26.803 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ x (+ y x)) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.026 * [simplify]: Simplified to: (/ x (+ y x)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.057 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.057 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [taylor]: Taking taylor expansion of (+ x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ x 0) into x 0.057 * [backup-simplify]: Simplify (/ x x) into 1 0.057 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of (+ x y) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [backup-simplify]: Simplify y into y 0.057 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.058 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 (* 1 1) into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.083 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.083 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [backup-simplify]: Simplify x into x 0.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.085 * [backup-simplify]: Simplify (* x 1) into x 0.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.085 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.085 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [backup-simplify]: Simplify (+ 0 1) into 1 0.086 * [backup-simplify]: Simplify (* 0 1) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.088 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [backup-simplify]: Simplify (* 0 1) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.090 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.093 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.105 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.105 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.106 * [backup-simplify]: Simplify x into x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [backup-simplify]: Simplify x into x 0.106 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.107 * [backup-simplify]: Simplify (* x 1) into x 0.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (+ 0 1) into 1 0.108 * [backup-simplify]: Simplify (* 0 1) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.109 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (+ 0 1) into 1 0.111 * [backup-simplify]: Simplify (* 0 1) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.112 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [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: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (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 0.129 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.130 * * [simplify]: Extracting # 3 : cost 0 0.130 * * [simplify]: Extracting # 4 : cost 0 0.130 * * [simplify]: Extracting # 5 : cost 0 0.130 * * [simplify]: Extracting # 6 : cost 0 0.130 * * [simplify]: Extracting # 7 : cost 0 0.131 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.147 * * [simplify]: Extracting # 0 : cost 0 0.148 * * [simplify]: Extracting # 1 : cost 0 0.148 * * [simplify]: Extracting # 2 : cost 0 0.148 * * [simplify]: Extracting # 3 : cost 0 0.148 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.193 * * [simplify]: Extracting # 0 : cost 0 0.193 * * [simplify]: Extracting # 1 : cost 0 0.193 * * [simplify]: Extracting # 2 : cost 0 0.194 * * [simplify]: Extracting # 3 : cost 0 0.194 * * [simplify]: Extracting # 4 : cost 0 0.194 * * [simplify]: iteration 2 : 286 enodes (cost 299 ) 0.295 * * [simplify]: Extracting # 0 : cost 0 0.295 * * [simplify]: Extracting # 1 : cost 0 0.296 * * [simplify]: Extracting # 2 : cost 0 0.296 * * [simplify]: Extracting # 3 : cost 0 0.297 * * [simplify]: iteration 3 : 587 enodes (cost 299 ) 0.636 * * [simplify]: Extracting # 0 : cost 0 0.638 * * [simplify]: Extracting # 1 : cost 0 0.641 * * [simplify]: Extracting # 2 : cost 0 0.643 * * [simplify]: Extracting # 3 : cost 0 0.645 * * [simplify]: Extracting # 4 : cost 0 0.646 * * [simplify]: iteration 4 : 1573 enodes (cost 299 ) 3.552 * * [simplify]: Extracting # 0 : cost 0 3.563 * * [simplify]: Extracting # 1 : cost 0 3.569 * * [simplify]: Extracting # 2 : cost 0 3.574 * * [simplify]: Extracting # 3 : cost 0 3.578 * * [simplify]: Extracting # 4 : cost 0 3.583 * * [simplify]: iteration done: 5001 enodes (cost 299 ) 3.583 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ x y) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 3.584 * * * [progress]: adding candidates to table 3.687 * * [progress]: iteration 2 / 4 3.687 * * * [progress]: picking best candidate 3.690 * * * * [pick]: Picked # 3.690 * * * [progress]: localizing error 3.696 * * * [progress]: generating rewritten candidates 3.696 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.736 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.767 * * * [progress]: generating series expansions 3.767 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.767 * [backup-simplify]: Simplify (* x (/ 1 (+ y x))) into (/ x (+ x y)) 3.767 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 3.767 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.767 * [taylor]: Taking taylor expansion of x in y 3.767 * [backup-simplify]: Simplify x into x 3.767 * [taylor]: Taking taylor expansion of (+ x y) in y 3.767 * [taylor]: Taking taylor expansion of x in y 3.767 * [backup-simplify]: Simplify x into x 3.767 * [taylor]: Taking taylor expansion of y in y 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (+ x 0) into x 3.767 * [backup-simplify]: Simplify (/ x x) into 1 3.767 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.767 * [taylor]: Taking taylor expansion of x in x 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.768 * [taylor]: Taking taylor expansion of (+ x y) in x 3.768 * [taylor]: Taking taylor expansion of x in x 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [taylor]: Taking taylor expansion of y in x 3.768 * [backup-simplify]: Simplify y into y 3.768 * [backup-simplify]: Simplify (+ 0 y) into y 3.768 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.768 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.768 * [taylor]: Taking taylor expansion of x in x 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [taylor]: Taking taylor expansion of (+ x y) in x 3.768 * [taylor]: Taking taylor expansion of x in x 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [taylor]: Taking taylor expansion of y in x 3.768 * [backup-simplify]: Simplify y into y 3.768 * [backup-simplify]: Simplify (+ 0 y) into y 3.768 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.768 * [taylor]: Taking taylor expansion of y in y 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify (+ 1 0) into 1 3.771 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 3.771 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.771 * [taylor]: Taking taylor expansion of y in y 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (/ 1 1) into 1 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (- 0) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 3.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.777 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.777 * [taylor]: Taking taylor expansion of y in y 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.791 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.791 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.791 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.791 * [taylor]: Taking taylor expansion of x in y 3.791 * [backup-simplify]: Simplify x into x 3.791 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.791 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.791 * [taylor]: Taking taylor expansion of y in y 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (/ 1 1) into 1 3.791 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.791 * [taylor]: Taking taylor expansion of x in y 3.791 * [backup-simplify]: Simplify x into x 3.792 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.792 * [backup-simplify]: Simplify (+ 1 0) into 1 3.792 * [backup-simplify]: Simplify (* x 1) into x 3.792 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.792 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.792 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.792 * [taylor]: Taking taylor expansion of x in x 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.792 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.792 * [taylor]: Taking taylor expansion of y in x 3.792 * [backup-simplify]: Simplify y into y 3.792 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.793 * [taylor]: Taking taylor expansion of x in x 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [backup-simplify]: Simplify (/ 1 1) into 1 3.793 * [backup-simplify]: Simplify (+ 0 1) into 1 3.794 * [backup-simplify]: Simplify (* 0 1) into 0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.795 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.795 * [backup-simplify]: Simplify (/ 1 1) into 1 3.795 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.795 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.795 * [taylor]: Taking taylor expansion of x in x 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.796 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.796 * [taylor]: Taking taylor expansion of y in x 3.796 * [backup-simplify]: Simplify y into y 3.796 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ 1 1) into 1 3.797 * [backup-simplify]: Simplify (+ 0 1) into 1 3.797 * [backup-simplify]: Simplify (* 0 1) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.798 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.799 * [backup-simplify]: Simplify (/ 1 1) into 1 3.799 * [taylor]: Taking taylor expansion of 1 in y 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.802 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.802 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.802 * [taylor]: Taking taylor expansion of y in y 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (- 0) into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.808 * [taylor]: Taking taylor expansion of y in y 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (* 1 1) into 1 3.809 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (- 0) into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.816 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.816 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.816 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.816 * [taylor]: Taking taylor expansion of x in y 3.816 * [backup-simplify]: Simplify x into x 3.816 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.816 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.816 * [taylor]: Taking taylor expansion of y in y 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (/ 1 1) into 1 3.817 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.817 * [taylor]: Taking taylor expansion of x in y 3.817 * [backup-simplify]: Simplify x into x 3.817 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.817 * [backup-simplify]: Simplify (+ 1 0) into 1 3.818 * [backup-simplify]: Simplify (* x 1) into x 3.818 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.818 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.818 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.818 * [taylor]: Taking taylor expansion of x in x 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.818 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.818 * [taylor]: Taking taylor expansion of y in x 3.818 * [backup-simplify]: Simplify y into y 3.818 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.818 * [taylor]: Taking taylor expansion of x in x 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (/ 1 1) into 1 3.823 * [backup-simplify]: Simplify (+ 0 1) into 1 3.824 * [backup-simplify]: Simplify (* 0 1) into 0 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.825 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.826 * [backup-simplify]: Simplify (/ 1 1) into 1 3.826 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.826 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.826 * [taylor]: Taking taylor expansion of y in x 3.826 * [backup-simplify]: Simplify y into y 3.826 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.827 * [backup-simplify]: Simplify (/ 1 1) into 1 3.827 * [backup-simplify]: Simplify (+ 0 1) into 1 3.827 * [backup-simplify]: Simplify (* 0 1) into 0 3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.829 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.829 * [backup-simplify]: Simplify (/ 1 1) into 1 3.829 * [taylor]: Taking taylor expansion of 1 in y 3.829 * [backup-simplify]: Simplify 1 into 1 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.832 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.832 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.832 * [taylor]: Taking taylor expansion of y in y 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (/ 1 1) into 1 3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.834 * [backup-simplify]: Simplify (- 0) into 0 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.838 * [taylor]: Taking taylor expansion of y in y 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify (* 1 1) into 1 3.839 * [backup-simplify]: Simplify (/ 1 1) into 1 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (- 0) into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.845 * [backup-simplify]: Simplify (/ 1 (+ y x)) into (/ 1 (+ x y)) 3.845 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 3.845 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.845 * [taylor]: Taking taylor expansion of (+ x y) in x 3.845 * [taylor]: Taking taylor expansion of x in x 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [taylor]: Taking taylor expansion of y in x 3.846 * [backup-simplify]: Simplify y into y 3.846 * [backup-simplify]: Simplify (+ 0 y) into y 3.846 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.846 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.846 * [taylor]: Taking taylor expansion of (+ x y) in y 3.846 * [taylor]: Taking taylor expansion of x in y 3.846 * [backup-simplify]: Simplify x into x 3.846 * [taylor]: Taking taylor expansion of y in y 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (+ x 0) into x 3.846 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.846 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.846 * [taylor]: Taking taylor expansion of (+ x y) in y 3.846 * [taylor]: Taking taylor expansion of x in y 3.846 * [backup-simplify]: Simplify x into x 3.846 * [taylor]: Taking taylor expansion of y in y 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (+ x 0) into x 3.846 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify (+ 0 1) into 1 3.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 3.848 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.848 * [taylor]: Taking taylor expansion of x in x 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (* 1 1) into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (- 0) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 3.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 3.854 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.854 * [taylor]: Taking taylor expansion of x in x 3.854 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (* 1 1) into 1 3.855 * [backup-simplify]: Simplify (* 1 1) into 1 3.856 * [backup-simplify]: Simplify (/ 1 1) into 1 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (- 0) into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) (/ 1 x))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 3.867 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 3.867 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.867 * [taylor]: Taking taylor expansion of y in x 3.867 * [backup-simplify]: Simplify y into y 3.867 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [backup-simplify]: Simplify (+ 0 1) into 1 3.869 * [backup-simplify]: Simplify (/ 1 1) into 1 3.869 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.869 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.869 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.869 * [taylor]: Taking taylor expansion of y in y 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (/ 1 1) into 1 3.869 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.869 * [taylor]: Taking taylor expansion of x in y 3.869 * [backup-simplify]: Simplify x into x 3.869 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.870 * [backup-simplify]: Simplify (+ 1 0) into 1 3.870 * [backup-simplify]: Simplify (/ 1 1) into 1 3.870 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.870 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.870 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.870 * [taylor]: Taking taylor expansion of y in y 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (/ 1 1) into 1 3.871 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.871 * [taylor]: Taking taylor expansion of x in y 3.871 * [backup-simplify]: Simplify x into x 3.871 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.871 * [backup-simplify]: Simplify (+ 1 0) into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [taylor]: Taking taylor expansion of 1 in x 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 3.873 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.873 * [taylor]: Taking taylor expansion of x in x 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.877 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- 0) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 3.883 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 3.883 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 3.883 * [taylor]: Taking taylor expansion of -1 in x 3.883 * [backup-simplify]: Simplify -1 into -1 3.883 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.883 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.883 * [taylor]: Taking taylor expansion of y in x 3.883 * [backup-simplify]: Simplify y into y 3.883 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.883 * [taylor]: Taking taylor expansion of x in x 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (/ 