplify]: Simplify (- (/ 1 x) (+ (* 1 (/ 0 x)))) into (/ 1 x) 2.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (/ 1 1) into 1 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.506 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)))) into 0 2.506 * [taylor]: Taking taylor expansion of 0 in x 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.507 * [taylor]: Taking taylor expansion of 0 in x 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.508 * [taylor]: Taking taylor expansion of 0 in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 x) y))) into (+ (/ y x) 1) 2.508 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x)) into (* x (+ (/ 1 x) (/ 1 y))) 2.508 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (y x) around 0 2.508 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.509 * [taylor]: Taking taylor expansion of y in x 2.509 * [backup-simplify]: Simplify y into y 2.509 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.509 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.509 * [taylor]: Taking taylor expansion of x in y 2.509 * [backup-simplify]: Simplify x into x 2.509 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.509 * [taylor]: Taking taylor expansion of x in y 2.509 * [backup-simplify]: Simplify x into x 2.509 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.509 * [taylor]: Taking taylor expansion of y in y 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.509 * [taylor]: Taking taylor expansion of x in y 2.509 * [backup-simplify]: Simplify x into x 2.509 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.509 * [taylor]: Taking taylor expansion of x in y 2.510 * [backup-simplify]: Simplify x into x 2.510 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.510 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.510 * [taylor]: Taking taylor expansion of y in y 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ 1 1) into 1 2.510 * [backup-simplify]: Simplify (+ 0 1) into 1 2.510 * [backup-simplify]: Simplify (* x 1) into x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.511 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.511 * [taylor]: Taking taylor expansion of 1 in x 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (+ 0 0) into 0 2.513 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.513 * [taylor]: Taking taylor expansion of 0 in x 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 2.514 * [taylor]: Taking taylor expansion of 0 in x 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 2.517 * [taylor]: Taking taylor expansion of 0 in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (+ (/ y x) 1) 2.517 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (* x (+ (/ 1 x) (/ 1 y))) 2.517 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (y x) around 0 2.517 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.517 * [taylor]: Taking taylor expansion of y in x 2.517 * [backup-simplify]: Simplify y into y 2.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.518 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.518 * [taylor]: Taking taylor expansion of x in y 2.518 * [backup-simplify]: Simplify x into x 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.518 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.518 * [taylor]: Taking taylor expansion of x in y 2.518 * [backup-simplify]: Simplify x into x 2.518 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.518 * [taylor]: Taking taylor expansion of y in y 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.518 * [taylor]: Taking taylor expansion of x in y 2.518 * [backup-simplify]: Simplify x into x 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.518 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.518 * [taylor]: Taking taylor expansion of x in y 2.518 * [backup-simplify]: Simplify x into x 2.518 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.518 * [taylor]: Taking taylor expansion of y in y 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (/ 1 1) into 1 2.519 * [backup-simplify]: Simplify (+ 0 1) into 1 2.519 * [backup-simplify]: Simplify (* x 1) into x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.520 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.520 * [taylor]: Taking taylor expansion of 1 in x 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.521 * [taylor]: Taking taylor expansion of 0 in x 2.521 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 1 into 1 2.522 * [backup-simplify]: Simplify 1 into 1 2.