14.473 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (/ x (+ y x)) 0.027 * * [simplify]: iteration 0: 4 enodes 0.028 * * [simplify]: iteration 1: 5 enodes 0.029 * * [simplify]: iteration complete: 5 enodes 0.029 * * [simplify]: Extracting #0: cost 1 inf + 0 0.029 * * [simplify]: Extracting #1: cost 3 inf + 0 0.029 * * [simplify]: Extracting #2: cost 3 inf + 1 0.029 * * [simplify]: Extracting #3: cost 0 inf + 10 0.029 * [simplify]: Simplified to: (/ x (+ y x)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.067 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.067 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of (+ x y) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (+ x 0) into x 0.067 * [backup-simplify]: Simplify (/ x x) into 1 0.067 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (+ x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (+ x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.068 * [backup-simplify]: Simplify y into y 0.068 * [backup-simplify]: Simplify (+ 0 y) into y 0.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 3) in y 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 (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.090 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.090 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.091 * [backup-simplify]: Simplify (* x 1) into x 0.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.091 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (* 0 1) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.094 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.094 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (* 0 1) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.097 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.112 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.113 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.113 * [backup-simplify]: Simplify (* x 1) into x 0.113 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.113 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [backup-simplify]: Simplify y into y 0.114 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify (* 0 1) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [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 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.115 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [backup-simplify]: Simplify (* 0 1) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.117 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.119 * [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 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * * * [progress]: simplifying candidates 0.128 * [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 0.128 * * [simplify]: iteration 0: 59 enodes 0.141 * * [simplify]: iteration 1: 128 enodes 0.177 * * [simplify]: iteration 2: 417 enodes 0.505 * * [simplify]: iteration 3: 2104 enodes 1.397 * * [simplify]: iteration complete: 5000 enodes 1.397 * * [simplify]: Extracting #0: cost 34 inf + 0 1.398 * * [simplify]: Extracting #1: cost 424 inf + 3 1.400 * * [simplify]: Extracting #2: cost 688 inf + 976 1.404 * * [simplify]: Extracting #3: cost 942 inf + 3755 1.409 * * [simplify]: Extracting #4: cost 261 inf + 9456 1.416 * * [simplify]: Extracting #5: cost 32 inf + 11539 1.426 * * [simplify]: Extracting #6: cost 19 inf + 11636 1.431 * * [simplify]: Extracting #7: cost 2 inf + 11705 1.435 * * [simplify]: Extracting #8: cost 0 inf + 11715 1.440 * [simplify]: Simplified to: (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (- x) y) (* (/ (cbrt x) (cbrt (+ x 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 (+ (pow y 3) (pow x 3))) (/ (/ x (- y x)) (+ x y)) 0 0 0 1.440 * * * [progress]: adding candidates to table 1.566 * * [progress]: iteration 2 / 4 1.566 * * * [progress]: picking best candidate 1.573 * * * * [pick]: Picked # 1.573 * * * [progress]: localizing error 1.581 * * * [progress]: generating rewritten candidates 1.581 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.595 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.613 * * * [progress]: generating series expansions 1.614 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.614 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 1.614 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.614 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.614 * [taylor]: Taking taylor expansion of x in y 1.614 * [backup-simplify]: Simplify x into x 1.614 * [taylor]: Taking taylor expansion of (+ x y) in y 1.614 * [taylor]: Taking taylor expansion of x in y 1.614 * [backup-simplify]: Simplify x into x 1.614 * [taylor]: Taking taylor expansion of y in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (+ x 0) into x 1.614 * [backup-simplify]: Simplify (/ x x) into 1 1.614 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (+ x y) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of y in x 1.614 * [backup-simplify]: Simplify y into y 1.614 * [backup-simplify]: Simplify (+ 0 y) into y 1.614 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.614 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (+ x y) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of y in x 1.614 * [backup-simplify]: Simplify y into y 1.614 * [backup-simplify]: Simplify (+ 0 y) into y 1.614 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ 1 0) into 1 1.616 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 1.616 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.620 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* 1 1) into 1 1.620 * [backup-simplify]: Simplify (* 1 1) into 1 1.620 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 1.627 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 1.627 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 1.627 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.627 * [taylor]: Taking taylor expansion of x in y 1.627 * [backup-simplify]: Simplify x into x 