1 1) into 1 3.883 * [backup-simplify]: Simplify (+ 0 1) into 1 3.884 * [backup-simplify]: Simplify (/ -1 1) into -1 3.884 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.884 * [taylor]: Taking taylor expansion of -1 in y 3.884 * [backup-simplify]: Simplify -1 into -1 3.884 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.884 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.884 * [taylor]: Taking taylor expansion of y in y 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.884 * [taylor]: Taking taylor expansion of x in y 3.884 * [backup-simplify]: Simplify x into x 3.884 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.884 * [backup-simplify]: Simplify (+ 1 0) into 1 3.885 * [backup-simplify]: Simplify (/ -1 1) into -1 3.885 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.885 * [taylor]: Taking taylor expansion of -1 in y 3.885 * [backup-simplify]: Simplify -1 into -1 3.885 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.885 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.885 * [taylor]: Taking taylor expansion of y in y 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.885 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.885 * [taylor]: Taking taylor expansion of x in y 3.885 * [backup-simplify]: Simplify x into x 3.885 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.885 * [backup-simplify]: Simplify (+ 1 0) into 1 3.886 * [backup-simplify]: Simplify (/ -1 1) into -1 3.886 * [taylor]: Taking taylor expansion of -1 in x 3.886 * [backup-simplify]: Simplify -1 into -1 3.886 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 x) 1)))) into (/ 1 x) 3.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.887 * [taylor]: Taking taylor expansion of x in x 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (/ 1 1) into 1 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 x) 1)))) into (- (/ 1 (pow x 2))) 3.890 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.890 * [taylor]: Taking taylor expansion of x in x 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (* 1 1) into 1 3.891 * [backup-simplify]: Simplify (/ 1 1) into 1 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (- 0) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * * * [progress]: simplifying candidates 3.896 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 3.897 * * [simplify]: Extracting # 0 : cost 0 3.897 * * [simplify]: Extracting # 1 : cost 0 3.897 * * [simplify]: Extracting # 2 : cost 0 3.897 * * [simplify]: Extracting # 3 : cost 0 3.897 * * [simplify]: Extracting # 4 : cost 0 3.898 * * [simplify]: Extracting # 5 : cost 0 3.898 * * [simplify]: Extracting # 6 : cost 0 3.898 * * [simplify]: iteration 0 : 99 enodes (cost 783 ) 3.955 * * [simplify]: Extracting # 0 : cost 0 3.955 * * [simplify]: Extracting # 1 : cost 0 3.956 * * [simplify]: Extracting # 2 : cost 0 3.956 * * [simplify]: Extracting # 3 : cost 0 3.957 * * [simplify]: iteration 1 : 225 enodes (cost 603 ) 4.024 * * [simplify]: Extracting # 0 : cost 0 4.025 * * [simplify]: Extracting # 1 : cost 0 4.025 * * [simplify]: Extracting # 2 : cost 0 4.025 * * [simplify]: Extracting # 3 : cost 0 4.026 * * [simplify]: Extracting # 4 : cost 0 4.026 * * [simplify]: Extracting # 5 : cost 0 4.026 * * [simplify]: Extracting # 6 : cost 0 4.027 * * [simplify]: iteration 2 : 464 enodes (cost 541 ) 4.296 * * [simplify]: Extracting # 0 : cost 0 4.297 * * [simplify]: Extracting # 1 : cost 0 4.298 * * [simplify]: Extracting # 2 : cost 0 4.299 * * [simplify]: Extracting # 3 : cost 0 4.299 * * [simplify]: iteration 3 : 952 enodes (cost 541 ) 5.087 * * [simplify]: Extracting # 0 : cost 0 5.089 * * [simplify]: Extracting # 1 : cost 0 5.091 * * [simplify]: Extracting # 2 : cost 0 5.093 * * [simplify]: Extracting # 3 : cost 0 5.094 * * [simplify]: Extracting # 4 : cost 0 5.096 * * [simplify]: Extracting # 5 : cost 0 5.097 * * [simplify]: iteration 4 : 2098 enodes (cost 541 ) 7.558 * * [simplify]: Extracting # 0 : cost 0 7.570 * * [simplify]: Extracting # 1 : cost 0 7.579 * * [simplify]: Extracting # 2 : cost 0 7.587 * * [simplify]: Extracting # 3 : cost 0 7.594 * * [simplify]: Extracting # 4 : cost 0 7.598 * * [simplify]: iteration done: 5000 enodes (cost 541 ) 7.599 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (/ 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))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) -1 (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (exp (/ 1 (+ y x))) (pow (/ 1 (+ x y)) 3) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (pow (/ 1 (+ x y)) 3) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) -1 (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 7.599 * * * [progress]: adding candidates to table 7.772 * * [progress]: iteration 3 / 4 7.772 * * * [progress]: picking best candidate 7.780 * * * * [pick]: Picked # 7.781 * * * [progress]: localizing error 7.792 * * * [progress]: generating rewritten candidates 7.792 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.827 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 7.878 * * * [progress]: generating series expansions 7.878 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.878 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 7.878 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 7.878 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 7.878 * [taylor]: Taking taylor expansion of x in y 7.878 * [backup-simplify]: Simplify x into x 7.878 * [taylor]: Taking taylor expansion of (+ x y) in y 7.878 * [taylor]: Taking taylor expansion of x in y 7.878 * [backup-simplify]: Simplify x into x 7.878 * [taylor]: Taking taylor expansion of y in y 7.878 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify (+ x 0) into x 7.879 * [backup-simplify]: Simplify (/ x x) into 1 7.879 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.879 * [taylor]: Taking taylor expansion of x in x 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of (+ x y) in x 7.879 * [taylor]: Taking taylor expansion of x in x 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of y in x 7.879 * [backup-simplify]: Simplify y into y 7.879 * [backup-simplify]: Simplify (+ 0 y) into y 7.879 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.879 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.879 * [taylor]: Taking taylor expansion of x in x 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of (+ x y) in x 7.879 * [taylor]: Taking taylor expansion of x in x 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of y in x 7.879 * [backup-simplify]: Simplify y into y 7.879 * [backup-simplify]: Simplify (+ 0 y) into y 7.880 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.880 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.880 * [taylor]: Taking taylor expansion of y in y 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (/ 1 1) into 1 7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.881 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify (+ 1 0) into 1 7.882 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 7.882 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.882 * [taylor]: Taking taylor expansion of y in y 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.883 * [backup-simplify]: Simplify (* 1 1) into 1 7.883 * [backup-simplify]: Simplify (/ 1 1) into 1 7.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.887 * [backup-simplify]: Simplify (- 0) into 0 7.887 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify (+ 0 0) into 0 7.889 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 7.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.889 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.889 * [taylor]: Taking taylor expansion of y in y 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [backup-simplify]: Simplify (* 1 1) into 1 7.890 * [backup-simplify]: Simplify (* 1 1) into 1 7.890 * [backup-simplify]: Simplify (/ 1 1) into 1 7.