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 2.525 * [taylor]: Taking taylor expansion of 0 in x 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.528 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 2.528 * [taylor]: Taking taylor expansion of 0 in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (+ (/ y x) 1) 2.529 * * * [progress]: simplifying candidates 2.532 * [simplify]: Simplifying: (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 2.536 * * [simplify]: iteration 0: 156 enodes 2.606 * * [simplify]: iteration 1: 400 enodes 2.739 * * [simplify]: iteration 2: 1875 enodes 3.283 * * [simplify]: iteration complete: 5000 enodes 3.283 * * [simplify]: Extracting #0: cost 65 inf + 0 3.285 * * [simplify]: Extracting #1: cost 667 inf + 45 3.297 * * [simplify]: Extracting #2: cost 1180 inf + 16735 3.324 * * [simplify]: Extracting #3: cost 927 inf + 114445 3.373 * * [simplify]: Extracting #4: cost 93 inf + 222655 3.432 * * [simplify]: Extracting #5: cost 2 inf + 237738 3.481 * * [simplify]: Extracting #6: cost 0 inf + 238245 3.546 * * [simplify]: Extracting #7: cost 0 inf + 238205 3.620 * [simplify]: Simplified to: -1 (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) -1 (- (/ (+ y x) x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (* (/ 1 (cbrt (+ y x))) (/ 1 (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (* (/ 1 (cbrt (+ y x))) (/ 1 (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (* (/ 1 (cbrt (+ y x))) (/ 1 (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ x (+ y x)) (/ (+ y x) x) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (/ 1 (cbrt (+ y x))) (/ 1 (cbrt (+ y x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ y x)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ y x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x))) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x))) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (* (/ (cbrt (+ y x)) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (* (cbrt (+ y x)) (/ (cbrt (+ y x)) (sqrt x))) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* (- x y) x) (* y y))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 3.632 * * * [progress]: adding candidates to table 4.023 * * [progress]: iteration 3 / 4 4.023 * * * [progress]: picking best candidate 4.030 * * * * [pick]: Picked # 4.030 * * * [progress]: localizing error 4.042 * * * [progress]: generating rewritten candidates 4.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.086 * * * [progress]: generating series expansions 4.086 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.086 * [backup-simplify]: Simplify (/ 1 (+ (/ y x) 1)) into (/ 1 (+ (/ y x) 1)) 4.086 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 4.086 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 4.086 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 4.086 * [taylor]: Taking taylor expansion of (/ y x) in x 4.086 * [taylor]: Taking taylor expansion of y in x 4.086 * [backup-simplify]: Simplify y into y 4.086 * [taylor]: Taking taylor expansion of x in x 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ y 1) into y 4.086 * [taylor]: Taking taylor expansion of 1 in x 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (+ y 0) into y 4.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.087 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 4.087 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 4.087 * [taylor]: Taking taylor expansion of (/ y x) in y 4.087 * [taylor]: Taking taylor expansion of y in y 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [taylor]: Taking taylor expansion of x in y 4.087 * [backup-simplify]: Simplify x into x 4.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.087 * [taylor]: Taking taylor expansion of 1 in y 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (+ 0 1) into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 4.088 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 4.088 * [taylor]: Taking taylor expansion of (/ y x) in y 4.088 * [taylor]: Taking taylor expansion of y in y 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of x in y 4.089 * [backup-simplify]: Simplify x into x 4.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.089 * [taylor]: Taking taylor expansion of 1 in y 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (+ 0 1) into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.090 * [taylor]: Taking taylor expansion of 1 in x 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 4.090 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.090 * [taylor]: Taking taylor expansion of x in x 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (- 0) into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.094 * [backup-simplify]: Simplify (+ 0 0) into 0 4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 4.