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.627 * [taylor]: Taking taylor expansion of x in y 1.627 * [backup-simplify]: Simplify x into x 1.627 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.627 * [taylor]: Taking taylor expansion of y in y 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (/ 1 1) into 1 1.627 * [backup-simplify]: Simplify (+ 0 1) into 1 1.628 * [backup-simplify]: Simplify (* x 1) into x 1.628 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.628 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.628 * [taylor]: Taking taylor expansion of y in x 1.628 * [backup-simplify]: Simplify y into y 1.628 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.628 * [backup-simplify]: Simplify (+ 1 0) into 1 1.629 * [backup-simplify]: Simplify (* 0 1) into 0 1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.629 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.630 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.630 * [taylor]: Taking taylor expansion of y in x 1.630 * [backup-simplify]: Simplify y into y 1.630 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.631 * [backup-simplify]: Simplify (+ 1 0) into 1 1.631 * [backup-simplify]: Simplify (* 0 1) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.632 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.632 * [backup-simplify]: Simplify (/ 1 1) into 1 1.632 * [taylor]: Taking taylor expansion of 1 in y 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.634 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.634 * [taylor]: Taking taylor expansion of y in y 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.641 * [taylor]: Taking taylor expansion of y in y 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (* 1 1) into 1 1.642 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 1.646 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 1.646 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 1.646 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.646 * [taylor]: Taking taylor expansion of x in y 1.646 * [backup-simplify]: Simplify x into x 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.646 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.646 * [taylor]: Taking taylor expansion of x in y 1.646 * [backup-simplify]: Simplify x into x 1.646 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.646 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ 0 1) into 1 1.647 * [backup-simplify]: Simplify (* x 1) into x 1.647 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.647 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.647 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.647 * [taylor]: Taking taylor expansion of y in x 1.647 * [backup-simplify]: Simplify y into y 1.647 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.647 * [backup-simplify]: Simplify (+ 1 0) into 1 1.648 * [backup-simplify]: Simplify (* 0 1) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.648 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.649 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.649 * [taylor]: Taking taylor expansion of y in x 1.649 * [backup-simplify]: Simplify y into y 1.649 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.649 * [backup-simplify]: Simplify (+ 1 0) into 1 1.650 * [backup-simplify]: Simplify (* 0 1) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.651 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.651 * [taylor]: Taking taylor expansion of 1 in y 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.654 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.654 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (* 1 1) into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.665 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 1.665 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 1.665 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 1.665 * [taylor]: Taking taylor expansion of (+ x y) in y 1.665 * [taylor]: Taking taylor expansion of x in y 1.665 * [backup-simplify]: Simplify x into x 1.665 * [taylor]: Taking taylor expansion of y in y 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [taylor]: Taking taylor expansion of x in y 1.665 * [backup-simplify]: Simplify x into x 1.665 * [backup-simplify]: Simplify (+ x 0) into x 1.666 * [backup-simplify]: Simplify (/ x x) into 1 1.666 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 1.666 * [taylor]: Taking taylor expansion of (+ x y) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [backup-simplify]: Simplify y into y 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (+ 0 y) into y 1.666 * [backup-simplify]: Simplify (/ y 1) into y 1.666 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 1.666 * [taylor]: Taking taylor expansion of (+ x y) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [backup-simplify]: Simplify y into y 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (+ 0 y) into y 1.666 * [backup-simplify]: Simplify (/ y 1) into y 1.666 * [taylor]: Taking taylor expansion of y in y 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ 1 0) into 1 1.668 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 1.668 * [taylor]: Taking taylor expansion of 1 in y 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.670 * [taylor]: Taking taylor expansion of 0 in y 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [taylor]: Taking taylor expansion of 0 in y 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 1.673 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* x (+ (/ 1 x) (/ 1 y))) 1.673 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (x y) around 0 1.673 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [backup-simplify]: Simplify x into x 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [backup-simplify]: Simplify x into x 1.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [backup-simplify]: Simplify y into y 1.