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (- 0) into 0 7.896 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.897 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.897 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.897 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.897 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.897 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.897 * [taylor]: Taking taylor expansion of y in y 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify (/ 1 1) into 1 7.897 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.897 * [taylor]: Taking taylor expansion of x in y 7.898 * [backup-simplify]: Simplify x into x 7.898 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.898 * [taylor]: Taking taylor expansion of x in y 7.898 * [backup-simplify]: Simplify x into x 7.898 * [backup-simplify]: Simplify (+ 1 0) into 1 7.898 * [backup-simplify]: Simplify (* 1 x) into x 7.898 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.898 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.898 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.898 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.898 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.898 * [taylor]: Taking taylor expansion of y in x 7.898 * [backup-simplify]: Simplify y into y 7.898 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.898 * [taylor]: Taking taylor expansion of x in x 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (/ 1 1) into 1 7.898 * [taylor]: Taking taylor expansion of x in x 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (+ 0 1) into 1 7.899 * [backup-simplify]: Simplify (* 1 0) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.900 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.900 * [backup-simplify]: Simplify (/ 1 1) into 1 7.900 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.900 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.900 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.900 * [taylor]: Taking taylor expansion of y in x 7.900 * [backup-simplify]: Simplify y into y 7.900 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.900 * [taylor]: Taking taylor expansion of x in x 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 1 into 1 7.900 * [backup-simplify]: Simplify (/ 1 1) into 1 7.900 * [taylor]: Taking taylor expansion of x in x 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 1 into 1 7.901 * [backup-simplify]: Simplify (+ 0 1) into 1 7.901 * [backup-simplify]: Simplify (* 1 0) into 0 7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.902 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.902 * [backup-simplify]: Simplify (/ 1 1) into 1 7.902 * [taylor]: Taking taylor expansion of 1 in y 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.904 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.904 * [taylor]: Taking taylor expansion of y in y 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (/ 1 1) into 1 7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (- 0) into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.912 * [taylor]: Taking taylor expansion of y in y 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (* 1 1) into 1 7.913 * [backup-simplify]: Simplify (/ 1 1) into 1 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (- 0) into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.917 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.917 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.917 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.917 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.917 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.917 * [taylor]: Taking taylor expansion of y in y 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.917 * [backup-simplify]: Simplify (/ 1 1) into 1 7.917 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.917 * [taylor]: Taking taylor expansion of x in y 7.917 * [backup-simplify]: Simplify x into x 7.917 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.917 * [taylor]: Taking taylor expansion of x in y 7.917 * [backup-simplify]: Simplify x into x 7.917 * [backup-simplify]: Simplify (+ 1 0) into 1 7.918 * [backup-simplify]: Simplify (* 1 x) into x 7.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.918 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.918 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.918 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.918 * [taylor]: Taking taylor expansion of y in x 7.918 * [backup-simplify]: Simplify y into y 7.918 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.918 * [taylor]: Taking taylor expansion of x in x 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (/ 1 1) into 1 7.918 * [taylor]: Taking taylor expansion of x in x 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (+ 0 1) into 1 7.919 * [backup-simplify]: Simplify (* 1 0) into 0 7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.919 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.919 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.920 * [backup-simplify]: Simplify (/ 1 1) into 1 7.920 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.920 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.920 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.920 * [taylor]: Taking taylor expansion of y in x 7.920 * [backup-simplify]: Simplify y into y 7.920 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.920 * [taylor]: Taking taylor expansion of x in x 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (/ 1 1) into 1 7.920 * [taylor]: Taking taylor expansion of x in x 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (+ 0 1) into 1 7.921 * [backup-simplify]: Simplify (* 1 0) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.922 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.922 * [backup-simplify]: Simplify (/ 1 1) into 1 7.922 * [taylor]: Taking taylor expansion of 1 in y 7.922 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (+ 0 0) into 0 7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.924 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.924 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.924 * [taylor]: Taking taylor expansion of y in y 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify 1 into 1 7.924 * [backup-simplify]: Simplify (/ 1 1) into 1 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (- 0) into 0 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (+ 0 0) into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.928 * [taylor]: Taking taylor expansion of y in y 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (* 1 1) into 1 7.929 * [backup-simplify]: Simplify (/ 1 1) into 1 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (- 0) into 0 7.935 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify 0 into 0 7.935 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 7.936 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 7.936 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 7.936 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 7.936 * [taylor]: Taking taylor expansion of (+ x y) in y 7.936 * [taylor]: Taking taylor expansion of x in y 7.936 * [backup-simplify]: Simplify x into x 7.936 * [taylor]: Taking taylor expansion of y in y 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 1 into 1 7.936 * [taylor]: Taking taylor expansion of x in y 7.936 * [backup-simplify]: Simplify x into x 7.936 * [backup-simplify]: Simplify (+ x 0) into x 7.936 * [backup-simplify]: Simplify (/ x x) into 1 7.936 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.936 * [taylor]: Taking taylor expansion of (+ x y) in x 7.936 * [taylor]: Taking taylor expansion of x in x 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 1 into 1 7.936 * [taylor]: Taking taylor expansion of y in x 7.936 * [backup-simplify]: Simplify y into y 7.936 * [taylor]: Taking taylor expansion of x in x 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 1 into 1 7.936 * [backup-simplify]: Simplify (+ 0 y) into y 7.936 * [backup-simplify]: Simplify (/ y 1) into y 7.936 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.937 * [taylor]: Taking taylor expansion of (+ x y) in x 7.937 * [taylor]: Taking taylor expansion of x in x 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [taylor]: Taking taylor expansion of y in x 7.937 * [backup-simplify]: Simplify y into y 7.937 * [taylor]: Taking taylor expansion of x in x 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (+ 0 y) into y 7.937 * [backup-simplify]: Simplify (/ y 1) into y 7.937 * [taylor]: Taking taylor expansion of y in y 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify (+ 1 0) into 1 7.938 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 7.938 * [taylor]: Taking taylor expansion of 1 in y 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify 1 into 1 7.939 * [backup-simplify]: Simplify (+ 0 0) into 0 7.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.940 * [taylor]: Taking taylor expansion of 0 in y 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify (+ 0 0) into 0 7.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.942 * [taylor]: Taking taylor expansion of 0 in y 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 7.943 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 7.943 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.943 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.943 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.943 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.943 * [taylor]: Taking taylor expansion of y in y 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 1 into 1 7.944 * [backup-simplify]: Simplify (/ 1 1) into 1 7.