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.095 * [taylor]: Taking taylor expansion of x in x 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (* 1 1) into 1 4.096 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (/ 1 (+ (/ (/ 1 y) (/ 1 x)) 1)) into (/ 1 (+ (/ x y) 1)) 4.105 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 4.105 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 4.105 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 4.105 * [taylor]: Taking taylor expansion of (/ x y) in x 4.105 * [taylor]: Taking taylor expansion of x in x 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.105 * [taylor]: Taking taylor expansion of y in x 4.105 * [backup-simplify]: Simplify y into y 4.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.105 * [taylor]: Taking taylor expansion of 1 in x 4.105 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (+ 0 1) into 1 4.106 * [backup-simplify]: Simplify (/ 1 1) into 1 4.106 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 4.106 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.106 * [taylor]: Taking taylor expansion of (/ x y) in y 4.106 * [taylor]: Taking taylor expansion of x in y 4.106 * [backup-simplify]: Simplify x into x 4.106 * [taylor]: Taking taylor expansion of y in y 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (/ x 1) into x 4.106 * [taylor]: Taking taylor expansion of 1 in y 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (+ x 0) into x 4.106 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.106 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 4.107 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.107 * [taylor]: Taking taylor expansion of (/ x y) in y 4.107 * [taylor]: Taking taylor expansion of x in y 4.107 * [backup-simplify]: Simplify x into x 4.107 * [taylor]: Taking taylor expansion of y in y 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (/ x 1) into x 4.107 * [taylor]: Taking taylor expansion of 1 in y 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (+ x 0) into x 4.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.107 * [taylor]: Taking taylor expansion of x in x 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ 0 1) into 1 4.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 4.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (* 1 1) into 1 4.112 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (- 0) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 4.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 4.120 * [taylor]: Taking taylor expansion of (pow x 3) in x 4.120 * [taylor]: Taking taylor expansion of x in x 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (* 1 1) into 1 4.121 * [backup-simplify]: Simplify (* 1 1) into 1 4.122 * [backup-simplify]: Simplify (/ 1 1) into 1 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (/ 1 (+ (/ (/ 1 (- y)) (/ 1 (- x))) 1)) into (/ 1 (+ (/ x y) 1)) 4.135 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 4.135 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 4.135 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 4.135 * [taylor]: Taking taylor expansion of (/ x y) in x 4.135 * [taylor]: Taking taylor expansion of x in x 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [taylor]: Taking taylor expansion of y in x 4.135 * [backup-simplify]: Simplify y into y 4.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.135 * [taylor]: Taking taylor expansion of 1 in x 4.135 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (+ 0 1) into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 4.137 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.137 * [taylor]: Taking taylor expansion of (/ x y) in y 4.137 * [taylor]: Taking taylor expansion of x in y 4.137 * [backup-simplify]: Simplify x into x 4.137 * [taylor]: Taking taylor expansion of y in y 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ x 1) into x 4.137 * [taylor]: Taking taylor expansion of 1 in y 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (+ x 0) into x 4.137 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.137 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 4.137 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.137 * [taylor]: Taking taylor expansion of (/ x y) in y 4.137 * [taylor]: Taking taylor expansion of x in y 4.137 * [backup-simplify]: Simplify x into x 4.137 * [taylor]: Taking taylor expansion of y in y 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ x 1) into x 4.137 * [taylor]: Taking taylor expansion of 1 in y 4.137 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (+ x 0) into x 4.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.138 * [taylor]: Taking taylor expansion of x in x 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (/ 1 1) into 1 4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (+ 0 1) into 1 4.