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.674 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.675 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [backup-simplify]: Simplify y into y 1.675 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.676 * [backup-simplify]: Simplify (+ 1 0) into 1 1.676 * [backup-simplify]: Simplify (* 0 1) into 0 1.676 * [taylor]: Taking taylor expansion of 0 in y 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.677 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.677 * [taylor]: Taking taylor expansion of 1 in y 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.683 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 1.689 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* x (+ (/ 1 x) (/ 1 y))) 1.689 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (x y) around 0 1.689 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.689 * [taylor]: Taking taylor expansion of x in y 1.689 * [backup-simplify]: Simplify x into x 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.689 * [taylor]: Taking taylor expansion of x in y 1.689 * [backup-simplify]: Simplify x into x 1.689 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [backup-simplify]: Simplify y into y 1.690 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.690 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.691 * [taylor]: Taking taylor expansion of y in x 1.691 * [backup-simplify]: Simplify y into y 1.691 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.692 * [backup-simplify]: Simplify (+ 1 0) into 1 1.692 * [backup-simplify]: Simplify (* 0 1) into 0 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.693 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.693 * [taylor]: Taking taylor expansion of 1 in y 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.696 * [taylor]: Taking taylor expansion of y in y 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.699 * [taylor]: Taking taylor expansion of 0 in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.703 * [taylor]: Taking taylor expansion of 0 in y 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 1.704 * * * [progress]: simplifying candidates 1.707 * [simplify]: Simplifying: (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 1.709 * * [simplify]: iteration 0: 156 enodes 1.784 * * [simplify]: iteration 1: 399 enodes 1.895 * * [simplify]: iteration 2: 1876 enodes 2.425 * * [simplify]: iteration complete: 5001 enodes 2.425 * * [simplify]: Extracting #0: cost 65 inf + 0 2.433 * * [simplify]: Extracting #1: cost 674 inf + 6 2.436 * * [simplify]: Extracting #2: cost 1180 inf + 629 2.444 * * [simplify]: Extracting #3: cost 959 inf + 5977 2.454 * * [simplify]: Extracting #4: cost 108 inf + 12546 2.461 * * [simplify]: Extracting #5: cost 0 inf + 13446 2.466 * [simplify]: Simplified to: -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (- (/ (+ x y) x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (* (/ (cbrt (+ x y)) (cbrt x)) (/ (cbrt (+ x y)) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (cbrt (+ x y)) (/ (sqrt x) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (/ (+ x y) (cbrt x)) (cbrt x)) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (* (- y x) y))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 2.467 * * * [progress]: adding candidates to table 2.848 * * [progress]: iteration 3 / 4 2.848 * * * [progress]: picking best candidate 2.854 * * * * [pick]: Picked # 2.854 * * * [progress]: localizing error 2.864 * * * [progress]: generating rewritten candidates 2.864 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.889 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.914 * * * [progress]: generating series expansions 2.914 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.914 * [backup-simplify]: Simplify (/ 1 (+ (/ y x) 1)) into (/ 1 (+ (/ y x) 1)) 2.914 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 2.914 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 2.914 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 2.914 * [taylor]: Taking taylor expansion of (/ y x) in x 2.914 * [taylor]: Taking taylor expansion of y in x 2.914 * [backup-simplify]: Simplify y into y 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ y 1) into y 2.915 * [taylor]: Taking taylor expansion of 1 in x 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (+ y 0) into y 2.915 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.915 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 2.915 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 2.915 * [taylor]: Taking taylor expansion of (/ y x) in y 2.915 * [taylor]: Taking taylor expansion of y in y 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [taylor]: Taking taylor expansion of x in y 2.915 * [backup-simplify]: Simplify x into x 2.915 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.915 * [taylor]: Taking taylor expansion of 1 in y 2.915 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (+ 0 1) into 1 2.916 * [backup-simplify]: Simplify (/ 1 1) into 1 2.916 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 2.916 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 2.916 * [taylor]: Taking taylor expansion of (/ y x) in y 2.916 * [taylor]: Taking taylor expansion of y in y 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [taylor]: Taking taylor expansion of x in y 2.916 * [backup-simplify]: Simplify x into x 2.917 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.917 * [taylor]: Taking taylor expansion of 1 in y 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (+ 0 1) into 1 2.917 * [backup-simplify]: Simplify (/ 1 1) into 1 2.917 * [taylor]: Taking taylor expansion of 1 in x 2.917 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 2.918 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.918 * [taylor]: Taking taylor expansion of x in x 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (/ 1 1) into 1 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (- 0) into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 2.