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.944 * [taylor]: Taking taylor expansion of x in y 7.944 * [backup-simplify]: Simplify x into x 7.944 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.944 * [taylor]: Taking taylor expansion of x in y 7.944 * [backup-simplify]: Simplify x into x 7.944 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.944 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.944 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.944 * [taylor]: Taking taylor expansion of y in x 7.944 * [backup-simplify]: Simplify y into y 7.944 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.944 * [taylor]: Taking taylor expansion of x in x 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [backup-simplify]: Simplify (/ 1 1) into 1 7.945 * [taylor]: Taking taylor expansion of x in x 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.945 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.945 * [taylor]: Taking taylor expansion of y in x 7.945 * [backup-simplify]: Simplify y into y 7.945 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.945 * [taylor]: Taking taylor expansion of x in x 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (/ 1 1) into 1 7.945 * [taylor]: Taking taylor expansion of x in x 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (+ 0 1) into 1 7.946 * [backup-simplify]: Simplify (* 1 0) into 0 7.946 * [taylor]: Taking taylor expansion of 0 in y 7.946 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.948 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.948 * [taylor]: Taking taylor expansion of 1 in y 7.948 * [backup-simplify]: Simplify 1 into 1 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.949 * [backup-simplify]: Simplify (+ 0 0) into 0 7.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.950 * [taylor]: Taking taylor expansion of y in y 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (/ 1 1) into 1 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.952 * [backup-simplify]: Simplify (+ 0 0) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.953 * [taylor]: Taking taylor expansion of 0 in y 7.953 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (+ 0 0) into 0 7.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.957 * [taylor]: Taking taylor expansion of 0 in y 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 7.959 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 7.959 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.959 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.959 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.959 * [taylor]: Taking taylor expansion of y in y 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.959 * [taylor]: Taking taylor expansion of x in y 7.959 * [backup-simplify]: Simplify x into x 7.959 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.959 * [taylor]: Taking taylor expansion of x in y 7.959 * [backup-simplify]: Simplify x into x 7.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.959 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.960 * [taylor]: Taking taylor expansion of y in x 7.960 * [backup-simplify]: Simplify y into y 7.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.960 * [taylor]: Taking taylor expansion of x in x 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 1 into 1 7.960 * [backup-simplify]: Simplify (/ 1 1) into 1 7.960 * [taylor]: Taking taylor expansion of x in x 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 1 into 1 7.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.960 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.960 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.960 * [taylor]: Taking taylor expansion of y in x 7.960 * [backup-simplify]: Simplify y into y 7.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.960 * [taylor]: Taking taylor expansion of x in x 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (/ 1 1) into 1 7.961 * [taylor]: Taking taylor expansion of x in x 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (+ 0 1) into 1 7.962 * [backup-simplify]: Simplify (* 1 0) into 0 7.962 * [taylor]: Taking taylor expansion of 0 in y 7.962 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.963 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.963 * [taylor]: Taking taylor expansion of 1 in y 7.963 * [backup-simplify]: Simplify 1 into 1 7.963 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (+ 0 0) into 0 7.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.966 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.966 * [taylor]: Taking taylor expansion of y in y 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (+ 0 0) into 0 7.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.970 * [taylor]: Taking taylor expansion of 0 in y 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.972 * [backup-simplify]: Simplify (+ 0 0) into 0 7.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.974 * [taylor]: Taking taylor expansion of 0 in y 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 7.975 * * * [progress]: simplifying candidates 7.978 * [simplify]: Simplifying: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 7.984 * * [simplify]: Extracting # 0 : cost 0 7.984 * * [simplify]: Extracting # 1 : cost 0 7.985 * * [simplify]: Extracting # 2 : cost 0 7.985 * * [simplify]: Extracting # 3 : cost 0 7.985 * * [simplify]: Extracting # 4 : cost 0 7.986 * * [simplify]: Extracting # 5 : cost 0 7.986 * * [simplify]: Extracting # 6 : cost 0 7.987 * * [simplify]: Extracting # 7 : cost 0 7.987 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 8.061 * * [simplify]: Extracting # 0 : cost 0 8.062 * * [simplify]: Extracting # 1 : cost 0 8.063 * * [simplify]: Extracting # 2 : cost 0 8.063 * * [simplify]: Extracting # 3 : cost 0 8.064 * * [simplify]: Extracting # 4 : cost 0 8.065 * * [simplify]: iteration 1 : 339 enodes (cost 1374 ) 8.157 * * [simplify]: Extracting # 0 : cost 0 8.158 * * [simplify]: Extracting # 1 : cost 0 8.159 * * [simplify]: Extracting # 2 : cost 0 8.160 * * [simplify]: Extracting # 3 : cost 0 8.161 * * [simplify]: Extracting # 4 : cost 0 8.162 * * [simplify]: iteration 2 : 664 enodes (cost 1203 ) 8.551 * * [simplify]: Extracting # 0 : cost 0 8.554 * * [simplify]: Extracting # 1 : cost 0 8.556 * * [simplify]: Extracting # 2 : cost 0 8.558 * * [simplify]: Extracting # 3 : cost 0 8.560 * * [simplify]: Extracting # 4 : cost 0 8.562 * * [simplify]: Extracting # 5 : cost 0 8.564 * * [simplify]: iteration 3 : 1377 enodes (cost 1179 ) 9.975 * * [simplify]: Extracting # 0 : cost 0 9.979 * * [simplify]: Extracting # 1 : cost 0 9.982 * * [simplify]: Extracting # 2 : cost 0 9.985 * * [simplify]: Extracting # 3 : cost 0 9.988 * * [simplify]: Extracting # 4 : cost 0 9.991 * * [simplify]: iteration 4 : 2622 enodes (cost 1179 ) 12.891 * * [simplify]: Extracting # 0 : cost 0 12.907 * * [simplify]: Extracting # 1 : cost 0 12.915 * * [simplify]: Extracting # 2 : cost 0 12.921 * * [simplify]: Extracting # 3 : cost 0 12.928 * * [simplify]: Extracting # 4 : cost 0 12.935 * * [simplify]: iteration done: 5000 enodes (cost 1178 ) 12.937 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (- -1 (/ y x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (* (/ (cbrt (+ x y)) (cbrt x)) (/ (cbrt (+ x y)) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (* (/ (cbrt (+ x y)) (sqrt x)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 12.939 * * * [progress]: adding candidates to table 13.144 * * [progress]: iteration 4 / 4 13.144 * * * [progress]: picking best candidate 13.146 * * * * [pick]: Picked # 13.146 * * * [progress]: localizing error 13.152 * * * [progress]: generating rewritten candidates 13.152 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 13.192 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 13.245 * * * [progress]: generating series expansions 13.245 * * * * [progress]: [ 1 / 2 ] generating series at (2) 13.245 * [backup-simplify]: Simplify (/ 1 (* (+ x y) (/ 1 x))) into (/ x (+ x y)) 13.245 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 13.245 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 13.245 * [taylor]: Taking taylor expansion of x in y 13.245 * [backup-simplify]: Simplify x into x 13.246 * [taylor]: Taking taylor expansion of (+ x y) in y 13.246 * [taylor]: Taking taylor expansion of x in y 13.246 * [backup-simplify]: Simplify x into x 13.246 * [taylor]: Taking taylor expansion of y in y 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.246 * [backup-simplify]: Simplify (+ x 0) into x 13.246 * [backup-simplify]: Simplify (/ x x) into 1 13.246 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.246 * [taylor]: Taking taylor expansion of x in x 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.246 * [taylor]: Taking taylor expansion of (+ x y) in x 13.246 * [taylor]: Taking taylor expansion of x in x 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.246 * [taylor]: Taking taylor expansion of y in x 13.246 * [backup-simplify]: Simplify y into y 13.246 * [backup-simplify]: Simplify (+ 0 y) into y 13.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.246 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.246 * [taylor]: Taking taylor expansion of x in x 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.246 * [taylor]: Taking taylor expansion of (+ x y) in x 13.246 * [taylor]: Taking taylor expansion of x in x 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.246 * [taylor]: Taking taylor expansion of y in x 13.246 * [backup-simplify]: Simplify y into y 13.246 * [backup-simplify]: Simplify (+ 0 y) into y 13.