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 4.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.145 * [taylor]: Taking taylor expansion of x in x 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (* 1 1) into 1 4.146 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (- 0) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (+ 0 0) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 4.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 4.155 * [taylor]: Taking taylor expansion of (pow x 3) in x 4.155 * [taylor]: Taking taylor expansion of x in x 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (* 1 1) into 1 4.156 * [backup-simplify]: Simplify (* 1 1) into 1 4.156 * [backup-simplify]: Simplify (/ 1 1) into 1 4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.169 * [backup-simplify]: Simplify (+ (/ y x) 1) into (+ (/ y x) 1) 4.169 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 4.169 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 4.169 * [taylor]: Taking taylor expansion of (/ y x) in x 4.169 * [taylor]: Taking taylor expansion of y in x 4.169 * [backup-simplify]: Simplify y into y 4.169 * [taylor]: Taking taylor expansion of x in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.170 * [backup-simplify]: Simplify (/ y 1) into y 4.170 * [taylor]: Taking taylor expansion of 1 in x 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 4.170 * [taylor]: Taking taylor expansion of (/ y x) 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 * [taylor]: Taking taylor expansion of x in y 4.170 * [backup-simplify]: Simplify x into x 4.170 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.170 * [taylor]: Taking taylor expansion of 1 in y 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 4.170 * [taylor]: Taking taylor expansion of (/ y x) 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 * [taylor]: Taking taylor expansion of x in y 4.170 * [backup-simplify]: Simplify x into x 4.170 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.170 * [taylor]: Taking taylor expansion of 1 in y 4.170 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (+ 0 1) into 1 4.171 * [taylor]: Taking taylor expansion of 1 in x 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 4.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [taylor]: Taking taylor expansion of 0 in x 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [taylor]: Taking taylor expansion of 0 in x 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.177 * [backup-simplify]: Simplify (+ 0 0) into 0 4.177 * [taylor]: Taking taylor expansion of 0 in x 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 x) y))) into (+ (/ y x) 1) 4.177 * [backup-simplify]: Simplify (+ (/ (/ 1 y) (/ 1 x)) 1) into (+ (/ x y) 1) 4.177 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 4.177 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 4.177 * [taylor]: Taking taylor expansion of (/ x y) in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [taylor]: Taking taylor expansion of y in x 4.177 * [backup-simplify]: Simplify y into y 4.177 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.177 * [taylor]: Taking taylor expansion of 1 in x 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.177 * [taylor]: Taking taylor expansion of (/ x y) in y 4.177 * [taylor]: Taking taylor expansion of x in y 4.178 * [backup-simplify]: Simplify x into x 4.178 * [taylor]: Taking taylor expansion of y in y 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (/ x 1) into x 4.178 * [taylor]: Taking taylor expansion of 1 in y 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.178 * [taylor]: Taking taylor expansion of (/ x y) in y 4.178 * [taylor]: Taking taylor expansion of x in y 4.178 * [backup-simplify]: Simplify x into x 4.178 * [taylor]: Taking taylor expansion of y in y 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (/ x 1) into x 4.178 * [taylor]: Taking taylor expansion of 1 in y 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (+ x 0) into x 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (+ 0 1) into 1 4.180 * [taylor]: Taking taylor expansion of 1 in x 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ 0 0) into 0 4.182 * [taylor]: Taking taylor expansion of 0 in x 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [taylor]: Taking taylor expansion of 0 in x 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (+ (/ y x) 1) 4.186 * [backup-simplify]: Simplify (+ (/ (/ 1 (- y)) (/ 1 (- x))) 1) into (+ (/ x y) 1) 4.186 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 4.186 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 