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (* 1 1) into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (- 0) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (/ 1 (+ (/ (/ 1 y) (/ 1 x)) 1)) into (/ 1 (+ (/ x y) 1)) 2.926 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 2.926 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 2.926 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 2.926 * [taylor]: Taking taylor expansion of (/ x y) in x 2.926 * [taylor]: Taking taylor expansion of x in x 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [taylor]: Taking taylor expansion of y in x 2.927 * [backup-simplify]: Simplify y into y 2.927 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.927 * [taylor]: Taking taylor expansion of 1 in x 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (+ 0 1) into 1 2.927 * [backup-simplify]: Simplify (/ 1 1) into 1 2.927 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 2.927 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.927 * [taylor]: Taking taylor expansion of (/ x y) in y 2.927 * [taylor]: Taking taylor expansion of x in y 2.927 * [backup-simplify]: Simplify x into x 2.927 * [taylor]: Taking taylor expansion of y in y 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (/ x 1) into x 2.927 * [taylor]: Taking taylor expansion of 1 in y 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (+ x 0) into x 2.927 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.927 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 2.927 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.927 * [taylor]: Taking taylor expansion of (/ x y) in y 2.927 * [taylor]: Taking taylor expansion of x in y 2.927 * [backup-simplify]: Simplify x into x 2.927 * [taylor]: Taking taylor expansion of y in y 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (/ x 1) into x 2.928 * [taylor]: Taking taylor expansion of 1 in y 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (+ x 0) into x 2.928 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.928 * [taylor]: Taking taylor expansion of x in x 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (/ 1 1) into 1 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 1) into 1 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 2.929 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify (* 1 1) into 1 2.930 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (- 0) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.934 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.934 * [taylor]: Taking taylor expansion of x in x 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (- 0) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (/ 1 (+ (/ (/ 1 (- y)) (/ 1 (- x))) 1)) into (/ 1 (+ (/ x y) 1)) 2.941 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 2.941 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 2.941 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 2.941 * [taylor]: Taking taylor expansion of (/ x y) in x 2.941 * [taylor]: Taking taylor expansion of x in x 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [taylor]: Taking taylor expansion of y in x 2.941 * [backup-simplify]: Simplify y into y 2.941 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.941 * [taylor]: Taking taylor expansion of 1 in x 2.941 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (+ 0 1) into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 2.942 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.942 * [taylor]: Taking taylor expansion of (/ x y) in y 2.942 * [taylor]: Taking taylor expansion of x in y 2.942 * [backup-simplify]: Simplify x into x 2.942 * [taylor]: Taking taylor expansion of y in y 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ x 1) into x 2.942 * [taylor]: Taking taylor expansion of 1 in y 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (+ x 0) into x 2.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.942 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 2.942 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.942 * [taylor]: Taking taylor expansion of (/ x y) in y 2.942 * [taylor]: Taking taylor expansion of x in y 2.942 * [backup-simplify]: Simplify x into x 2.942 * [taylor]: Taking taylor expansion of y in y 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ x 1) into x 2.942 * [taylor]: Taking taylor expansion of 1 in y 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (+ x 0) into x 2.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (/ 1 1) into 1 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 1) into 1 2.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 2.944 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.944 * [taylor]: Taking taylor expansion of x in x 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (* 1 1) into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 2.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.949 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.961 * [backup-simplify]: Simplify (+ (/ y x) 1) into (+ (/ y x) 1) 2.961 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 2.961 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 2.961 * [taylor]: Taking taylor expansion of (/ y x) in x 2.961 * [taylor]: Taking taylor expansion of y in x 2.961 * [backup-simplify]: Simplify y into y 2.961 * [taylor]: Taking taylor expansion of x in x 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (/ y 1) into y 2.961 * [taylor]: Taking taylor expansion of 1 in x 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 2.961 * [taylor]: Taking taylor expansion of (/ y x) in y 2.961 * [taylor]: Taking taylor expansion of y in y 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of x in y 2.961 * [backup-simplify]: Simplify x into x 2.