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.246 * [taylor]: Taking taylor expansion of y in y 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.247 * [backup-simplify]: Simplify (/ 1 1) into 1 13.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.247 * [backup-simplify]: Simplify 0 into 0 13.247 * [backup-simplify]: Simplify (+ 1 0) into 1 13.248 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.248 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 13.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.248 * [taylor]: Taking taylor expansion of y in y 13.248 * [backup-simplify]: Simplify 0 into 0 13.248 * [backup-simplify]: Simplify 1 into 1 13.248 * [backup-simplify]: Simplify (* 1 1) into 1 13.248 * [backup-simplify]: Simplify (/ 1 1) into 1 13.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.250 * [backup-simplify]: Simplify (- 0) into 0 13.250 * [backup-simplify]: Simplify 0 into 0 13.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.251 * [backup-simplify]: Simplify 0 into 0 13.251 * [backup-simplify]: Simplify (+ 0 0) into 0 13.251 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 13.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 13.251 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.251 * [taylor]: Taking taylor expansion of y in y 13.251 * [backup-simplify]: Simplify 0 into 0 13.251 * [backup-simplify]: Simplify 1 into 1 13.252 * [backup-simplify]: Simplify (* 1 1) into 1 13.252 * [backup-simplify]: Simplify (* 1 1) into 1 13.252 * [backup-simplify]: Simplify (/ 1 1) into 1 13.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.256 * [backup-simplify]: Simplify 0 into 0 13.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.257 * [backup-simplify]: Simplify (- 0) into 0 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify (/ 1 (* (+ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 13.258 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 13.258 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 13.258 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 13.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.258 * [taylor]: Taking taylor expansion of y in y 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify 1 into 1 13.259 * [backup-simplify]: Simplify (/ 1 1) into 1 13.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.259 * [taylor]: Taking taylor expansion of x in y 13.259 * [backup-simplify]: Simplify x into x 13.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.259 * [taylor]: Taking taylor expansion of x in y 13.259 * [backup-simplify]: Simplify x into x 13.259 * [backup-simplify]: Simplify (+ 1 0) into 1 13.259 * [backup-simplify]: Simplify (* 1 x) into x 13.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.259 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 13.259 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.260 * [taylor]: Taking taylor expansion of y in x 13.260 * [backup-simplify]: Simplify y into y 13.260 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.260 * [taylor]: Taking taylor expansion of x in x 13.260 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify 1 into 1 13.260 * [backup-simplify]: Simplify (/ 1 1) into 1 13.260 * [taylor]: Taking taylor expansion of x in x 13.260 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify 1 into 1 13.261 * [backup-simplify]: Simplify (+ 0 1) into 1 13.261 * [backup-simplify]: Simplify (* 1 0) into 0 13.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.262 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.262 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 13.263 * [backup-simplify]: Simplify (/ 1 1) into 1 13.263 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 13.263 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.263 * [taylor]: Taking taylor expansion of y in x 13.263 * [backup-simplify]: Simplify y into y 13.263 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.263 * [taylor]: Taking taylor expansion of x in x 13.263 * [backup-simplify]: Simplify 0 into 0 13.263 * [backup-simplify]: Simplify 1 into 1 13.263 * [backup-simplify]: Simplify (/ 1 1) into 1 13.263 * [taylor]: Taking taylor expansion of x in x 13.264 * [backup-simplify]: Simplify 0 into 0 13.264 * [backup-simplify]: Simplify 1 into 1 13.264 * [backup-simplify]: Simplify (+ 0 1) into 1 13.264 * [backup-simplify]: Simplify (* 1 0) into 0 13.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.265 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.266 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 13.266 * [backup-simplify]: Simplify (/ 1 1) into 1 13.266 * [taylor]: Taking taylor expansion of 1 in y 13.266 * [backup-simplify]: Simplify 1 into 1 13.266 * [backup-simplify]: Simplify 0 into 0 13.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.267 * [backup-simplify]: Simplify (+ 0 0) into 0 13.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 13.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.268 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.269 * [taylor]: Taking taylor expansion of y in y 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify 1 into 1 13.269 * [backup-simplify]: Simplify (/ 1 1) into 1 13.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.271 * [backup-simplify]: Simplify (- 0) into 0 13.271 * [backup-simplify]: Simplify 0 into 0 13.271 * [backup-simplify]: Simplify 0 into 0 13.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.272 * [backup-simplify]: Simplify (+ 0 0) into 0 13.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 13.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.274 * [taylor]: Taking taylor expansion of y in y 13.274 * [backup-simplify]: Simplify 0 into 0 13.274 * [backup-simplify]: Simplify 1 into 1 13.275 * [backup-simplify]: Simplify (* 1 1) into 1 13.275 * [backup-simplify]: Simplify (/ 1 1) into 1 13.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.280 * [backup-simplify]: Simplify 0 into 0 13.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.282 * [backup-simplify]: Simplify (- 0) into 0 13.282 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify (/ 1 (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 13.282 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 13.282 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 13.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 13.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.282 * [taylor]: Taking taylor expansion of y in y 13.282 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify 1 into 1 13.283 * [backup-simplify]: Simplify (/ 1 1) into 1 13.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.283 * [taylor]: Taking taylor expansion of x in y 13.283 * [backup-simplify]: Simplify x into x 13.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.283 * [taylor]: Taking taylor expansion of x in y 13.283 * [backup-simplify]: Simplify x into x 13.283 * [backup-simplify]: Simplify (+ 1 0) into 1 13.284 * [backup-simplify]: Simplify (* 1 x) into x 13.284 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.284 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 13.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.284 * [taylor]: Taking taylor expansion of y in x 13.284 * [backup-simplify]: Simplify y into y 13.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.284 * [taylor]: Taking taylor expansion of x in x 13.284 * [backup-simplify]: Simplify 0 into 0 13.284 * [backup-simplify]: Simplify 1 into 1 13.284 * [backup-simplify]: Simplify (/ 1 1) into 1 13.284 * [taylor]: Taking taylor expansion of x in x 13.284 * [backup-simplify]: Simplify 0 into 0 13.285 * [backup-simplify]: Simplify 1 into 1 13.285 * [backup-simplify]: Simplify (+ 0 1) into 1 13.285 * [backup-simplify]: Simplify (* 1 0) into 0 13.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.286 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.287 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 13.287 * [backup-simplify]: Simplify (/ 1 1) into 1 13.287 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 13.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.287 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.287 * [taylor]: Taking taylor expansion of y in x 13.287 * [backup-simplify]: Simplify y into y 13.287 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.287 * [taylor]: Taking taylor expansion of x in x 13.287 * [backup-simplify]: Simplify 0 into 0 13.287 * [backup-simplify]: Simplify 1 into 1 13.288 * [backup-simplify]: Simplify (/ 1 1) into 1 13.288 * [taylor]: Taking taylor expansion of x in x 13.288 * [backup-simplify]: Simplify 0 into 0 13.288 * [backup-simplify]: Simplify 1 into 1 13.288 * [backup-simplify]: Simplify (+ 0 1) into 1 13.289 * [backup-simplify]: Simplify (* 1 0) into 0 13.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.290 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.290 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 13.291 * [backup-simplify]: Simplify (/ 1 1) into 1 13.291 * [taylor]: Taking taylor expansion of 1 in y 13.291 * [backup-simplify]: Simplify 1 into 1 13.291 * [backup-simplify]: Simplify 0 into 0 13.