4.186 * [taylor]: Taking taylor expansion of (/ x y) in x 4.186 * [taylor]: Taking taylor expansion of x in x 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [taylor]: Taking taylor expansion of y in x 4.186 * [backup-simplify]: Simplify y into y 4.186 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.186 * [taylor]: Taking taylor expansion of 1 in x 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.186 * [taylor]: Taking taylor expansion of (/ x y) in y 4.186 * [taylor]: Taking taylor expansion of x in y 4.186 * [backup-simplify]: Simplify x into x 4.186 * [taylor]: Taking taylor expansion of y in y 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (/ x 1) into x 4.186 * [taylor]: Taking taylor expansion of 1 in y 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 4.186 * [taylor]: Taking taylor expansion of (/ x y) in y 4.186 * [taylor]: Taking taylor expansion of x in y 4.186 * [backup-simplify]: Simplify x into x 4.186 * [taylor]: Taking taylor expansion of y in y 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (/ x 1) into x 4.187 * [taylor]: Taking taylor expansion of 1 in y 4.187 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (+ x 0) into x 4.187 * [taylor]: Taking taylor expansion of x in x 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (+ 0 1) into 1 4.189 * [taylor]: Taking taylor expansion of 1 in x 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (+ 0 0) into 0 4.192 * [taylor]: Taking taylor expansion of 0 in x 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [taylor]: Taking taylor expansion of 0 in x 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (+ (/ y x) 1) 4.195 * * * [progress]: simplifying candidates 4.197 * [simplify]: Simplifying: (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) (* (exp (/ y x)) (exp 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) (pow 1 3)) (+ (* (/ y x) (/ y x)) (- (* 1 1) (* (/ y x) 1))) (- (* (/ y x) (/ y x)) (* 1 1)) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 4.198 * * [simplify]: iteration 0: 66 enodes 4.235 * * [simplify]: iteration 1: 165 enodes 4.384 * * [simplify]: iteration 2: 851 enodes 4.837 * * [simplify]: iteration complete: 5001 enodes 4.837 * * [simplify]: Extracting #0: cost 30 inf + 0 4.840 * * [simplify]: Extracting #1: cost 975 inf + 3 4.849 * * [simplify]: Extracting #2: cost 1956 inf + 14701 4.860 * * [simplify]: Extracting #3: cost 1595 inf + 44884 4.899 * * [simplify]: Extracting #4: cost 418 inf + 200514 4.965 * * [simplify]: Extracting #5: cost 35 inf + 263994 5.028 * * [simplify]: Extracting #6: cost 6 inf + 268289 5.114 * * [simplify]: Extracting #7: cost 0 inf + 270053 5.187 * [simplify]: Simplified to: -1 (- (log (+ 1 (/ y x)))) (- (log (+ 1 (/ y x)))) (- (log (+ 1 (/ y x)))) (- (log (+ 1 (/ y x)))) (exp (/ 1 (+ 1 (/ y x)))) (* (/ (/ 1 (+ 1 (/ y x))) (+ 1 (/ y x))) (/ 1 (+ 1 (/ y x)))) (* (cbrt (/ 1 (+ 1 (/ y x)))) (cbrt (/ 1 (+ 1 (/ y x))))) (cbrt (/ 1 (+ 1 (/ y x)))) (/ (* (/ 1 (+ 1 (/ y x))) (/ 1 (+ 1 (/ y x)))) (+ 1 (/ y x))) (sqrt (/ 1 (+ 1 (/ y x)))) (sqrt (/ 1 (+ 1 (/ y x)))) -1 (- (+ 1 (/ y x))) (/ (/ 1 (cbrt (+ 1 (/ y x)))) (cbrt (+ 1 (/ y x)))) (/ 1 (cbrt (+ 1 (/ y x)))) (/ 1 (sqrt (+ 1 (/ y x)))) (/ 1 (sqrt (+ 1 (/ y x)))) 1 (/ 1 (+ 1 (/ y x))) 1 (/ 1 (+ 1 (/ y x))) (/ (/ 1 (cbrt (+ 1 (/ y x)))) (cbrt (+ 1 (/ y x)))) (/ 1 (cbrt (+ 1 (/ y x)))) (/ 1 (sqrt (+ 1 (/ y x)))) (/ 1 (sqrt (+ 1 (/ y x)))) 1 (/ 1 (+ 1 (/ y x))) 1 (/ 1 (+ 1 (/ y x))) (/ (/ 1 (cbrt (+ 1 (/ y x)))) (cbrt (+ 1 (/ y x)))) (/ 1 (cbrt (+ 1 (/ y x)))) (/ 1 (sqrt (+ 1 (/ y x)))) (/ 1 (sqrt (+ 1 (/ y x)))) 1 (/ 1 (+ 1 (/ y x))) 1 (/ 1 (+ 1 (/ y x))) (/ 1 (+ 1 (/ y x))) (+ 1 (/ y x)) (/ (/ 1 (cbrt (+ 1 (/ y x)))) (cbrt (+ 1 (/ y x)))) (/ 1 (sqrt (+ 1 (/ y x)))) 1 1 (+ 1 (/ y x)) (+ 1 (/ y x)) (+ 1 (/ y x)) (/ 1 (+ (* (* (/ y x) (/ y x)) (/ y x)) 1)) (/ 1 (+ -1 (* (/ y x) (/ y x)))) (exp (+ (/ y x) 1)) (log (+ 1 (/ y x))) (exp (+ (/ y x) 1)) (* (cbrt (+ 1 (/ y x))) (cbrt (+ 1 (/ y x)))) (cbrt (+ 1 (/ y x))) (* (* (+ 1 (/ y x)) (+ 1 (/ y x))) (+ 1 (/ y x))) (sqrt (+ 1 (/ y x))) (sqrt (+ 1 (/ y x))) (+ (* (* (/ y x) (/ y x)) (/ y x)) 1) (+ (* (/ y x) (/ y x)) (- 1 (/ y x))) (+ -1 (* (/ y x) (/ y x))) (+ (/ y x) -1) (+ 1 (/ y x)) 0 0 0 (+ 1 (/ y x)) (+ 1 (/ y x)) (+ 1 (/ y x)) 5.191 * * * [progress]: adding candidates to table 5.398 * [progress]: [Phase 3 of 3] Extracting. 5.399 * * [regime]: Finding splitpoints for: (# #) 5.399 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 5.399 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# #) 5.451 * * * * [regimes]: Trying to branch on y from (# #) 5.480 * * * * [regimes]: Trying to branch on x from (# #) 5.533 * * * [regime]: Found split indices: #