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.961 * [taylor]: Taking taylor expansion of 1 in y 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 2.962 * [taylor]: Taking taylor expansion of (/ y x) in y 2.962 * [taylor]: Taking taylor expansion of y in y 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of x in y 2.962 * [backup-simplify]: Simplify x into x 2.962 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.962 * [taylor]: Taking taylor expansion of 1 in y 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (+ 0 1) into 1 2.962 * [taylor]: Taking taylor expansion of 1 in x 2.962 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.964 * [backup-simplify]: Simplify (+ 0 0) into 0 2.964 * [taylor]: Taking taylor expansion of 0 in x 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [taylor]: Taking taylor expansion of 0 in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.967 * [backup-simplify]: Simplify (+ 0 0) into 0 2.967 * [taylor]: Taking taylor expansion of 0 in x 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 x) y))) into (+ (/ y x) 1) 2.967 * [backup-simplify]: Simplify (+ (/ (/ 1 y) (/ 1 x)) 1) into (+ (/ x y) 1) 2.967 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 2.967 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 2.967 * [taylor]: Taking taylor expansion of (/ x y) in x 2.967 * [taylor]: Taking taylor expansion of x in x 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [taylor]: Taking taylor expansion of y in x 2.968 * [backup-simplify]: Simplify y into y 2.968 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.968 * [taylor]: Taking taylor expansion of 1 in x 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.968 * [taylor]: Taking taylor expansion of (/ x y) in y 2.968 * [taylor]: Taking taylor expansion of x in y 2.968 * [backup-simplify]: Simplify x into x 2.968 * [taylor]: Taking taylor expansion of y in y 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (/ x 1) into x 2.968 * [taylor]: Taking taylor expansion of 1 in y 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.968 * [taylor]: Taking taylor expansion of (/ x y) in y 2.968 * [taylor]: Taking taylor expansion of x in y 2.968 * [backup-simplify]: Simplify x into x 2.968 * [taylor]: Taking taylor expansion of y in y 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (/ x 1) into x 2.968 * [taylor]: Taking taylor expansion of 1 in y 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (+ x 0) into x 2.968 * [taylor]: Taking taylor expansion of x in x 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (+ 0 1) into 1 2.970 * [taylor]: Taking taylor expansion of 1 in x 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.972 * [taylor]: Taking taylor expansion of 0 in x 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [taylor]: Taking taylor expansion of 0 in x 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (+ (/ y x) 1) 2.975 * [backup-simplify]: Simplify (+ (/ (/ 1 (- y)) (/ 1 (- x))) 1) into (+ (/ x y) 1) 2.975 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 2.975 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 2.975 * [taylor]: Taking taylor expansion of (/ x y) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.975 * [taylor]: Taking taylor expansion of 1 in x 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.975 * [taylor]: Taking taylor expansion of (/ x y) in y 2.975 * [taylor]: Taking taylor expansion of x in y 2.975 * [backup-simplify]: Simplify x into x 2.975 * [taylor]: Taking taylor expansion of y in y 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ x 1) into x 2.976 * [taylor]: Taking taylor expansion of 1 in y 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.976 * [taylor]: Taking taylor expansion of (/ x y) in y 2.976 * [taylor]: Taking taylor expansion of x in y 2.976 * [backup-simplify]: Simplify x into x 2.976 * [taylor]: Taking taylor expansion of y in y 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ x 1) into x 2.976 * [taylor]: Taking taylor expansion of 1 in y 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (+ x 0) into x 2.976 * [taylor]: Taking taylor expansion of x in x 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (+ 0 1) into 1 2.978 * [taylor]: Taking taylor expansion of 1 in x 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [taylor]: Taking taylor expansion of 0 in x 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [taylor]: Taking taylor expansion of 0 in x 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (+ (/ y x) 1) 2.981 * * * [progress]: simplifying candidates 2.982 * [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) 2.982 * * [simplify]: iteration 0: 66 enodes 3.016 * * [simplify]: iteration 1: 165 enodes 3.157 * * [simplify]: iteration 2: 851 enodes 3.621 * * [simplify]: iteration complete: 5001 enodes 3.622 * * [simplify]: Extracting #0: cost 30 inf + 0 3.623 * * [simplify]: Extracting #1: cost 975 inf + 3 3.627 * * [simplify]: Extracting #2: cost 1956 inf + 699 3.634 * * [simplify]: Extracting #3: cost 1595 inf + 2458 3.641 * * [simplify]: Extracting #4: cost 418 inf + 12630 3.650 * * [simplify]: Extracting #5: cost 35 inf + 16923 3.662 * * [simplify]: Extracting #6: cost 6 inf + 17095 3.668 * * [simplify]: Extracting #7: cost 0 inf + 17137 3.678 * [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 (pow (+ 1 (/ y x)) 3)) (* (cbrt (/ 1 (+ 1 (/ y x)))) (cbrt (/ 1 (+ 1 (/ y x))))) (cbrt (/ 1 (+ 1 (/ y x)))) (pow (/ 1 (+ 1 (/ y x))) 3) (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 (+ (pow (/ y x) 3) 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))) (pow (+ 1 (/ y x)) 3) (sqrt (+ 1 (/ y x))) (sqrt (+ 1 (/ y x))) (+ (pow (/ y x) 3) 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)) 3.678 * * * [progress]: adding candidates to table 3.867 * [progress]: [Phase 3 of 3] Extracting. 3.867 * * [regime]: Finding splitpoints for: (# #) 3.867 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 3.867 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# #) 3.905 * * * * [regimes]: Trying to branch on y from (# #) 3.950 * * * * [regimes]: Trying to branch on x from (# #) 4.001 * * * [regime]: Found split indices: #