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.292 * [backup-simplify]: Simplify (+ 0 0) into 0 13.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 13.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.293 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.293 * [taylor]: Taking taylor expansion of y in y 13.293 * [backup-simplify]: Simplify 0 into 0 13.293 * [backup-simplify]: Simplify 1 into 1 13.294 * [backup-simplify]: Simplify (/ 1 1) into 1 13.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.295 * [backup-simplify]: Simplify (- 0) into 0 13.295 * [backup-simplify]: Simplify 0 into 0 13.296 * [backup-simplify]: Simplify 0 into 0 13.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.297 * [backup-simplify]: Simplify (+ 0 0) into 0 13.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 13.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.299 * [taylor]: Taking taylor expansion of y in y 13.299 * [backup-simplify]: Simplify 0 into 0 13.299 * [backup-simplify]: Simplify 1 into 1 13.299 * [backup-simplify]: Simplify (* 1 1) into 1 13.300 * [backup-simplify]: Simplify (/ 1 1) into 1 13.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.304 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.305 * [backup-simplify]: Simplify (- 0) into 0 13.305 * [backup-simplify]: Simplify 0 into 0 13.306 * [backup-simplify]: Simplify 0 into 0 13.306 * [backup-simplify]: Simplify 0 into 0 13.306 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 13.306 * [backup-simplify]: Simplify (* (+ x y) (/ 1 x)) into (/ (+ x y) x) 13.306 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 13.306 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 13.306 * [taylor]: Taking taylor expansion of (+ x y) in y 13.306 * [taylor]: Taking taylor expansion of x in y 13.306 * [backup-simplify]: Simplify x into x 13.306 * [taylor]: Taking taylor expansion of y in y 13.306 * [backup-simplify]: Simplify 0 into 0 13.306 * [backup-simplify]: Simplify 1 into 1 13.306 * [taylor]: Taking taylor expansion of x in y 13.306 * [backup-simplify]: Simplify x into x 13.306 * [backup-simplify]: Simplify (+ x 0) into x 13.306 * [backup-simplify]: Simplify (/ x x) into 1 13.306 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 13.306 * [taylor]: Taking taylor expansion of (+ x y) in x 13.306 * [taylor]: Taking taylor expansion of x in x 13.306 * [backup-simplify]: Simplify 0 into 0 13.306 * [backup-simplify]: Simplify 1 into 1 13.306 * [taylor]: Taking taylor expansion of y in x 13.306 * [backup-simplify]: Simplify y into y 13.306 * [taylor]: Taking taylor expansion of x in x 13.306 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify 1 into 1 13.307 * [backup-simplify]: Simplify (+ 0 y) into y 13.307 * [backup-simplify]: Simplify (/ y 1) into y 13.307 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 13.307 * [taylor]: Taking taylor expansion of (+ x y) in x 13.307 * [taylor]: Taking taylor expansion of x in x 13.307 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify 1 into 1 13.307 * [taylor]: Taking taylor expansion of y in x 13.307 * [backup-simplify]: Simplify y into y 13.307 * [taylor]: Taking taylor expansion of x in x 13.307 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify 1 into 1 13.307 * [backup-simplify]: Simplify (+ 0 y) into y 13.307 * [backup-simplify]: Simplify (/ y 1) into y 13.307 * [taylor]: Taking taylor expansion of y in y 13.307 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify 1 into 1 13.307 * [backup-simplify]: Simplify 0 into 0 13.308 * [backup-simplify]: Simplify (+ 1 0) into 1 13.308 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 13.308 * [taylor]: Taking taylor expansion of 1 in y 13.308 * [backup-simplify]: Simplify 1 into 1 13.308 * [backup-simplify]: Simplify 1 into 1 13.309 * [backup-simplify]: Simplify 1 into 1 13.309 * [backup-simplify]: Simplify (+ 0 0) into 0 13.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 13.310 * [taylor]: Taking taylor expansion of 0 in y 13.310 * [backup-simplify]: Simplify 0 into 0 13.310 * [backup-simplify]: Simplify 0 into 0 13.310 * [backup-simplify]: Simplify 0 into 0 13.310 * [backup-simplify]: Simplify 0 into 0 13.311 * [backup-simplify]: Simplify (+ 0 0) into 0 13.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.312 * [taylor]: Taking taylor expansion of 0 in y 13.312 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify 0 into 0 13.313 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 13.313 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 x))) into (* (+ (/ 1 y) (/ 1 x)) x) 13.313 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 13.313 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 13.313 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.313 * [taylor]: Taking taylor expansion of y in y 13.313 * [backup-simplify]: Simplify 0 into 0 13.313 * [backup-simplify]: Simplify 1 into 1 13.313 * [backup-simplify]: Simplify (/ 1 1) into 1 13.313 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.313 * [taylor]: Taking taylor expansion of x in y 13.314 * [backup-simplify]: Simplify x into x 13.314 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.314 * [taylor]: Taking taylor expansion of x in y 13.314 * [backup-simplify]: Simplify x into x 13.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.314 * [taylor]: Taking taylor expansion of y in x 13.314 * [backup-simplify]: Simplify y into y 13.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.314 * [taylor]: Taking taylor expansion of x in x 13.314 * [backup-simplify]: Simplify 0 into 0 13.314 * [backup-simplify]: Simplify 1 into 1 13.314 * [backup-simplify]: Simplify (/ 1 1) into 1 13.314 * [taylor]: Taking taylor expansion of x in x 13.314 * [backup-simplify]: Simplify 0 into 0 13.314 * [backup-simplify]: Simplify 1 into 1 13.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.315 * [taylor]: Taking taylor expansion of y in x 13.315 * [backup-simplify]: Simplify y into y 13.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.315 * [taylor]: Taking taylor expansion of x in x 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 1 into 1 13.315 * [backup-simplify]: Simplify (/ 1 1) into 1 13.315 * [taylor]: Taking taylor expansion of x in x 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 1 into 1 13.316 * [backup-simplify]: Simplify (+ 0 1) into 1 13.316 * [backup-simplify]: Simplify (* 1 0) into 0 13.316 * [taylor]: Taking taylor expansion of 0 in y 13.316 * [backup-simplify]: Simplify 0 into 0 13.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.321 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.322 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 13.322 * [taylor]: Taking taylor expansion of 1 in y 13.322 * [backup-simplify]: Simplify 1 into 1 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.323 * [backup-simplify]: Simplify (+ 0 0) into 0 13.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 13.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.324 * [taylor]: Taking taylor expansion of y in y 13.324 * [backup-simplify]: Simplify 0 into 0 13.324 * [backup-simplify]: Simplify 1 into 1 13.324 * [backup-simplify]: Simplify (/ 1 1) into 1 13.324 * [backup-simplify]: Simplify 1 into 1 13.324 * [backup-simplify]: Simplify 1 into 1 13.324 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.326 * [backup-simplify]: Simplify (+ 0 0) into 0 13.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 13.327 * [taylor]: Taking taylor expansion of 0 in y 13.327 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.329 * [backup-simplify]: Simplify (+ 0 0) into 0 13.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.330 * [taylor]: Taking taylor expansion of 0 in y 13.331 * [backup-simplify]: Simplify 0 into 0 13.331 * [backup-simplify]: Simplify 0 into 0 13.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.332 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 13.332 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- x)))) into (* (+ (/ 1 y) (/ 1 x)) x) 13.332 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 13.332 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 13.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.332 * [taylor]: Taking taylor expansion of y in y 13.332 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify 1 into 1 13.333 * [backup-simplify]: Simplify (/ 1 1) into 1 13.333 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.333 * [taylor]: Taking taylor expansion of x in y 13.333 * [backup-simplify]: Simplify x into x 13.333 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.333 * [taylor]: Taking taylor expansion of x in y 13.333 * [backup-simplify]: Simplify x into x 13.333 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.333 * [taylor]: Taking taylor expansion of y in x 13.333 * [backup-simplify]: Simplify y into y 13.333 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.333 * [taylor]: Taking taylor expansion of x in x 13.333 * [backup-simplify]: Simplify 0 into 0 13.333 * [backup-simplify]: Simplify 1 into 1 13.334 * [backup-simplify]: Simplify (/ 1 1) into 1 13.334 * [taylor]: Taking taylor expansion of x in x 13.334 * [backup-simplify]: Simplify 0 into 0 13.334 * [backup-simplify]: Simplify 1 into 1 13.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 13.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.334 * [taylor]: Taking taylor expansion of y in x 13.334 * [backup-simplify]: Simplify y into y 13.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.334 * [taylor]: Taking taylor expansion of x in x 13.334 * [backup-simplify]: Simplify 0 into 0 13.334 * [backup-simplify]: Simplify 1 into 1 13.335 * [backup-simplify]: Simplify (/ 1 1) into 1 13.335 * [taylor]: Taking taylor expansion of x in x 13.335 * [backup-simplify]: Simplify 0 into 0 13.335 * [backup-simplify]: Simplify 1 into 1 13.335 * [backup-simplify]: Simplify (+ 0 1) into 1 13.336 * [backup-simplify]: Simplify (* 1 0) into 0 13.336 * [taylor]: Taking taylor expansion of 0 in y 13.336 * [backup-simplify]: Simplify 0 into 0 13.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.336 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.337 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 13.337 * [taylor]: Taking taylor expansion of 1 in y 13.337 * [backup-simplify]: Simplify 1 into 1 13.337 * [backup-simplify]: Simplify 0 into 0 13.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.338 * [backup-simplify]: Simplify (+ 0 0) into 0 13.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 13.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.339 * [taylor]: Taking taylor expansion of y in y 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [backup-simplify]: Simplify 1 into 1 13.340 * [backup-simplify]: Simplify (/ 1 1) into 1 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.341 * [backup-simplify]: Simplify (+ 0 0) into 0 13.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 13.342 * [taylor]: Taking taylor expansion of 0 in y 13.342 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.345 * [backup-simplify]: Simplify (+ 0 0) into 0 13.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.346 * [taylor]: Taking taylor expansion of 0 in y 13.346 * [backup-simplify]: Simplify 0 into 0 13.346 * [backup-simplify]: Simplify 0 into 0 13.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.347 * [backup-simplify]: Simplify 0 into 0 13.347 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 13.347 * * * [progress]: simplifying candidates 13.349 * [simplify]: Simplifying: (expm1 (/ 1 (* (+ x y) (/ 1 x)))) (log1p (/ 1 (* (+ x y) (/ 1 x)))) (- 1) (- 1) (- (+ (log (+ x y)) (- (log x)))) (- (+ (log (+ x y)) (- 0 (log x)))) (- (+ (log (+ x y)) (- (log 1) (log x)))) (- (+ (log (+ x y)) (log (/ 1 x)))) (- (log (* (+ x y) (/ 1 x)))) (- 0 (+ (log (+ x y)) (- (log x)))) (- 0 (+ (log (+ x y)) (- 0 (log x)))) (- 0 (+ (log (+ x y)) (- (log 1) (log x)))) (- 0 (+ (log (+ x y)) (log (/ 1 x)))) (- 0 (log (* (+ x y) (/ 1 x)))) (- (log 1) (+ (log (+ x y)) (- (log x)))) (- (log 1) (+ (log (+ x y)) (- 0 (log x)))) (- (log 1) (+ (log (+ x y)) (- (log 1) (log x)))) (- (log 1) (+ (log (+ x y)) (log (/ 1 x)))) (- (log 1) (log (* (+ x y) (/ 1 x)))) (log (/ 1 (* (+ x y) (/ 1 x)))) (exp (/ 1 (* (+ x y) (/ 1 x)))) (/ (* (* 1 1) 1) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* x x) x)))) (/ (* (* 1 1) 1) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))) (/ (* (* 1 1) 1) (* (* (* (+ x y) (/ 1 x)) (* (+ x y) (/ 1 x))) (* (+ x y) (/ 1 x)))) (* (cbrt (/ 1 (* (+ x y) (/ 1 x)))) (cbrt (/ 1 (* (+ x y) (/ 1 x))))) (cbrt (/ 1 (* (+ x y) (/ 1 x)))) (* (* (/ 1 (* (+ x y) (/ 1 x))) (/ 1 (* (+ x y) (/ 1 x)))) (/ 1 (* (+ x y) (/ 1 x)))) (sqrt (/ 1 (* (+ x y) (/ 1 x)))) (sqrt (/ 1 (* (+ x y) (/ 1 x)))) (- 1) (- (* (+ x y) (/ 1 x))) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (* (+ x y) (/ 1 x))) (/ (* (+ x y) (/ 1 x)) 1) (/ 1 (+ x y)) (/ (* (+ x y) (/ 1 x)) (cbrt 1)) (/ (* (+ x y) (/ 1 x)) (sqrt 1)) (/ (* (+ x y) (/ 1 x)) 1) (/ 1 (* (+ (pow x 3) (pow y 3)) 1)) (/ 1 (* (- (* x x) (* y y)) 1)) (/ 1 (+ x y)) (/ 1 (* (+ x y) 1)) (/ 1 (* (+ (pow x 3) (pow y 3)) (/ 1 x))) (/ 1 (* (- (* x x) (* y y)) (/ 1 x))) (expm1 (* (+ x y) (/ 1 x))) (log1p (* (+ x y) (/ 1 x))) (* (+ x y) (/ 1 x)) (+ (log (+ x y)) (- (log x))) (+ (log (+ x y)) (- 0 (log x))) (+ (log (+ x y)) (- (log 1) (log x))) (+ (log (+ x y)) (log (/ 1 x))) (log (* (+ x y) (/ 1 x))) (exp (* (+ x y) (/ 1 x))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (+ x y) (/ 1 x))) (cbrt (* (+ x y) (/ 1 x)))) (cbrt (* (+ x y) (/ 1 x))) (* (* (* (+ x y) (/ 1 x)) (* (+ x y) (/ 1 x))) (* (+ x y) (/ 1 x))) (sqrt (* (+ x y) (/ 1 x))) (sqrt (* (+ x y) (/ 1 x))) (* (+ (pow x 3) (pow y 3)) 1) (* (+ (* x x) (- (* y y) (* x y))) x) (* (- (* x x) (* y y)) 1) (* (- x y) x) (* (sqrt (+ x y)) (sqrt (/ 1 x))) (* (sqrt (+ x y)) (sqrt (/ 1 x))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt x))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt x))) (* (sqrt (+ x y)) (/ 1 (sqrt x))) (* (sqrt (+ x y)) (/ 1 (sqrt x))) (* (+ x y) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (+ x y) (sqrt (/ 1 x))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x y) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (+ x y) (/ (sqrt 1) (sqrt x))) (* (+ x y) (/ (sqrt 1) 1)) (* (+ x y) (/ 1 (* (cbrt x) (cbrt x)))) (* (+ x y) (/ 1 (sqrt x))) (* (+ x y) (/ 1 1)) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (/ 1 x)) (* (sqrt (+ x y)) (/ 1 x)) (* (+ x y) (/ 1 x)) (* (+ x y) (/ 1 x)) (* (+ x y) 1) (* (+ (pow x 3) (pow y 3)) (/ 1 x)) (* (- (* x x) (* y y)) (/ 1 x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 13.352 * * [simplify]: Extracting # 0 : cost 0 13.353 * * [simplify]: Extracting # 1 : cost 0 13.353 * * [simplify]: Extracting # 2 : cost 0 13.353 * * [simplify]: Extracting # 3 : cost 0 13.353 * * [simplify]: Extracting # 4 : cost 0 13.354 * * [simplify]: Extracting # 5 : cost 0 13.354 * * [simplify]: Extracting # 6 : cost 0 13.355 * * [simplify]: Extracting # 7 : cost 0 13.355 * * [simplify]: iteration 0 : 137 enodes (cost 1008 ) 13.463 * * [simplify]: Extracting # 0 : cost 0 13.464 * * [simplify]: Extracting # 1 : cost 0 13.464 * * [simplify]: Extracting # 2 : cost 0 13.465 * * [simplify]: Extracting # 3 : cost 0 13.465 * * [simplify]: Extracting # 4 : cost 0 13.465 * * [simplify]: iteration 1 : 329 enodes (cost 742 ) 13.577 * * [simplify]: Extracting # 0 : cost 0 13.579 * * [simplify]: Extracting # 1 : cost 0 13.581 * * [simplify]: Extracting # 2 : cost 0 13.582 * * [simplify]: Extracting # 3 : cost 0 13.584 * * [simplify]: Extracting # 4 : cost 0 13.585 * * [simplify]: Extracting # 5 : cost 0 13.587 * * [simplify]: Extracting # 6 : cost 0 13.588 * * [simplify]: iteration 2 : 897 enodes (cost 598 ) 15.253 * * [simplify]: Extracting # 0 : cost 0 15.258 * * [simplify]: Extracting # 1 : cost 0 15.262 * * [simplify]: Extracting # 2 : cost 0 15.265 * * [simplify]: Extracting # 3 : cost 0 15.268 * * [simplify]: Extracting # 4 : cost 0 15.270 * * [simplify]: iteration 3 : 2652 enodes (cost 596 ) 16.900 * * [simplify]: Extracting # 0 : cost 0 16.915 * * [simplify]: Extracting # 1 : cost 0 16.923 * * [simplify]: Extracting # 2 : cost 0 16.931 * * [simplify]: iteration done: 5000 enodes (cost 569 ) 16.931 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -1 -1 (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (- (log1p (/ y x))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (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 (- (/ (+ y x) x)) (/ 1 (+ y x)) x (/ 1 (+ y x)) x (/ 1 (+ y x)) x (/ x (+ x y)) (+ (/ y x) 1) (/ 1 (+ y x)) (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ x (+ (pow x 3) (pow y 3))) (/ (/ x (+ x y)) (- x y)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (+ (/ y x) 1) (log1p (/ y x)) (log1p (/ y x)) (log1p (/ y x)) (log1p (/ y x)) (log1p (/ y x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (+ (pow x 3) (pow y 3)) (* x (fma x x (* y (- y x)))) (* (+ x y) (- x y)) (* x (- x y)) (* (sqrt (+ x y)) (sqrt (/ 1 x))) (* (sqrt (+ x y)) (sqrt (/ 1 x))) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (+ x y) (sqrt (/ 1 x))) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ y x) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ y x) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ y x) (+ y x) (+ y x) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) x) (+ (/ y x) 1) (+ (/ y x) 1) (+ y x) (fma x x (/ (pow y 3) x)) (- x (/ (* y y) x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 16.932 * * * [progress]: adding candidates to table 17.129 * [progress]: [Phase 3 of 3] Extracting. 17.129 * * [regime]: Finding splitpoints for: (# # # #) 17.129 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 17.129 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # # #) 17.144 * * * * [regimes]: Trying to branch on y from (# # # #) 17.160 * * * * [regimes]: Trying to branch on x from (# # # #) 17.187 * * * [regime]: Found split indices: #